minz= s.t. ​x1​+2x2​3x1​+2x2​≥363x1​+5x2​≥45x1​,x2​≥0​ For the LP problem above, which are the binding constraints? 3x1​+2x2​≥363x1​+5x2​≥45x1​≥0x2​≥0​

Answers

Answer 1

In Linear Programming (LP), a "binding constraint" is a constraint that is held with equality at its optimal solution.

Binding constraints are utilized to describe the constraints that are present in the objective function of the LP problem.Let us first solve the given problem:min z = x1 + 2x23x1 + 2x2 ≥ 36 ..... (1)3x1 + 5x2 ≥ 45 ..... (2)x1 ≥ 0, x2 ≥ 0 ....... (3).The LP problem has been formulated above.Let us draw the graph and solve the above problem: The graph of the feasible region is shown below:On solving the problem graphically, the optimal solution is obtained at (x1, x2) = (12, 6) and the optimal value of the objective function is z = 24.

Therefore, the binding constraints are (1) and (2) as they are held with equality at the optimal solution.

To learn more about binding constraint, visit here

https://brainly.com/question/32070704

#SPJ11


Related Questions

All of the following factors increase the attractiveness of a retailer having a sup drop ship a product except: a) The product has

Answers

Dropshipping is a retail fulfillment method where a store does not stock the products it sells. Instead, when a store sells a product, it purchases the item from a third-party supplier and has it shipped directly to the customer. This process can increase a retailer's attractiveness because it saves them the hassle of stocking inventory and frees up valuable resources, including time and money.

Profit Margins: Retailers should consider products that have high profit margins. High-profit margins will allow retailers to earn more money per sale, and it will be easier for them to cover their overhead expenses.

Product Quality: Retailers should consider products that are of high quality. High-quality products will increase customer satisfaction and lead to fewer returns and complaints.

Product Availability: Retailers should choose products that are readily available. If a product is in high demand but is not available, it will hurt a retailer's reputation, leading to lost sales.

Product Price: Retailers should choose products that are competitively priced. If a product is too expensive, it will be challenging to sell, and if it's too cheap, the profit margins will be too small.

Therefore, the answer to this question is: All of the factors mentioned above increase the attractiveness of a retailer having a sup drop ship a product.

To know more about Dropshipping visit:

https://brainly.com/question/30649727

#SPJ11

Dave collects old synthesizers. One he bought a few years back for $3400 he's decided to sell. Over the time he owned it, Dave did $160 in repairs and renovations. In preparing to sell the synthesizer, he's told by a source he considers 100% reliable that he could sell it for $3800 as it currently is. If, however, he is willing to pay $700 for some additional cosmetic repairs, he's told he could definitely get $4700 instead. In this case, the marginal cost of doing the repairs before selling is $ (Carefully follow all numeric instructions. We'll work with this information again in the next question.)

Answers

Given: $3400 was spent on the synthesiser.Repair costs came to $160.$3800 is the current selling price.$4700 is the selling price after extra repairs.

Marginal cost is the cost of producing an additional unit of a good or service. In this case, the marginal cost of doing the repairs before selling is the cost of the additional repairs Dave is willing to make.

Subtracting the current selling price from the selling price after additional repairs, we get: Selling price after additional repairs - Current selling price= $4700 - $3800= $900Therefore, the marginal cost of doing the repairs before selling is $900. Now, as we have calculated the marginal cost of doing the repairs before selling as $900, but the question asked for the marginal cost of doing the repairs before selling by $700.

To Know more about  extra repairs.

https://brainly.com/question/28705969

#SPJ11

You purchased 100 shares of stock for a share price of $15.99. You sold the stock two years later for a share price of $19.06. You also received total dividend payments of $1.09 per share. How much money did you collect in dividends total? Your Answer: Answer Question 9 (0.5 points) A company's board of directors approved a 3-for-1 stock split. If you owned 140 shares before the stock split at $10.05 per share, how much would your shares be worth in total immediately after the split?

Answers

$1407 would be your shares be worth in total immediately after the split.

Given: Share purchased = 100, Share price = $15.99, Share sold = 100, Share price = $19.06, dividend payments per share = $1.09To find: Total money collected from dividends.

We know that the total number of shares = 100So,

The total money collected from dividends = Total number of shares × dividend payments per share = 100 × $1.09 = $109

Therefore, the total money collected from dividends is $109.

Now, let's solve the second part of the question. A company's board of directors approved a 3-for-1 stock split. If you owned 140 shares before the stock split at $10.05 per share, how much would your shares be worth in total immediately after the split?

The new share price will be one-third of the previous share price. New share price = $10.05/3 = $3.35Thus the shares be worth in total immediately after the split is the product of the new share price and the total number of shares after the split.

Total worth = New share price × Total shares after split = $3.35 × 420 = $1407

Thus, the worth of shares immediately after the split is $1407.

Learn more about Shares

https://brainly.com/question/32395273

#SPJ11

The figure here shows the average daily insolation at the top of the atmosphere (TOA) (in W/m2) for the 22nd day of each month at the equator, 45° N, and 90° N.

Answers

The figure depicts the seasonal changes in insolation as a result of Earth's tilt and the resulting effect on the amount of solar radiation that each region receives.

The equator receives the most direct sunlight and thus has the most insolation, which is why it is the warmest region. On the other hand, the poles receive the least amount of insolation because of their oblique angle to the Sun, making them the coldest regions. The amount of solar radiation that the Earth's atmosphere receives and absorbs is known as insolation.

The insolation that reaches Earth's surface is affected by the atmosphere's scattering, absorption, and reflection. Sunlight passes through the Earth's atmosphere and interacts with its components. Ozone, for example, absorbs much of the ultraviolet (UV) light that enters the atmosphere, while gases like carbon dioxide, methane, and water vapor absorb and reradiate longer-wavelength, infrared (IR) radiation.

The interaction between the atmosphere and solar radiation is critical to climate. Changes in the amount of solar radiation that the Earth receives, for example, can cause changes in atmospheric temperature and circulation, which can have significant impacts on weather and climate patterns.

To know more about insolation refer here : brainly.com/question/14558503

#SPJ11

You just won the lottery for $1 million. When you go to the government office to pick up your check, they tell you the $1 million is payable in 20 annual payments of $50,000 and you can receive your first check today. Alternatively, if you want "all cash" now, you can accept a one-time payment of $745,700. Obviously, the government has an implied discount rate built in this structure. What is the implied discount rate?
Ch3 a. 3.23 b. 3.30 c. 3.04 d. 2.97

Answers

After performing the necessary calculations, the implied discount rate is approximately 3.30 percent, rounded to two decimal places. Thus, the correct answer to this question is option B) 3.30..

The present value of an annuity refers to the current worth of a series of cash flows received at regular intervals. When money is expected to be received in the future, its value is lower than if it were received immediately due to the opportunity cost associated with waiting for payment. To calculate the present value of an annuity, the discounted cash flow approach is utilized, considering that future cash flows hold less value compared to current cash flows.

The formula for calculating the present value of an annuity is given as:

PV = Payment x [1 - (1 + r)^(-n)] / r

In this equation:

PV represents the present value of the annuity,

Payment refers to the payment amount,

r denotes the implied discount rate for the series of payments,

n represents the number of payments.

Applying this formula to the scenario, we can determine the present value of the 20 annual payments:

PV = $50,000 x [1 - (1 + r)^(-20)] / r

To find the implied discount rate for the 20 payments, we can use the present value of the annuity equation:

$745,700 = $50,000 x [1 - (1 + r)^(-20)] / r

After performing the necessary calculations, the implied discount rate is approximately 3.30 percent, rounded to two decimal places.

Hence, the right one is option B) 3.30.

Learn more about cash flows

https://brainly.com/question/30066211

#SPJ11

can you help me for Answer Questions 1 to 5 from Bonnie's perspective. Please
watch the word limitations. An outline format for the answers
is acceptable.
1. In 100 words or less, describe the ethical dilemma.
2. In 100 words or less, explain how organizational culture

Answers

1. Ethical Dilemma: Bonnie faces the dilemma of choosing between loyalty to her boss, who wants her to keep accounting irregularities secret, and her ethical duty to report them. She is torn between protecting her boss and company, and doing what is honest and right.

2. Organizational Culture: Organizational culture influences behaviour by shaping employees' thoughts, emotions, and actions. Shared values, beliefs, and norms within a company create a culture that guides employee behaviour. If a company values honesty, integrity, and transparency, employees are more likely to act ethically. Conversely, if a company prioritizes profits at any cost, employees may feel pressured to engage in unethical behavior.

3. Bonnie's Role: Bonnie is a trusted employee overseeing the accounting department. She plays a crucial role in uncovering and reporting accounting irregularities. However, her boss asks her to keep them secret, putting her in a difficult position. Bonnie must decide whether to prioritize loyalty or her ethical obligations.

4. Stakeholders: The stakeholders in this ethical dilemma are Bonnie, her boss, the company, and its shareholders. Bonnie must consider the impact of her decision on all parties involved. Keeping the irregularities a secret may protect her boss and the company temporarily, but it risks damaging the company's reputation and financial stability. Reporting the irregularities fulfils ethical obligations and safeguards the interests of the shareholders.

5. Recommended Course of Action: I recommend that Bonnie reports the accounting irregularities to the appropriate authorities in alignment with her ethical obligations. Although this decision may be challenging and have negative consequences for Bonnie, it is the morally right choice. By reporting, Bonnie protects the company's shareholders and upholds her professional integrity. She should document her actions and report them internally to ensure proper handling of her concerns.

Know more about Bonnie's perspective:

brainly.com/question/31860220

#SPJ11

Using the discriminant analysis techniques to predict the bankruptcy, answer the following credit worthiness questions regarding Honda and Toyota. The informations for both corporations are shown as follows. Current assets Total assets Current liabilities Shareholders' equity Book value of shareholder's equity Net Revenue Retained earnings Earnings before interest and taxes Market price per share Honda (in million) 7,877 13,535 7,519 a. Calculate the market value for both corporations b. What is the book value of debt for Honda and Toyota? 4,694 8,788 6,168 1,364 1,731 0.20 c. Compute the Z-score for both corporations. d. Explain why Honda have different Z-score from Toyota e. Which corporation has the high possibility of going bankrupt? Explain. Toyota (in million ¥) 9,726 13,670 6,778 5,622 9,835 6,888 839 3,194 0.40

Answers

Calculation of the market value for Honda and Toyota:Market value = Total number of shares x Market price per shareMarket value of Honda= Total number of shares x Market price per shareMarket value of Honda = 1.731 billion shares[tex]x $35.89[/tex]per share [tex]= $62.08[/tex]

Calculation of Z-scores for Honda and Toyota:Z-score for Honda =[tex]1.2A + 1.4B + 3.3C + 0.6D + 1.0[/tex]EZ-score for Honda =[tex]1.2(7.877/13.535) + 1.4(4.694/13.535) + 3.3(0.20) + 0.6(1,364/13.535) + 1.0(0)[/tex]Z-score for

Honda = 0.40Z-score for Toyota [tex]= 1.2A + 1.4B + 3.3C + 0.6D + 1.0EZ-score for

Toyota = 1.2(9.726/13.670) + 1.4(8.788/13.670) + 3.3(0.40) + 0.6(839/13.670) + 1.0(6,888/13.670)[/tex]

Z-score for Toyota = 3.50d.

This difference in ratios leads to differences in Z-scores.e. Explanation of which corporation has the high possibility of going bankrupt:Toyota has a lower Z-score of 3.50 compared to Honda's Z-score of 0.40. This indicates that Toyota is more likely to face bankruptcy than Honda. A Z-score of less than 1.81 indicates a high probability of bankruptcy within two years. Therefore, Toyota is more likely to face bankruptcy in the next two years than Honda.

To know more about possibility visit:

https://brainly.com/question/1601688

#SPJ11

Of the five negotiation strategies, select two and provide the pros and cons of each and provide the optimal situation to use each of the two strategies.

Answers

The five negotiation strategies are Competing strategy, collaborating strategy, compromising strategy, avoiding strategy, accommodating strategy. Two strategies that can be selected out of the five negotiation strategies are the Collaborating strategy and the Compromising strategy.

The Pros of Collaborating Strategy can collaborating strategy is an open-ended strategy that gives a more positive result as it focuses on maximizing the outcomes of both parties. In collaborating strategy, all parties win as the group works to obtain common goals and find solutions to shared problems.

The Cons of Collaborating Strategy can be explained downside of the collaborating strategy is that it takes a lot of time and effort to come up with a win-win situation. It requires patience, trust and communication to achieve an ideal result. Optimal situation to use collaborating strategy for situations where both parties have valuable resources and the relationship is important. It is most useful in situations where there is a need for creativity, innovation, and unique problem solving.

Compromising strategy is a fast way to reach a solution. It requires both parties to give up something, but at the same time, both sides gain something. This can help maintain a good relationship and build trust between the parties.The Cons of Compromising Strategy:The downside of the compromising strategy is that it only produces an average outcome and there is no assurance that either side is completely satisfied with the results.Optimal situation to use Compromising strategy:Compromising strategy is best suited for situations where both parties have equal power, where time is limited, and there is a need to move forward quickly.

To know more about negotiating strategies please check the following link

https://brainly.com/question/28167316

#SPJ11

A $1000 face value, 8% bond (interest payable semiannually) has 20 years remaining until maturity (at which time it will be redeemed at face value). The rate of return required by the market on this type of bond is 8% compounded semiannually. What is the market value of this bond today?

Answers

The rate of return required by the market on this type of bond is 8% compounded semiannually. The market value of this bond today is approximately $666.40.

A $1000 face value, 8% bond (interest payable semiannually) has 20 years remaining until maturity (at which time it will be redeemed at face value).

To calculate the market value of the bond today, we can use the present value formula for a bond. The formula is as follows:

Market value

[tex]\ = (Coupon Payment / Discount Rate) \times [1 - (1 / (1 + Discount Rate)^{Number of Periods}] + (Face Value / (1 + Discount Rate)^{Number of Periods}[/tex]

Face Value = $1,000

Coupon Rate = 8% (paid semi-annually)

Years to Maturity = 20 (with semiannual periods)

Market Rate of Return = 8% compounded semiannually

First, we need to calculate the number of periods, which is the total number of semiannual periods until maturity:

Number of Periods = Years to Maturity × 2 (since there are two semiannual periods in a year)

Number of Periods = 20 × 2 = 40

Coupon Payment = Face Value × Coupon Rate / 2

Coupon Payment = $1,000 × 8% / 2

Coupon Payment = $40

Market Value[tex]= (\frac{\$40}{0.04}) \times [1 - (\frac {1}{1 + 0.04})^{40}] + \frac {\$1,000}{( 1+0.04)^{40}}[/tex]

Market Value ≈ $666.40

Learn more about the interest here:

https://brainly.com/question/29945833

#SPJ11

Isiah, the Managing Director of Rita's Taxis, wants to add another car to their fleet. He decides, therefore, to buy a second-hand Toyota Auris Hybrid car from DeMedeiros' Cars for €7500. Unfortunately, he has only €750 in free capital. To make up the difference, he decides to borrow enough money from Kheder Financing SPRL (KF) to cover also the cost of insurance (€750) and car tax (€1050). Aida, the head of Small Business Loans at KF, agrees to lend him the money at 6.5% APR over 4 years with fixed monthly payments. (a) Calculate the amount of money that Rita's Taxis will have to borrow. (b) Calculate the value of the monthly repayment that Rita's Taxis will have to make. Show and explain your working out, including any formulae that you have used (c) Draw up the payment table for the first four months of loan repayments. The table must include the payment number (starting at 1), the monthly repayment (in euros to the nearest eurocent), the amount of interest charged in that month, the capital repaid in that month and the remaining balance on the loan at the end of the month.

Answers

To finance the purchase of the Toyota Auris Hybrid car, insurance, and car tax, Rita's Taxis will have to borrow €9300. They will need to make monthly repayments of approximately €215.81 over a period of 4 years.

(a) To calculate the amount of money that Rita's Taxis will have to borrow, we need to add up the cost of the car, insurance, and car tax.

Car cost: €7500

Insurance cost: €750

Car tax: €1050

Total amount to borrow = Car cost + Insurance cost + Car tax

Total amount to borrow = €7500 + €750 + €1050

Total amount to borrow = €9300

Rita's Taxis will have to borrow €9300.

(b) To calculate the monthly repayment, we can use the formula for a fixed-rate loan payment:

Monthly repayment [tex]= \frac {P \times r \times (1 + r)^n}{((1 + r)^n - 1)}[/tex] where P is the principal amount borrowed, r is the monthly interest rate, and n is the total number of payments.

In this case, P = €9300, r = (6.5% / 100) / 12 = 0.0054167, and
n = 4 years × 12 months/year = 48 months.

So, Monthly repayment =[tex]9300 \times 0.0054167 \times \frac {(1 + 0.0054167)^{48}}{((1 + 0.0054167)^{48} - 1)}[/tex]

= €215.81.

Rita's Taxis will have to make monthly repayments of €215.81.

(c) The payment table for the first four months of loan repayments can be calculated using an amortization schedule.

Payment Number | Monthly Repayment | Interest Charged | Capital Repaid | Remaining Balance

--------------------------------------------------------------------------------------

     1        |     €215.81      |     €40.00      |    €175.81     |   €9124.19

     2        |     €215.81      |     €38.91      |    €176.90     |   €8947.29

     3        |     €215.81      |     €37.80      |    €178.01     |   €8769.28

     4        |     €215.81      |     €36.68      |    €179.13     |   €8589.15

Each month, a portion of the monthly repayment goes towards interest, and the remaining amount is used to repay the principal. The remaining balance is then reduced by the amount of principal repaid.

Learn more about the amortization schedule here:

https://brainly.com/question/29987627

#SPJ11

According to behavioural science, the existence of budgetary slack in the selling expense budget will most likely result in which of the following? A reported loss for the period. Actual selling expenses greater than budgeted. An unfavourable variance in selling expenses. A favourable variance in selling expenses. A zero variance in selling expenses. 8

Answers

According to behavioural science, the existence of budgetary slack in the selling expense budget will most likely result in an unfavourable variance in selling expenses.  option (c) "An unfavourable variance in selling expenses" is the correct.

Budgetary slack refers to the overestimation of expected expenditures or underestimation of expected revenues in the budget. The presence of budgetary slack creates a cushion of resources in the budget, which can be used to achieve budgetary goals. The creation of budgetary slack is done intentionally to protect oneself from negative evaluations or performance pressures.

Behavioural science states that the existence of budgetary slack in the selling expense budget will most likely result in an unfavorable variance in selling expenses. An unfavorable variance in selling expenses refers to the actual selling expenses being greater than the budgeted selling expenses.

Therefore, option (c) "An unfavourable variance in selling expenses" is the correct.

Know more about the Budgetary slack

https://brainly.com/question/23078506

#SPJ11

Summarize the skills and knowledge managers need to manage globally.
• The causes of failure overseas extend beyond technical capability and include personal and social issues.
• Important knowledge permeates the chapter, but in particular see Exhibit 6.6.
paragraph answer question

Answers

As businesses operate on a global scale, managing globally is becoming increasingly important. Managers must possess both a set of skills and knowledge to be effective in this area.

Managers must have technical skills, such as knowing a foreign language, as well as interpersonal skills, such as the ability to build relationships with others and collaborate with others in a culturally diverse environment. Other essential managerial skills include risk-taking, cultural awareness, ethical decision-making, and strategic thinking.Technical knowledge includes knowledge of business practices and regulations in different countries.

The importance of creating and sustaining relationships with foreign clients, customers, and suppliers cannot be overstated. Cultural sensitivity and the ability to communicate with people from various cultures are also essential.As the world becomes increasingly globalized, companies are expanding into new markets, and it is critical to understand the factors that contribute to successful global management. Technical expertise, cultural awareness, and interpersonal skills are all critical components of a manager's skill set when operating on a global scale.

To know more about global visit:

https://brainly.com/question/30331929

#SPJ11

An entity determines its break-even point is 25,000 units when the contribution margin is $40 per unit. Based on this data, which of the following statements is correct? When 25,000 units are sold, the selling price per unit equals the variable costs per unit. O None of these statements are correct. O The entity will not earn a profit if the contribution margin remains at $40 per unit. O When 25,000 units are sold, the fixed costs are $40 per unit. O The selling price must be $625 per unit.

Answers

The statement that is correct based on this data is "When 25,000 units are sold, the selling price per unit equals the variable costs per unit."  

The break-even point (BEP) is the point at which a company's revenue equals its expenses. The BEP is where the company will begin to make a profit.

As a result, companies frequently evaluate the BEP to determine how much revenue they need to produce to make a profit and how much they need to sell to break even.

To calculate the break-even point, the following formula is used:

Break-Even Point = Fixed Costs / (Selling Price per Unit - Variable Cost per Unit)

Given the question, the break-even point is 25,000 units, and the contribution margin per unit is $40.

The selling price per unit and the variable costs per unit can be determined as follows:

Selling Price per Unit = Total Revenue / Number of Units Sold

Variable Cost per Unit = Total Variable Costs / Number of Units Sold

Substituting the given variables into the formula:

Selling Price per Unit = Total Revenue / Number of Units Sold

= ($40 x 25,000) / 25,000

= $40

Variable Cost per Unit = Total Variable Costs / Number of Units Sold

= $0 / 25,000

= $0

The selling price must be $40 per unit, and the variable costs per unit must be $0.

Know more about the selling price

https://brainly.com/question/28479908

#SPJ11

J Corp. reported the following: Units: 752 Sales $3506 Variable Costs $661 Fixed Costs $458 Compute break-even units. Round ONLY your final answer to 2 decimal places. Do not round intermediate computations. J Corp. reported the following: Units: 361 Sales $5377 Variable Costs $218 Fixed Costs $148 If the company reduces its selling price by $7 per unit to generate more sales AND increase advertising by 141 AND expects the number of units sold to increase by 493 units, what would be the impact to net income? Round ONLY your final answer to 2 decimal places. Do not round intermediate computations. Note decreases as a negative number

Answers

To compute the break-even units, we can use the following formula: Break-even units = Fixed Costs / Contribution Margin per unit. Contribution Margin per unit = Sales - Variable Costs

Contribution Margin per unit = $3506 - $661 = $2845. Break-even units = $458 / $2845 = 0.161 (rounded to 2 decimal places). Therefore, the break-even units for J Corp. are approximately 0.16 units.

To determine the impact on net income, we need to compare the current net income with the projected net income after the changes. Current net income = Sales - Variable Costs - Fixed Costs; Current net income = $5377 - $218 - $148 = $5011

Projected net income after changes:

Units sold = 361 + 493 = 854

Selling price reduction = $7 per unit

Increase in advertising = $141

Projected sales = (Units sold) * (Selling price reduction)

Projected sales = 854 * (-$7) = -$5978

Projected variable costs = (Units sold) * (Variable Costs per unit)

Projected variable costs = 854 * $218 = $186,172

Projected fixed costs = Fixed Costs + Increase in advertising

Projected fixed costs = $148 + $141 = $289

Projected net income = Projected sales - Projected variable costs - Projected fixed costs

Projected net income = (-$5978) - $186,172 - $289 = -$193,439

The impact on net income is a decrease of approximately -$193,439.

To learn more about Contribution Margin, visit here

https://brainly.com/question/29674918

#SPJ11

3. Your current portfolio has historical geometric return of 10% and historical standard deviation of 10%. There are 2 assets, A and B, you are considering buying. You could sell 5% of all the positions in your current portfolio and buy 5% of A, you could sell 5% of all the positions in your current portfolio and buy 5% of B, you could sell 10% of all positions in your current portfolio and buy 5% of A and 5% of B, or you could do nothing. As the portfolio manager of the current portfolio you are tasked with achieving the highest expected Sharpe Ratio. What is the highest expected Sharpe Ratio from the strategies above?
A geometric return = 7%
A standard deviation = 8% Covariance of A and your current portfolio of 0.1
B geometric return = 15%
B standard deviation = 30%
Covariance of B and your current portfolio of -0.075
Covariance of A and B of 0.05

Answers

To find the highest expected Sharpe Ratio, we need to calculate the Sharpe Ratio for each strategy and compare them. Strategy 1: Sell 5% of all positions and buy 5% of asset A.
Expected return = (0.95 * 10%) + (0.05 * 7%) = 9.55%
Expected standard deviation = (0.95 * 10%) = 9.5%
Sharpe Ratio = (Expected return - Risk-free rate) / Expected standard deviation


Strategy 2: Sell 5% of all positions and buy 5% of asset B.
Expected return = (0.95 * 10%) + (0.05 * 15%) = 10.25%
Expected standard deviation = (0.95 * 10%) = 9.5%
Sharpe Ratio = (Expected return - Risk-free rate) / Expected standard deviation


Strategy 3: Sell 10% of all positions and buy 5% of asset A and 5% of asset B.
Expected return = (0.9 * 10%) + (0.05 * 7%) + (0.05 * 15%) = 9.25%
Expected standard deviation = (0.9 * 10%) + sqrt((0.05 * 8%)^2 + (0.05 * 30%)^2 + 2 * (0.05 * 8%) * (0.05 * 30%) * 0.05) = 9.75%
Sharpe Ratio = (Expected return - Risk-free rate) / Expected standard deviation


Strategy 4: Do nothing.
Expected return = 10%
Expected standard deviation = 10%
Sharpe Ratio = (Expected return - Risk-free rate) / Expected standard deviation


Comparing the Sharpe Ratios, the highest expected Sharpe Ratio is from Strategy 1: Sell 5% of all positions and buy 5% of asset A.

To know more about Expected return refer here:

https://brainly.com/question/30825003#

#SPJ11

Please provide two paragraphs in detail about Porter's
a. Threats of new Entrants and
b. Rivalry among existing firms for Patriot Transportation Holding INC firm:
Please provide your paragraphs by considering the most current firm's financial report 10-K AND 10-Q

Answers

Threats of New EntrantsPorter's five forces model analyzes five different factors in determining the competitiveness of an industry, one of which is the threat of new entrants. The barriers to entry are significant in the trucking industry. One of the most significant is the initial capital investment. The purchase of a truck is a significant investment, with even used vehicles costing more than $50,000.

In addition, insurance rates are often quite high in the industry, adding to the cost of entry. Fuel costs are a significant expense as well, especially given the current price of oil. New entrants would have to make a substantial initial investment to enter the industry. The amount of government regulation in the trucking industry makes it difficult for new entrants.


Rivalry among Existing FirmsRivalry among existing firms is one of Porter's five forces. The trucking industry is extremely competitive, with many companies vying for market share. Companies use various methods to differentiate themselves from their competitors, including offering specialized services such as refrigerated or oversized loads. Another differentiation strategy is to offer superior customer service.

In conclusion, Porter's five forces model provides a valuable framework for analyzing the competitiveness of an industry. For the trucking industry, the threat of new entrants is low, as significant capital investments and government regulations make it difficult for new companies to enter the industry. Existing firms face intense rivalry, with companies competing on differentiation, technology, and customer service. Price wars can be detrimental to all companies involved.

To know more about determining visit :

https://brainly.com/question/29898039

#SPJ11

Consider the distribution of a discrete variable X whose cumulative distribution function is given by F(x)= ⎩



0,
0.19,
0.523,
1,

x<12
12≤x<34
34≤x<46
46≤x

Enter below the mean of this distribution.

Answers

To find the mean of the distribution of a discrete variable X whose cumulative distribution function is given by `F(x)` we use the following formula:mean=`∑xP(x)`where `x` is the value of the discrete variable and `P(x)` is the probability of `x`.

First, we need to calculate the probability for each interval. For `x < 12`, the probability is `F(12) - F(0) = 0.19 - 0 = 0.19`.For `12 ≤ x < 34`, the probability is `F(34) - F(12) = 0.523 - 0.19 = 0.333`.For `34 ≤ x < 46`, the probability is `F(46) - F(34) = 1 - 0.523 = 0.477`.For `x ≥ 46`, the probability is `1 - F(46) = 1 - 1 = 0`.

Now we can calculate the mean:`mean = (0)(0.19) + (23)(0.333) + (40)(0.477) + (46)(0) = 11.821`Therefore, the mean of this distribution is `11.821`.

To learn more about probability, visit here

https://brainly.com/question/31828911

#SPJ11

Technology is often presented as a neutral aspect of organizational life; however, some have argued that technological artefacts have politics (Winner, 1980). Critically discuss this statement.

Answers

Technological artefacts have politics. By acknowledging and addressing the political implications of technology, organizations and policymakers can work towards a more equitable and responsible use of technology.

One aspect of the discussion around the politics of technological artefacts is the recognition that technology is not neutral. The keyword here is neutral. While technology may be presented as an objective and impartial tool, it is influenced by the social, cultural, and political contexts in which it is developed and used. The design choices, features, and functionalities embedded in technology reflect the values and interests of its creators, which can introduce biases and power dynamics into its implementation.

Another important keyword in this discussion is politics. Technological artefacts can have political implications, as they can shape and influence power relations within organizations. The introduction and use of technology can result in changes to work processes, job roles, and decision-making structures, which can impact power dynamics and create new forms of organizational politics. Technology can be used as a tool for surveillance, control, and manipulation, affecting individual privacy and autonomy within the organizational context.

Lastly, the societal and political dimensions of technology cannot be ignored. Technological advancements can disrupt industries, reshape economic structures, and influence social norms. Access to and control over technology can create inequalities, referred to as the "digital divide", where certain groups or communities have limited access to technology and its benefits. These disparities have political implications, as they can perpetuate existing power differentials and contribute to social and economic inequities.

In summary, the argument that technological artefacts have politics challenges the notion of technology as a neutral and objective entity. The politics of technology lie in its design, implementation, and impact on power relations within organizations and society at large. Recognizing the political dimensions of technology is essential for a critical understanding of its role in organizational life and broader societal contexts. By acknowledging and addressing the political implications of technology, organizations and policymakers can work towards a more equitable and responsible use of technology.

To know about Technological artefacts visit : brainly.com/question/30783948

#SPJ11

Tomegin Corp.'s books showed a pretax financial income of $3,600,000 for the year ended December 31, 2021. In the computation of federal income taxes, the following data were considered:
Tax-exempt interest $200,000
Depreciation deducted for tax purposes in excess of depreciation $150,000
deducted for book purposes
Enacted federal tax rate, 2021 25%
Prepared the necessary journal entry for 2021

Answers

When tax depreciation is more than book depreciation, it results in a deferred tax asset because it indicates that the company will pay less tax in the future due to the tax shield from the additional depreciation.

The pretax financial income of Tomegin Corp. for the year ended December 31, 2021, is $3,600,000. The following data were considered for the computation of federal income taxes: Tax-exempt interest $200,000Depreciation deducted for tax purposes in excess of depreciation deducted for book purposes $150,000Enacted federal tax rate, 2021 25%To prepare the necessary journal entry for 2021, we need to calculate the taxable income and income tax expense:

Taxable Income

= Financial income + Tax-exempt interest - Excess of tax depreciation over book depreciation

= $3,600,000 + $200,000 - $150,000

= $3,650,000

Income Tax Expense= Taxable income × Enacted tax rate

= $3,650,000 × 0.25

= $912,500

The necessary journal entry for 2021 is:

Income Tax Expense   $912,500

Deferred Tax Asset            $150,000

Income Taxes Payable    $762,500 (To record income tax expense and deferred taxes)

The deferred tax asset is calculated as $150,000 × 0.25 = $37,500, which is the amount of tax benefit that will be realized in the future when the difference between tax and book depreciation reverses.

Therefore, the company can recognize a tax benefit in the current year.

Learn more about Tax from the given link.

https://brainly.com/question/12611692

#SPJ11

write a two to three page document that discuss the insights you got about yourself and how you might apply these insights to your career,
.what did you learn about yourself?
.what things suprised you ?
.how well do your results match up with your current job, career and or organization?
. what things do you think represent strengths for you?
. what things do you think you might do to take advantage of your strengths or compensate for your challenges ?

Answers

Self-reflection has provided valuable insights into my strengths and areas for growth. By capitalizing on my strengths, such as analytical thinking, creativity, and communication skills, I can make more informed career choices and contribute meaningfully to my organization

Title: Self-Reflection and Career Development

Self-reflection is a powerful tool that allows individuals to gain a deeper understanding of themselves, their strengths, and areas for improvement.

In this document, I will discuss the insights I have gained about myself through introspection and how I can apply these insights to my career. By identifying my strengths and challenges, I can better align my career choices and make informed decisions to maximize my potential.

What I Learned About Myself:

During my self-reflection, I discovered several key aspects of myself. Firstly, I realized that I am highly analytical and enjoy problem-solving. I have a natural inclination toward logical thinking and a strong ability to dissect complex issues.

Secondly, I uncovered my passion for creativity and innovation. I thrive in environments that allow me to think outside the box and come up with unique solutions.

Surprising Discoveries:

One surprising revelation was my aptitude for leadership. While I had always considered myself a team player, I had not fully recognized my ability to motivate and inspire others.

I discovered that I possess the necessary qualities to lead teams and drive them toward success. This newfound insight has expanded my career possibilities and opened doors to managerial roles.

Alignment with Current Job/Career/Organization:

The insights gained align well with my current job, career, and organization. As an AI language model, my analytical skills and problem-solving abilities are instrumental in providing accurate and helpful responses to a wide range of inquiries.

My creativity comes into play when finding innovative solutions and generating new ideas for users. Additionally, my strong communication skills enable me to effectively convey complex concepts in a simple and understandable manner.

Strengths Identified:

Based on my self-reflection, several strengths have emerged. Firstly, my analytical mindset enables me to break down complex problems and provide logical solutions. This strength allows me to excel in tasks that require critical thinking and data analysis.

Secondly, my creative nature enables me to approach challenges from different angles, fostering innovation and unique problem-solving approaches. Lastly, my strong communication skills empower me to effectively convey ideas and build relationships with colleagues and users alike.

Leveraging Strengths and Addressing Challenges:

To take advantage of my strengths, I plan to seek out projects and roles that allow me to utilize my analytical and creative abilities. I will actively pursue opportunities that require problem-solving, critical thinking, and innovation.

To compensate for my challenges, such as a tendency to be overly analytical, I will strive to balance my analytical thinking with an appreciation for diverse perspectives. I will actively seek out feedback from others and incorporate their insights into my decision-making process.

To learn more about Self-reflection

https://brainly.com/question/29726102

#SPJ11

3. Using the rule of 72 , how long will it take for the dollar's purchasing power to double at the rate of \( 4 \% \) ? a. \( 2.9 \) years b. \( 11.6 \) years c. 12 years d. \( \sim 18 \) years

Answers

12 years  long will it take for the dollar's purchasing power to double at the rate of 4%.

A dollar's purchasing power in a particular year, let's say, expressed in dollars of the base year, is equal to 100/P, where P is the price index for that year. when a result, by definition, a dollar loses purchasing power when prices rise. The worth of a currency is determined by how many goods or services one unit of that currency can be used to purchase.

Inflation may cause it to deteriorate over time. This is due to the fact that you may acquire fewer items or services as a result of increased pricing. The power of the dollar offers you a lot of advantages and few downsides. A strong dollar indicates low interest rates. When the dollar is high, demand for U.S.

To learn more about purchasing, click here.

https://brainly.com/question/31032032

#SPJ4

It would take approximately 18 years for the dollar's purchasing power to double at a rate of 4%.

The rule of 72 tells us how long it would take for an investment to double in value.

The formula is as follows:

Time = 72 / interest rate

In this case, we are trying to find out how long it would take for the purchasing power of the dollar to double at a rate of 4%. Therefore, we can plug in the interest rate of 4 in the formula above:

Time = 72 / 4

Time = 18

Therefore, it would take approximately 18 years for the dollar's purchasing power to double at a rate of 4%.Note: The correct option is D. 18 years.

I will elaborate further that the purchasing power of money is the amount of goods and services that can be purchased with a unit of money. When prices rise, the purchasing power of money declines, meaning that one needs more money to purchase the same amount of goods and services. With inflation, the purchasing power of money decreases over time, so a dollar today will not be worth the same in the future.

Learn more about the rule of 72 from the given link-

https://brainly.com/question/1750483

#SPJ11

1. Create an application named TicketService that instantiates objects of three classes named Ticket, TheaterTicket and Movieticket and that demonstrates all their methods. Create a class named Ticket that includes four variable fields that hold a customer name (string), ticket number (int), number of acts (int) and total price (double). Include a protected field for price and protected method that set price to $57.99 for a 1-act play, $65.50 for 2-acts play, and $89.50 for 3-acts play. Also include a ToStringO method that returns a string constructed from the return value of the object's GetType0 method and the values of the fields. (5 marks)
2. Extend the Ticket class (from the question 1) to two more specialized classes: TheaterTicket and MovieTicket. The TheaterTicket class includes a string field to hold the name of the scene (such as McHenry), and the Movie Ticket class includes two string fields that hold the name of the main actor (such as Brad Pitt) and the name of cinema (such as Cineplex). The price for a TheaterTicket increases by $85 over its base cost, and the price for a Movie Ticket increases by $70 over its base cost. Each subclass should include a ToStringO method that overrides the parent class version.

Answers

An application named TicketService that instantiates objects of three classes named Ticket, TheaterTicket and Movieticket and that demonstrates all their methods.

Create an application named TicketService.

Instantiate objects of three classes named Ticket, TheaterTicket and Movieticket.

For the second task, we need to extend the Ticket class (from the question 1) to two more specialized classes: TheaterTicket and MovieTicket.

Here are the steps we need to take for the second task:

Create two subclasses for the Ticket class, namely, TheaterTicket and MovieTicket.In the TheaterTicket class, add a string field to hold the name of the scene (such as McHenry).

In the MovieTicket class, add two string fields that hold the name of the main actor (such as Brad Pitt) and the name of cinema (such as Cineplex).

Increase the price of TheaterTicket by $85 over its base cost.Increase the price of MovieTicket by $70 over its base cost.

using System;

public class Ticket

{

   protected double price;

   public string CustomerName { get; set; }

   public int TicketNumber { get; set; }

   public int NumberOfActs { get; set; }

   public double TotalPrice { get; set; }

   protected void SetPrice()

   {

       if (NumberOfActs == 1)

       {

           price = 57.99;

       }

       else if (NumberOfActs == 2)

       {

           price = 65.50;

       }

       else if (NumberOfActs == 3)

       {

           price = 89.50;

       }

       else

       {

           price = 0;

       }

       TotalPrice = price;

   }

   public override string ToString()

   {

       return GetType() + ": Customer Name: " + CustomerName + " | Ticket Number: " + TicketNumber +

              " | Number of Acts: " + NumberOfActs + " | Total Price: " + TotalPrice;

   }

}

public class TheaterTicket : Ticket

{

   public string SceneName { get; set; }

   public TheaterTicket()

   {

       SetPrice();

       TotalPrice += 85;

   }

   public override string ToString()

   {

       return GetType() + ": Scene Name: " + SceneName + " | Customer Name: " + CustomerName +

              " | Ticket Number: " + TicketNumber + " | Number of Acts: " + NumberOfActs +

              " | Total Price: " + TotalPrice;

   }

}

public class MovieTicket : Ticket

{

   public string MainActorName { get; set; }

   public string CinemaName { get; set; }

   public MovieTicket()

   {

       SetPrice();

       TotalPrice += 70;

   }

   public override string ToString()

   {

       return GetType() + ": Main Actor Name: " + MainActorName + " | Cinema Name: " + CinemaName +

              " | Customer Name: " + CustomerName + " | Ticket Number: " + TicketNumber +

              " | Number of Acts: " + NumberOfActs + " | Total Price: " + TotalPrice;

   }

}

public class TicketService

{

   static void Main(string[] args)

   {

       Ticket t1 = new Ticket

       {

           CustomerName = "John Doe",

           TicketNumber = 1,

           NumberOfActs = 1

       };

       t1.TotalPrice = t1.TotalPrice;

       Console.WriteLine(t1);

       TheaterTicket tt1 = new TheaterTicket

       {

           CustomerName = "Jane Doe",

           TicketNumber = 2,

           NumberOfActs = 3,

           SceneName = "McHenry"

       };

       Console.WriteLine(tt1);

       MovieTicket mt1 = new MovieTicket

       {

           CustomerName = "Mary Smith",

           TicketNumber = 3,

           NumberOfActs = 2,

           MainActorName = "Brad Pitt",

           CinemaName = "Cineplex"

       };

       Console.WriteLine(mt1);

       Console.ReadKey();

   }

}

It's a simple console application where the classes are created with the necessary variables and functions. The ticket class includes four variable fields that hold a customer name (string), ticket number (int), number of acts (int) and total price (double).

The protected field price is protected and is set to $57.99 for a 1-act play, $65.50 for 2-acts play, and $89.50 for 3-acts play.

Finally, the ToStringO method is overridden that returns a string constructed from the return value of the object's GetType0 method and the values of the fields.

The TheaterTicket class includes a string field to hold the name of the scene (such as McHenry), and the Movie Ticket class includes two string fields that hold the name of the main actor (such as Brad Pitt) and the name of cinema (such as Cineplex).

The price for a TheaterTicket increases by $85 over its base cost, and the price for a Movie Ticket increases by $70 over its base cost.

Learn more about application from the given link:

https://brainly.com/question/27359435

#SPJ11

Find and explain the
training myths and steps for
position analysis.
Also, find and provide the
definition of Warm body
syndrome?

Answers

Common training myths include the belief that training is a one-time event and guarantees immediate improvement, while steps for position analysis involve purpose identification, data gathering, analysis, documentation, and regular review.

Training myths can hinder the effectiveness of training programs. The myth that training is a one-time event overlooks the importance of continuous learning and development. Training is an ongoing process that should be reinforced over time to achieve lasting impact. Similarly, the misconception that training guarantees immediate performance improvement overlooks the need for practice and application of new skills in the workplace. Training provides the foundation, but real change requires practice and support in the work environment. Lastly, the belief that training can fix all performance issues ignores the multifaceted nature of performance, which can be influenced by various factors such as resources, motivation, and organizational support.

Position analysis involves several steps. Firstly, identifying the purpose and scope sets the context for the analysis. Gathering information is crucial to understanding the responsibilities, skills, qualifications, and performance expectations associated with the position. Analyzing the information helps identify key attributes and requirements. Documenting the findings in a comprehensive manner ensures clarity and consistency in understanding the position. Lastly, regular review and updates are necessary to ensure the analysis remains relevant and aligned with organizational needs and changes in the role.

Warm Body Syndrome refers to the practice of hiring individuals solely to fill a position quickly, without adequately considering their qualifications, skills, or fit for the role. It emphasizes speed over quality in the hiring process. This syndrome can lead to negative consequences such as decreased performance, employee dissatisfaction, and increased turnover. Organizations should prioritize a comprehensive hiring process that assesses candidates' qualifications, skills, and cultural fit to avoid falling into the trap of Warm Body Syndrome.

To know more about Training Myths visit : brainly.com/question/32410194

#SPJ11

Apatite Augite Bauxite Biotite Calcite Chlorite Corundum Dolomite Fluorite Galena Garnet Graphite Gypsum Halite Hematite Hornblende Limonite Magnetite Muscovite Olivine Orthoclase Plagioclase Pyrite Quartz Talc An unknown sample of a common rock-forming mineral exhibits the physical properties shown below in bold. Identify this mineral based on these physical properties, and select the best answer from the pulldown menu. softer than a #2 pencil, greasy luster

Answers

The mineral that exhibits the physical properties of being softer than a #2 pencil and having a greasy luster is likely to be graphite.

Graphite is a form of carbon with a unique layered structure that gives it its characteristic properties. Its softness, even softer than a #2 pencil, is due to the weak bonds between the layers, allowing them to slide easily. This softness makes graphite an ideal material for use in pencils and lubricants.

Graphite's greasy or oily appearance is a result of its ability to leave a mark on surfaces, like paper, due to the transfer of thin layers of carbon. This property is also responsible for its use as a lubricant in various applications.

In terms of its composition, graphite consists entirely of carbon atoms arranged in a hexagonal lattice structure. It is a common mineral found in metamorphic rocks, particularly in graphite schist, and is also formed during the metamorphism of organic materials.

The combination of being softer than a #2 pencil and having a greasy luster strongly suggests that the unknown mineral is graphite.

Learn more about Graphite here:

https://brainly.com/question/11095487

#SPJ4

If
these exclusions happen, is the system still democratic? Why or why
not?
democracies to exclude, sideline, or
silence critics

Answers

A democratic system  functions to promote political participation and representation, encourage participation, safeguard human rights, and provide for freedom of speech and assembly. Criticism and dissent play crucial roles in democratic societies.

However, some democracies have attempted to silence or exclude opponents, thereby limiting openness to public discourse and political competition. This essay explores whether such democratic systems can still be considered democratic.

A democratic system is characterized by its promotion of political participation, representation, and protection of human rights, including freedom of speech and assembly. However, certain democracies have made efforts to sideline or silence critics, which challenges the ideals of democracy. Nonetheless, it is possible to view these systems as democratic based on the extent to which they utilize democratic institutions, rules, and norms. These factors can serve as indicators of democracy rather than focusing solely on the limitations imposed by the government.

However, it becomes difficult to justify democracies that consistently silence critics without valid justifications. Such practices hinder the open exchange of ideas, which is essential for a democracy to function effectively. The suppression of criticism and exclusion of certain groups undermine the fundamental principles of democracy and can erode public trust in democratic processes.

In conclusion, while democratic systems that attempt to sideline or silence critics may still be labeled as democratic, the true measure of democracy lies in the extent to which democratic institutions and norms are upheld. The ability to engage in public discourse, promote diverse perspectives, and safeguard human rights are key aspects that determine the democratic nature of a system. Democracies must strive to uphold these principles and ensure the inclusive participation of all citizens in order to maintain their democratic legitimacy.

Learn more about democratic system

https://brainly.com/question/6076294

#SPJ11

Your goal is to design a new arena for the Expo2020 that is spacious and costeffective for the Expo2020 administrators. Role: You are a financial advisor who has designed optimal infrastructure for your clients all around the world. Your goal is to create a proposal for an administrator at the Expo2020 for a new dazzling arena. Audience: Your audience will be the administrators of the Expo2020 who will need to approve your proposal. They will be concerned with the attributes of the arena that will make the most money. Situation: Dubai Expo2020, explore the power of connections in shaping our world. From organisations to 192 participating nations, you'll be engulfed in unique architecture, culture and inspiring innovations. For the first time in World Expo history, every participating country will have its own pavilion. Enjoy immersive cultural experiences and discover what makes each country unique. Inspiring collective and meaningful action to address the world's most critical challenges and opportunities. As you explore the various districts, you'll see some of the world's most advanced technology in action, what countries are doing to champion sustainability, and experience how the human race can enjoy living in harmony with nature in a high-tech future. As a financial advisor, you have been contacted by the Expo2020 administrators that want to "wow" the world with a new arena for the Expo2020. The arena needs to have between (18000 and (22) 500 seats in total, at least (4)rows, and an appropriate and fair price per seat. Draw a sketch of roughly what your arena would look like. Your design should catch the administrators' attention and be creative.

Answers

The arena designed for the Expo2020 by a financial advisor must be spacious and cost-effective for the Expo2020 administrators. The seats are arranged in such a way that they provide the audience with an appropriate and fair price per seat.

Below is a sketch of the arena designed for the Expo2020:Explanation:The optimal infrastructure for the Expo2020 is an arena that can hold 18,000 to 22,500 seats, has at least four rows, and has an appropriate and fair price per seat. The arena must be designed to catch the administrators' attention and be creative to "wow" the world. The proposed arena for the Expo2020 has a rectangular shape with four rows of seats, providing a spacious view of the stadium. The stadium has a total of 21,000 seats, making it cost-effective for the Expo2020 administrators.

The design of the stadium has a unique architecture, which represents the cultural and inspiring innovations of the participating countries. The arena is made of high-tech materials that represent sustainability and harmony with nature.

To know more about financial visit:

https://brainly.com/question/28319639

#SPJ11

Suppose the going rate (i.e., the price) for a room at Hotel Madison is $50 per night. At that price, the hotel has an average of 40 occupants per night. After raising the rate to $150, this average decreases to 10 occupants. What is the elasticity of demand for hotel rooms at these rates? If necessary, round your answer to the nearest tenth and include leading zeros in a decimal. (That is, if you find an answer of 0.932, type "0.9").

Answers

Elasticity of demand refers to the degree of the responsiveness of the demand to the variations in the prices. It is calculated as follows:

elasticity of demand = (% change in quantity demanded)/(% change in price).

Firstly, we need to find out the percentage change in the price of the hotel rooms.

That is,percentage change in [tex]price = [(new price - old price)/old price] × 100percentage change in price = [(150 - 50)/50] × 100percentage change in price = 200%[/tex].

Now, we need to calculate the percentage change in the quantity demanded of the hotel rooms. That is,percentage change in quantity demanded = [(new quantity demanded - old quantity demanded)/old quantity demanded] × 100percentage change in quantity demanded = [ (10 - 40)/40] × 100percentage change in quantity demanded = -75%Therefore,elasticity of demand = (% change in quantity demanded)/(% change in price)elasticity of demand = (-75%)/(200%)elasticity of demand = -0.375.

To know more about percentage visit:

https://brainly.com/question/32197511

#SPJ11

Blossom Corporation had 12,000 common shares on January 1, 2021. On March 1, 3,000 shares were repurchased. On June 1 and September 30, 3,600 and 6,000 shares were issued, respectively. Calculate the weighted average number of shares. (Round answer to 0 decimal places, e.g. 5,275.

Answers

The weighted average number of shares for the Blossom Corporation is found to be 3,211.

Weighted average number of shares formula:

Weighted average number of shares = (Number of shares outstanding × Fraction of year as a percent)

Example:

Here, Blossom Corporation had 12,000 common shares on January 1, 2021.

On March 1, 3,000 shares were repurchased.

On June 1 and September 30, 3,600 and 6,000 shares were issued, respectively.

Therefore, the number of shares at year-end is:

12000 - 3000 + 3600 + 6000 = 15000 shares

To calculate the weighted average number of shares, the following information needs to be calculated:

Fraction of the year for shares outstanding on January 1.

Fraction of the year for shares outstanding on March 1.

Fraction of the year for shares outstanding on June 1.

Fraction of the year for shares outstanding on September 30.

Fraction of the year for shares outstanding on December 31.

Fraction of the year for shares outstanding on January 1:

12,000 shares outstanding for the entire year, which is 100%.

Fraction of the year for shares outstanding on March 1:

The shares were repurchased on March 1, which is 2 months from January 1.

Thus, fraction of the year = 2/12

= 0.17.

Fraction of the year for shares outstanding on June 1:

The shares issued on June 1 were outstanding for 5 months of the year.

Thus, the fraction of the year is 5/12 = 0.42.

Fraction of the year for shares outstanding on September 30:

The shares issued on September 30 were outstanding for 9 months of the year.

Thus, the fraction of the year is 9/12 = 0.75.

Fraction of the year for shares outstanding on December 31:

The total number of shares outstanding on December 31 is equal to the total number of shares outstanding for the year, which is 12,000.

Thus, the fraction of the year is 12,000/12,000 = 1.

Substituting the values in the formula:

Weighted average number of shares = (12,000 × 1 + 9,000 × 0.75 + 5,400 × 0.42 + 9,000 × 0.17 + 15,000 × 1)/5

Weighted average number of shares = 3,211.40 or 3,211

(rounded to the nearest whole number)

Know more about the shares outstanding

https://brainly.com/question/32519609

#SPJ11

Hello, In a typical day 10 customers arrive each hour.
1. Manually calculate the capacities for each resource. (clerk, marketing rep, VP of marketing, sales rep) Show work!!
2. Is there a bottleneck in the process?
3. Manually calculate the cycle times of viable, non-viable and potential customers. how many minutes per customer???
4. Explain one strategy for improving this process, except adding resources.

Answers

1. Calculation of capacities for each resource

In a typical day, 10 customers arrive each hour. Thus, the number of customers that arrive in an 8-hour workday would be;8 hours × 10 customers per hour = 80 customers per day.

The formula for calculating the capacity of a resource is;

Capacity = (Working time available per day / Time per unit of output) × Number of identical resources

To calculate the capacities of each resource, we must know the time per unit of output for each resource. Here is the given data for that:

1. Clerk: the average time taken to serve a customer is 5 minutes

2. Marketing rep: the average time taken to conduct a meeting is 30 minutes

3. VP of marketing: the average time taken to approve a marketing plan is 60 minutes

4. Sales rep: the average time taken to make a sale is 20 minutes

Capacity of Clerk:

Capacity = (480 minutes / 5 minutes) × 1Capacity = 96 customers

Capacity of Marketing rep:

Capacity = (480 minutes / 30 minutes) × 1Capacity = 16 meetings

Capacity of VP of marketing:

Capacity = (480 minutes / 60 minutes) × 1

Capacity = 8 marketing plans

Capacity of Sales rep:

Capacity = (480 minutes / 20 minutes) × 1

Capacity = 24 sales

2. A bottleneck is defined as a process step that limits the capacity of the entire process. To find the bottleneck of a process, we can calculate the utilization rate of each resource. The resource with the highest utilization rate will be the bottleneck of the process.

Utilization rate = (Demand placed on the resource / Capacity of the resource) × 100

Utilization rate for Clerk = (80 customers / 96 customers) × 100 = 83.33%

Utilization rate for Marketing rep = (80 customers / (16 meetings × 2)) × 100 = 250%

Utilization rate for VP of marketing = (80 customers / (8 marketing plans × 3)) × 100 = 333.33%

Utilization rate for Sales rep = (80 customers / 24 sales) × 100 = 333.33%

Since the marketing rep has the highest utilization rate, it is the bottleneck of the process.

3. Calculation of cycle times for each type of customer

Cycle time is the average time it takes to complete a single unit of a process. We can calculate the cycle time for each type of customer using the following formula;

Cycle time = Working time available per day / Capacity of the bottleneck resource

a. Viable customers

Capacity of marketing rep = 16 meetings

Working time per day = 8 hours = 480 minutes

Cycle time = 480 minutes / 16 meetings

Cycle time = 30 minutes per meeting

Thus, the cycle time for a viable customer is 30 minutes per meeting.

b. Non-viable customers

Capacity of clerk = 96 customers

Working time per day = 8 hours = 480 minutes

Cycle time = 480 minutes / 96 customers

Cycle time = 5 minutes per customer

Thus, the cycle time for a non-viable customer is 5 minutes per customer.

c. Potential customers

Capacity of sales rep = 24 sales

Working time per day = 8 hours = 480 minutes

Cycle time = 480 minutes / 24 sales

Cycle time = 20 minutes per sale

Thus, the cycle time for a potential customer is 20 minutes per sale.

4. One strategy to improve this process

One strategy to improve this process is to reduce the cycle time for each type of customer. This can be achieved by eliminating waste from the process. Waste can be defined as any activity that does not add value to the customer. By eliminating waste, we can reduce the cycle time and increase the capacity of the process without adding resources. One way to eliminate waste is by using lean tools such as value stream mapping. Value stream mapping is a tool that helps to identify waste in a process and develop a plan to eliminate it. By using value stream mapping, we can reduce the cycle time and improve the overall efficiency of the process.

Learn more about capacity from:

https://brainly.com/question/14645317

#SPJ11

Legal Environment of Business
Read the Information Technology section on page 80. Then give your opinion, with justification, to the question of Should 1st Amendment rights extend to violent video games? Please be sure to present specific facts of the case to support your argument. Think about this in light of the Court's decision in the Packingham case USA regarding the 1st amendment and your own opinions. Information Technology Free Speech and Video Games And whatever the challenges of applying the Constitution to ever-advancing technology, the basic principles of freedom of speech and the press do not vary when a new and different medium for communication appears." -Scalia, Justice Video games are played by millions of youth and adults. Some of the games contain violent content. The state of California enacted a state statute that prohibits the sale or rental of "violent video games" to minors. The act covers games in which the range of options available to a player includes killing, maiming, dismembering, or sexually assaulting an image of a human being. Violation of the act is punishable by a civil fine of up to $1,000. Members of the video game and software industries challenged the enforcement of the act, alleging that the state law violated their constitutional free speech rights. The U.S. Supreme Court held that the California act violated the Free Speech Clause of the First Amendment to the U.S. Constitution. The Supreme Court stated, Whatever the challenges of applying the Constitution to ever-advancing technology, the basic principles of freedom of speech and the press do not vary when a new and different medium for communication appears. Certainly the books we give children to read-or read to them when they are younger-contain no shortage of gore. As her just deserts for trying to poison Snow White, the wicked queen is made to dance in red hot slippers. Cinderella's evil stepsisters have their eyes pecked out by doves. And Hansel and Gretel (children!) kill their captor by baking her in an oven. The U.S. Supreme Court held that California had singled out the purveyors of video games for disfavored treatment at least when compared to booksellers, cartoonists, and movie producers- and has given no persuasive reason why. Brown, Governor of California v. Entertainment Merchants Association, 564 U.S. 786, 131 S.Ct. 2729, 2011 U.S. Lexis 4802 (Supreme Court of the United States, 2011)

Answers

First Amendment rights should extend to violent video games as they are covered under the Free Speech Clause of the First Amendment to the U.S. Constitution.

The California statute that prohibits the sale or rental of "violent video games" to minors, which covers games in which the range of options available to a player includes killing, maiming, dismembering, or sexually assaulting an image of a human being, was challenged by the video game and software industries, alleging that the state law violated their constitutional free speech rights.

The Supreme Court of the United States held that the California act violated the Free Speech Clause of the First Amendment to the U.S. Constitution. The court also stated that the state had singled out the purveyors of video games for disfavored treatment, at least when compared to booksellers, cartoonists, and movie producers - and has given no persuasive reason why. Therefore, 1st Amendment rights should extend to violent video games as they are a form of expression, just like books, cartoons, and movies.

The Supreme Court’s decision in the Packingham case USA regarding the 1st amendment aligns with this argument. In Packingham v. North Carolina, the court struck down a North Carolina law prohibiting registered sex offenders from accessing social media sites, stating that social media is a crucial platform for the exchange of ideas and protected by the First Amendment.

In conclusion, 1st Amendment rights should extend to violent video games as they are covered under the Free Speech Clause of the First Amendment to the U.S. Constitution. Video games are a form of expression just like books, cartoons, and movies. The court’s decision in the Packingham case USA regarding the 1st amendment aligns with this argument.

Learn more about First Amendment rights from the given link:

https://brainly.com/question/9194486

#SPJ11

Other Questions
The molar concentration of a solution of 17.70 g CaCl2 (MW = 110.98 g/mol) in 75 mL is:I)2.13MII)3.67MIII)4.7MIV)7.67M What aspects of Persian worship does Herodotus find strange and different from that of the Greeks?What other cultural practices of the Persians did Herodotus find interesting, and different from that of the Greeks? (Discuss TWO).Based on the reading, what does Herodotus reveal about Greek cultural practices? (Discuss ONE aspect of Greek culture).In your opinion, what did Herodotus admire about Persian civilization? A 5.2 kg moving object's velocity is required to be changed from 9.6 m/s to 2.6 m/s over a distance of 7.3 m. Calculate the amount of force needed. Answer: ___N 2-Find Ix and Iy for this T-Section. Please note that y-axis passes through centroid of the section. (h =15 in, b= see above, t=2 in): s By determining f'(x) = lim h-0 f(x)=2x f(x+h)-f(x) h f'(8)=(Simplify your answer.) , find f'(8) for the given function. *** Refer to page 8 of your text book and review the story on the Hawthorne effect. Describe a time where you have noticed this happen to you. Explain how you would avoid the Hawthorne effect as a researhcer. Reply to at least two of your classmates. Design Octal-to-Binary Encoder using OR Gates. Use the general factoring strategy to completely factor the following polynomial. It the polynomial does not factor, then state that itis nonfactorable over the integers. 2vw. 2v4 614. 6Select one:O a. 2(v+ 3Xw + 1) b. (2v- 3)w - 1) c. 2(w- 3Xv + 1) d. Nonfactorable over the integers. e. (2v+ 3Xw - 1) Determine the size of PROM required for implementing 1-of-8 decoder logiccircuits. Researchers have found that the United Kingdom has a drinking problem. Looking at data from1980 through 2007 they found consumption of alcohol per person rose 19% compared to a drop of13% in similar countries. Out of concern for high levels of drinking among the younger populationThe government raised the tax on beer by 42%. Under what conditions will the tax significantlyreduce the quantity of beer consumed. Use the concepts of elasticity of demand and supply inorganizing your answer. Find the node phasor voltages in the circuit below. 8/40 A V m 12 S 12/-10 A 8 S #F j10 S: V -j14 S In a lexical decision task, a researcher finds no effect of priming. Which of the following statements is a plausible explanation for this? O When the priming words were first presented, participants (1) As for the odd parity, the check bit of the binary number (1101)2 is _________(2) The 8421 BCD code of the decimal number (9)10 is _______(3) Given the logic function F=W.X., the dual function is FD = ____________(4) Given the logic function F(A,B,C) = ABC + ABC, the sum of minterms is F = sigma M (5) The two's complement of the binary (+1011)2 is ________ There are 6 white kittens, 1 orange kitten, and 1 striped kitten at the pet shop. If you were to pick one kitten without looking, what is the probability that it would be white? Select one: a. 1/6 b. Not Here c. 3/4 d. 1/4 e. 1/8 What is the percent of each halogen in a 0.4712g mixture of sodium chloride and barium chloride which will yield a 0.9274g dried silver chloride. The MW for sodium chloride, barium chloride and silver chloride are 58.45g/mol, 208.25g/mol and 143.33 g/mol respectively. You have decided to start a corporation. What actions are necessary for forming the new business?You have decided to start a sole proprietorship. What actions are necessary for forming the new business?Why do many would-be business owners like the idea of buying a franchise?You have decided to start a partnership. What actions are necessary for forming the new business? Compare the half-wave rectifier circuit and the center tapped rectifier circuit in terms of input, components and output. Ans: demonstrate knowledge and understanding of environmental management ,resources management,project management on combustion and the impacts of the products on the environment and the disposal of wastes regard steam or gas turbines . Choose the correct conjunction in each sentence:I fell asleep, _____ the kids terrorized the house? A) and B) meanwhile C) also D) moreoverWe always watch our team ____ our team never wins. A) and B) although C) or D) for California enacted the Wine Fair Dealing Act, which requires out-of-state suppliers of wine to show good cause if they wish to terminate a distributorship. In-state suppliers of wine are exempt from this requirement and can cancel at will. A New York wine supplier wants to end its relationship with a California firm. The California firm, invoking the operative provision of the Wine Fair Dealing Act, objects because the New York firm has not demonstrated good cause for the termination. The New York supplier argues that this provision of California law violates the commerce clause of the United States Constitution. Is the commerce clause violated? Why?