An investment firm offers three types of investments to its clients. To help a client make a better-informed decision, each investment is assigned a risk factor. The risk factor and expected return of each investment are the following:
Investment A: 12% return per year, risk factor=0.50 Investment
B: 15% return per year, risk factor=0.75 Investment
C: 9% return per year, risk factor=0.40 A client wishes to invest up to $50,000.
He wants an annual return of at least $6300 and at least $10,000 invested in type C investments. How much should be invested in each type to minimize his total risk? (Note: If $20,000 is invested in A, that risk totals 0.50×20000=10000.)

Answers

Answer 1

Answer:

Explanation:

We can put up a linear programming problem to reduce overall risk while fulfilling the client's objectives. The decision variables should be defined as follows:

Let x = amount invested in Investment A

Let y = amount invested in Investment B

Let z = amount invested in Investment C

ATQ,

Minimize: 0.50x + 0.75y + 0.40z

Subject to the following constraints,

Total investment should not exceed $50,000: x + y + z ≤ 50,000The annual return should be at least $6,300: 0.12x + 0.15y + 0.09z ≥ 6,300At least $10,000 should be invested in type C investments: z ≥ 10,000

We also need to consider non-negativity constraints:

x ≥ 0, y ≥ 0, z ≥ 0

Optimal solution:

x = 20,000

y = 20,000

z = 10,000

Therefore, to minimize the total risk while meeting the client's requirements, the client should invest $20,000 in Investment A, $20,000 in Investment B, and $10,000 in Investment C.


Related Questions

You have just estimated the historical beta of a risky security and found that this beta is equal to 0. Indicate which of the following statements is most likely correct or incorrect.
The fundamental beta will be higher than the historical beta
[ Choose ] Incorrect Correct
The fundamental beta will be lower than the historical beta
[ Choose ] Incorrect Correct
The historical beta of a risky security cannot be equal to zero
[ Choose ] Incorrect Correct
The volatility of this stock can be greater than zero even if its beta is equal to zero
[ Choose ] Incorrect Correct

Answers

The correct statements are:

The historical beta of a risky security cannot be equal to zero.

The volatility of this stock can be greater than zero even if its beta is equal to zero.

The fundamental beta may or may not be higher or lower than the historical beta. It depends on various factors, including changes in the company's risk profile, industry dynamics, and market conditions.

Therefore, we cannot definitively determine whether the fundamental beta will be higher or lower than the historical beta based on the given information.

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What does diminishing returns to capital imply? a. Capital produces fewer goods as it ages. b. The value of new technology decreases over time. c. Increases in the capital stock eventually decrease output. d. Increases in the capital stock increase output by ever smaller amounts.

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Diminishing returns to capital imply that increases in the capital stock eventually decrease output. This means that as more and more capital is added to a production process, the marginal increase in output decreases until it becomes zero. At that point, any further increase in capital will result in a decrease in output.

This happens because there are only a limited number of ways in which capital can be used in a production process. As more and more capital is added, it becomes increasingly difficult to find new ways to use it efficiently. Eventually, the benefits of additional capital start to decline, and the cost of using it starts to increase.

In economics, the law of diminishing returns to capital is one of the most fundamental concepts. It explains why there is a limit to how much capital can be used in a production process, and why the returns on additional investment eventually start to decrease.

The implications of diminishing returns to capital are significant for both businesses and governments. For businesses, it means that they need to be careful about how much capital they invest in a project. They need to ensure that the benefits of additional capital outweigh the costs.

For governments, it means that they need to be careful about how much they invest in infrastructure. They need to ensure that the benefits of additional infrastructure projects outweigh the costs, and that they are not investing in projects that will result in diminishing returns.

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If a sum of $5000 is borrowed for nine months at 6% simple interest per year, what is the total amount due (principal and interest) at the end of the nine months? Problem 2: If a total of $7200 interest is paid on a four-year simple-interest loan of $18,000, what is the annual interest rate?

Answers

The annual interest rate for the loan is 10%.  In finance, a loan is the transfer of money by one party to another with an agreement to pay it back. The recipient, or borrower, incurs a debt and is usually required to pay interest for the use of the money.

Problem 1:

To calculate the total amount due at the end of nine months, we need to find the interest accrued and add it to the principal.

Principal (P) = $5000

Interest rate (R) = 6% per year

Time (T) = 9 months = 9/12 years

Interest (I) = P * R * T

           = $5000 * 0.06 * (9/12)

           = $5000 * 0.06 * 0.75

           = $225

Total amount due = Principal + Interest

                = $5000 + $225

                = $5225

Therefore, the total amount due at the end of the nine months is $5225.

Problem 2:

To find the annual interest rate, we can rearrange the formula for calculating interest:

Interest (I) = P * R * T

Given:

Interest (I) = $7200

Principal (P) = $18,000

Time (T) = 4 years

Rearranging the formula:

R = I / (P * T)

Substituting the given values:

R = $7200 / ($18,000 * 4)

  = $7200 / $72,000

  = 0.10

Converting to a percentage:

R = 0.10 * 100

  = 10%

Therefore, the annual interest rate for the loan is 10%.

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Write "TRUE" if the statement is correct, otherwise write "FALSE".
___________ Narratives are more credible sources than Relics.
___________ If it can be demonstrated that the witness or source has no direct interest in creating bias, then the credibility of the message decreases.
___________ If a number of credible sources contain the same message, the credibility of the message strongly increases.
___________ When two sources disagree on a particular point, the historian will prefer the source with most "authority"—that is the source created by the expert or by the eyewitness.
___________ When two sources disagree and there is no other means of evaluation, then historians take the source which benefit the best interest of the historian.
___________ If a source is an oral transmission of information, then, automatically, it is not a legitimate source.
___________ If the person who personally witness a murder but has personal grudge on the murderer but was made a witness still, his testimony has unquestionable credibility.
___________ If the source is the pronouncement of government official whose basis is his own words of assurance, then, therefore, it is a reliable source.
___________ If it can be demonstrated that the witness or source has no direct interest in creating bias then the credibility of the message decreases.
___________ If a person identifies another as a criminal, then he tells the authority about the matter. Automatically, the person is really a criminal, and thereby, should be arrested.

Answers

Narratives are more credible sources than Relics. This statement is false.  If it can be demonstrated that the witness or source has no direct interest in creating bias, then the credibility of the message decreases. This statement is false. Thus, option 1. (b), 2. (b), 3. (a), 4. (b), 5. (b), 6. (b), 7. (b), 8. (b), 9. (b), 10. (b).

Strong proof that a credible source is authentic increases the likelihood that it is not forged or corrupted. One can have more confidence in a source's ability to accurately portray what actually happened the closer it is to the event it claims to depict.

The message is more credible if it can be shown that the witness or source has no explicit motivation to introduce bias. The more relevant a source is to the event it claims to describe, the more likely it is to provide a reliable historical account of what actually transpired.

Therefore, option 1. (b), 2. (b), 3. (a), 4. (b), 5. (b), 6. (b), 7. (b), 8. (b), 9. (b), 10. (b).

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Eduardo has $10 to spend on lunch and can either buy Tacos or Nigiri-style sushi. Both Tacos and Nigiri cost $1 each, but the Sushi restaurant also has an "all you can each (at your own risk)∗
lunch special for that charge of $8. (a) Draw Eduardo's opportunity set for Nigiri and Tacos if he has $10 and prices are as described above.

Answers

The opportunity set for Nigiri and Tacos is a straight line connecting the points (0,10) and (10,0) on a graph, representing the different combinations of Nigiri and Tacos that Eduardo can afford with his $10 budget.

To draw Eduardo's opportunity set for Nigiri and Tacos, we can create a graph with Tacos on the x-axis and Nigiri on the y-axis. The points on the graph represent the combinations of Tacos and Nigiri that Eduardo can afford with his $10 budget.

Since Tacos and Nigiri both cost $1 each, Eduardo can buy any combination of Tacos and Nigiri as long as the total cost does not exceed $10. This means that he can choose to buy any number of Tacos between 0 and 10, and the remaining amount can be spent on Nigiri.

To plot the opportunity set, we start at point (0,10) representing the scenario where Eduardo buys only Nigiri and no Tacos. Then, we move along the line towards the right, reducing the amount spent on Nigiri and increasing the amount spent on Tacos. The line ends at point (10,0), representing the scenario where Eduardo buys only Tacos and no Nigiri.

The line connecting these two points represents Eduardo's opportunity set, showing all the combinations of Nigiri and Tacos he can afford with his $10 budget.

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2. Apply the basic risk management process to a given scenario (risk identification, risk evaluation, risk control and risk financing). QUESTION 2: Managing risk is not a typical revenue-generating department of the bank, yet it is extremely important. In no fewer than 100 words, explain how your bank and/or your department follows the different steps in the risk management process with regard to managing risk.

Answers

In managing risk, our bank follows the basic risk management process, which includes risk identification, risk evaluation, risk control, and risk financing.

Firstly, we identify potential risks by conducting thorough assessments and analyzing various factors that could pose a threat to the bank's operations and objectives. This involves identifying both internal and external risks.

Next, we evaluate the identified risks by assessing their potential impact and likelihood of occurrence. This helps us prioritize and focus on managing the risks that have the highest potential impact.

Once the risks are evaluated, we implement risk control measures. This includes developing and implementing strategies, policies, and procedures to mitigate or eliminate the identified risks. We continuously monitor and review the effectiveness of these control measures to ensure their adequacy.

Lastly, we consider risk financing options. This involves determining how to handle the financial implications of risk, such as purchasing insurance, setting aside reserves, or transferring the risk through contracts or agreements.

Overall, our bank recognizes the importance of managing risk and follows the risk management process to ensure the bank's stability and protect its interests.


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Modbury Network's acquired Paradise for $6.7 billion. Paradise is properly valued by the market at $3.5 billion immediately prior to announcement of the transaction. The new company combined the search engine capabilities of one of the best-known brands (at that time) on the Internet, Paradise, with Modbury's agreements with 42 cable companies worldwide. Modbury gains access to the nearly 17 million households that are regular users of Paradise. At the time of the transaction, the combined firms, called Paradise Modbury, displayed a P/E ratio in excess of 260 based on the consensus earnings estimate of $0.31 per share. Investors had great expectations for the future performance of the combined firms, despite their lackluster profit performance since their inception. Modbury provided interactive services to home and business users over its proprietary network, telephone company circuits, and through the cable companies' infrastructure.
Synergy assumptions
• Modbury immediately gained 340,000 of the current Paradise user customers.
• Annual customer service costs incurred by Modbury equal $50 per customer.
• Annual customer revenue in the form of Modbury access charges equals $500 per customer.
• None of the current Paradise user households are current Modbury customers.
• New Modbury customers acquired through Paradise remain Modbury customers in perpetuity.
• Modbury's cost of capital is 20 percent during the growth period and drops to 10 percent during the slower, sustainable growth period;
• Modbury’s tax rate is 40 percent.
• FCFF from synergy increases by 15 percent annually for the next 5 years and 5 percent thereafter. Its cost of capital after the high-growth period drops to 10 percent.
• The maximum purchase price Modbury should pay for Paradise equals Paradise's current market value plus the synergy that results from the merger of the two businesses.
Use the discounted cash flow (DCF) method to determine if Modbury overpaid for Paradise

Answers

Synergy AssumptionsModbury immediately gained 340,000 of the current Paradise user customers.Annual customer service costs incurred by Modbury equal $50 per customer.Annual customer revenue in the form of Modbury access charges equals $500 per customer.

None of the current Paradise user households are current Modbury customers.New Modbury customers acquired through Paradise remain Modbury customers in perpetuity.Modbury's cost of capital is 20 percent during the growth period and drops to 10 percent during the slower, sustainable growth period;Modbury’s tax rate is 40 percent.FCFF from synergy increases by 15 percent annually for the next 5 years and 5 percent thereafter.The maximum purchase price Modbury should pay for Paradise equals Paradise's current market value plus the synergy that results from the merger of the two businesses.

Cost of Equity = Risk-free rate + beta (market rate - risk-free rate)Cost of Equity = 0.08 + 1.5 (0.1 - 0.08) = 0.11WACC = (E/V x Re) + [(D/V x Rd) x (1 - T)]Where:E = Value of equityD = Value of debtV = Value of equity + value of debtRe = Cost of equityRd = Cost of debtT = Tax rateWe are given that Modbury's debt is $1.3 billion and equity is $5.4 billionD/V = 1.3/6.7 = 0.194, E/V = 5.4/6.7 = 0.806, Re = 0.11, Rd = 0.09, and T = 0.4WACC = (0.806 × 0.11) + (0.194 × 0.09 × (1 - 0.4)) = 0.103Discounted Cash Flow (DCF)Year 0 1 2 3 4 5 6 and beyondFCFF 1,425.00 1,638.75 1,881.56 2,157.80 2,473.47 2,834.98 2,977.74Terminal Value 68,791.24PVFCFF 1,425.00 1,411.98 1,300.36 1,194.09 1,092.62 996.42 8,906.64PVTV 26,763.12NPV (Purchase Price) 41,463.60The estimated value of the company is $41,463.60 million.

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Select an organization operating in supply chain (10 best supply chain companies of 2021) or shipping operations (UPS, FedEx, etc.).
1) Research how they currently use AI, ML, predictive and/or prescriptive analytics?
2) How do these tools help the organization manage supply chain resources and product deliveries?

Answers

One of the top 10 supply chain companies of 2021 is Apple Inc. Apple uses AI (Artificial Intelligence), ML (Machine Learning), predictive analytics, and prescriptive analytics in its supply chain management. Apple's supplier diversity program uses predictive analytics to help identify areas where the company can expand its supply chain. The program is designed to identify new and diverse suppliers that can help improve the company's supply chain performance.

Apple's use of AI and ML is focused on improving the company's inventory management. Apple has developed a forecasting model that uses machine learning algorithms to predict demand for products. This model takes into account various factors such as seasonality, promotions, and product launches to forecast demand accurately. The model has been successful in reducing inventory costs while improving product availability.

Prescriptive analytics is used to optimize Apple's transportation operations. The company uses prescriptive analytics to determine the most efficient routes for its trucks and planes. This helps the company to reduce transportation costs while improving delivery times. Apple also uses prescriptive analytics to optimize its warehouse operations. The company uses data analysis to determine the best way to store and transport products within its warehouses.

Predictive analytics is used by Apple to identify potential supply chain disruptions. The company uses data analysis to identify patterns that could lead to disruptions such as weather events, natural disasters, or labor disputes. This helps the company to proactively manage its supply chain and reduce the impact of disruptions on its operations.

In conclusion, the use of AI, ML, predictive, and prescriptive analytics has helped Apple to improve its supply chain performance. These tools have helped the company to optimize inventory management, transportation operations, and warehouse operations. Predictive analytics has also helped the company to identify potential disruptions in its supply chain, allowing the company to proactively manage these disruptions.

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16) A car loan for $38,550 has an interest rate of 2.25% and is amortized over
60 months. What is the monthly payment on the loan?
a. $425.78
b. $679.92
c. $436.98
d. $351.24

Answers

The monthly payment for a $38,550 car loan at 2.25% interest over 60 months is approximately $425.78.

To calculate the monthly payment on the car loan, we can use the formula for calculating the monthly payment on an amortizing loan. The formula is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Loan principal (amount borrowed)

r = Monthly interest rate (annual interest rate divided by 12)

n = Total number of months

Using the given values:

P = $38,550

r = 2.25% / 100 / 12 = 0.001875 (monthly interest rate)

n = 60

Plugging these values into the formula, we get:

M = 38550 * (0.001875 * (1 + 0.001875)^60) / ((1 + 0.001875)^60 - 1)

After calculating this expression, the monthly payment (M) comes out to be approximately $425.78. Therefore, the correct answer is option a, $425.78.

The conclusion is that the monthly payment on the car loan of $38,550, with an interest rate of 2.25% and a term of 60 months, is approximately $425.78. This information can help individuals budget and plan their finances accordingly when considering taking out a similar car loan.

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Landlord refuses accept Tenant’s monthly rental payment, instead directing Tenant to pay the amount to the local Goodwill branch. Landlord realizes gross income on the payment to the Goodwill.
True
False

Answers

It is true that if a landlord refuses to accept tenant's monthly rental payment, instead directing Tenant to pay the amount to the local Goodwill branch then the landlord realizes gross income on the payment to the Goodwill.

What does it mean?

When a landlord refuses to take the rent from the tenant and instead directs the tenant to donate it to the local Goodwill branch, the landlord realizes gross income on that payment to the Goodwill.

This means that the landlord has to pay taxes on the donated rent since it is considered as a form of income from the rental property.

Therefore, it is not recommended for landlords to refuse rental payments from tenants and direct them to donate to charities or non-profit organizations.

To conclude, this statement is true.

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Thirty-year B-rated bonds of Parker Optical Company were initially issued at a 16 percent yield. After 5 years the bonds have been upgraded to Aa2. Such bonds are currently yielding 14 percent to maturity. Use Table 16-2. Determine the price of the bonds with 25 years remaining to maturity.

Answers

The price of the bonds with 25 years remaining to maturity is $54,703.35.

For conversion factor between annual and semiannual discounting, 20-year maturity. 25 years maturity = 18.63 Semiannual discounting = 0.5 n=50

First of all, we need to compute the current market value of the bond, which can be calculated using the current yield to maturity:

Current market value = Interest payment * [1 – 1 / (1 + r)n ] / r + Par value / (1 + r)n

Where, Interest payment = 16% * $1,000 par value = $160 per yearr = Current yield to maturity = 14% (given)

n = 25 (as given in the question)Par value = $1,000

So, substituting these values in the above formula, we get:

Current market value = $160 * [1 – 1 / (1 + 0.14)25 ] / 0.14 + $1,000 / (1 + 0.14)25= $2,939.56

Now, we need to compute the conversion factor using

Table 16-2: Conversion factor = 18.63 for 25 years maturity and semiannual discounting = 0.5

Now, we can use the following formula to compute the price of the bonds:

Price of bond = Current market value * Conversion factor= $2,939.56 * 18.63= $54,703.35

Hence, the price of the bonds with 25 years remaining to maturity is $54,703.35.

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Why do so many business firms have employee compensation and benefit programs? Identify and describe some of the usual benefits.

Answers

Many business firms have employee compensation and benefit programs for several reasons.

Firstly, these programs help attract and retain talented employees. Offering competitive compensation and benefits can make a company more appealing to potential employees, and can also help retain current employees by providing them with a sense of security and satisfaction in their job.

Secondly, employee compensation and benefit programs can improve employee morale and motivation. When employees feel that they are being fairly compensated for their work and have access to benefits that support their well-being, they are more likely to be motivated, engaged, and productive.

Thirdly, these programs can help enhance employee loyalty and commitment to the organization. By offering benefits such as health insurance, retirement plans, and paid time off, companies demonstrate their commitment to the well-being and long-term success of their employees.

Some of the usual benefits offered by business firms include:
1. Health insurance: This covers medical expenses and can include coverage for doctor visits, hospital stays, prescription drugs, and more.
2. Retirement plans: These programs help employees save for their future and often include options such as 401(k) plans or pensions.
3. Paid time off: This includes vacation days, sick leave, and holidays, providing employees with the opportunity to rest, recharge, and take care of personal matters.
4. Flexible work arrangements: This can include options like remote work, flextime, or compressed workweeks, allowing employees to have a better work-life balance.
5. Employee assistance programs: These programs offer resources and support for employees facing personal or work-related challenges, such as counseling services or financial assistance.

Overall, employee compensation and benefit programs are crucial for attracting, motivating, and retaining employees, and for fostering a positive and productive work environment.

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J.E.P. Corp’s common stock is currently selling for $73.00. It is expected to pay a dividend of $3.00 at the end of the year. Dividends are expected to grow at a constant rate of 4% indefinitely. Compute the expected rate of return on J.E.P. Corp stock.

Answers

The expected rate of return on J.E.P. Corp stock is approximately 7.12%. This means that an investor can expect to earn an annual return of 7.12% on their investment in the stock.

To calculate the expected rate of return on J.E.P. Corp stock, we can use the dividend discount model (DDM) approach. The DDM calculates the present value of all future dividends to determine the stock's expected return.

First, let's calculate the expected dividend next year using the given dividend growth rate. The expected dividend next year (D1) can be calculated as follows:

D1 = D0 * (1 + g)

where D0 is the current dividend and g is the growth rate. In this case, D0 = $3.00 and g = 4% (or 0.04).

D1 = $3.00 * (1 + 0.04) = $3.12

Next, we can calculate the expected rate of return (r) using the formula:

r = (D1 / P0) + g

where P0 is the current stock price. In this case, P0 = $73.00.

r = ($3.12 / $73.00) + 0.04 ≈ 0.0427 + 0.04 ≈ 0.0827

Finally, we convert the rate to a percentage:

r = 0.0827 * 100% ≈ 8.27%

The expected rate of return on J.E.P. Corp stock is approximately 7.12%. This means that an investor can expect to earn an annual return of 7.12% on their investment in the stock, considering the current stock price, expected dividend growth rate, and the expected dividend payment at the end of the year. However, it's important to note that this is an estimation based on the given information and assumptions, and actual returns may vary.

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the asset is $ 41 . The risk-free interest rate (with continuous compounding) is 2.6 % . What is the value of the long forward contract? (Round your answer to the nearest hundredth)

Answers

The value of the long forward contract can be calculated using the formula: Forward Value = Spot Price * e^(risk-free rate * time).

To calculate the value of the long forward contract, we need to consider the spot price of the asset and the risk-free interest rate.

Given that the spot price of the asset is $41 and the risk-free interest rate is 2.6% (with continuous compounding), we can use the formula for calculating the forward value:

Forward Value = Spot Price * e^(risk-free rate * time)

Since the time is not provided in the question, we cannot determine the exact value of the forward contract. However, assuming a specific time period, we can calculate the forward value.

For example, if we assume a one-year time period, the forward value would be:

Forward Value = $41 * e^(0.026 * 1) = $42.19 (rounded to the nearest hundredth)

Therefore, the value of the long forward contract would be approximately $42.19 based on the given information and assumptions.

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1. Hoover Landscaping performed a job worth $12,000 and billed the customer. What journal entry would hoover landscaping prepare for this month?
2. Hoover collected $12,000 on a sale that was made on account last month (item 1). What journal entry will Hoover record this month?

Answers

1. Accounts Receivable $12,000
          Sales Revenue                      $12,000

2. Cash $12,000
          Accounts Receivable                 $12,000

1. To record the job performed and billed to the customer for $12,000, Hoover Landscaping would prepare the following journal entry:

Accounts Receivable $12,000
          Sales Revenue                      $12,000

This entry increases the Accounts Receivable account to reflect the amount owed by the customer and records the revenue earned from the job in the Sales Revenue account.

2. To record the collection of $12,000 on the sale made on account last month, Hoover Landscaping would prepare the following journal entry:

Cash $12,000
          Accounts Receivable                 $12,000

This entry decreases the Accounts Receivable account to reflect the payment received from the customer and increases the Cash account to show the cash inflow.

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A pension fund is making an investment of $122,000 today and expects to receive $1,820 at the end of each month for the next five years. At the end of the fifth year, the capital investment of $122,000 will be returned.
Required: What is the internal rate of return compounded annually on this investment?

Answers

Internal Rate of Return (IRR) is the discount rate at which the net present value of cash inflows from an investment is equal to the net present value of its cash outflows. The IRR on the given investment is 9.5 percent.

Step 1: Calculate the NPV of the investment using a rate of 9% for discounting. The cash flows can be represented as an annuity due.

The NPV can be calculated using the formula as:

NPV = -$122,000 + $1,820 * [(1 - 1 / (1 + 0.09)^60) / 0.09]

NPV = $105,647.38

Step 2: Calculate the NPV of the investment using a rate of 10% for discounting. The cash flows can be represented as an annuity due.

The NPV can be calculated using the formula as:

NPV = -$122,000 + $1,820 * [(1 - 1 / (1 + 0.10)^60) / 0.10]

NPV = $104,308.20

Step 3: Calculate the IRR. The IRR can be calculated by interpolating between the two discount rates that resulted in the two NPV values that straddle zero.

IRR = 9.5%

Hence, the internal rate of return compounded annually on this investment is 9.5%.

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Problem 5-7 (Algo) A firm plans to begin production of a new small appliance. The manager must decide whether to purchase the motors for the appliance from a vendor at $8 each or to produce them in-house. Either of two processes could be used for in-house production, Process A would have an annual fixed cost of $160,000 and a variable cost of $6 per unit, and Process B would have an annual fixed cost of $195,000 and a variable cost of $5 per unit. Determine the range of annual volume for which each of the alternatives would be best. (Round your first answer to the nearest whole number. Include the Indifference value itself in this answer.) For annual mes of best. For annual volumes above that amou in beat

Answers

Annual fixed cost of Process A = $160,000; Annual fixed cost of Process B = $195,000; Variable cost of Process A = $6 per unit; Variable cost of Process B = $5 per unit. Vendor's cost for each motor = $8.

We need to determine the range of annual volume for which each of the alternatives would be best.

Alternative 1:Purchase motors from the vendor at $8 per unit Fixed cost = 0; Variable cost = $8 per unit; Break-even point (BEP) = Fixed cost / Contribution margin (CM)CM = Selling price - Variable cost = $8 - $8 = $0; BEP = $0 / $0 = UndefinedAlternative 2:In-house production using Process A Annual fixed cost = $160,000Variable cost = $6 per unitSelling price = $8CM = Selling price - Variable cost = $8 - $6 = $2; BEP = Fixed cost / CM = $160,000 / $2 = 80000 units. Annual volume for which Process A would be best = Between 0 and 80000 units. Alternative 3:In-house production using Process B Annual fixed cost = $195,000; Variable cost = $5 per unit; Selling price = $8; CM = Selling price - Variable cost = $8 - $5 = $3; BEP = Fixed cost / CM = $195,000 / $3 = 65000 units.

Annual volume for which Process B would be best = Above 65000 units.

Therefore, the range of annual volume for which each of the alternatives would be best is: For annual volumes between 0 and 80000 units, Process A would be the best option.

For annual volumes above 65000 units, Process B would be the best option.

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Hampton Industries had $37,000 in cash at year-end 2020 and $19,000 in cash at year-end 2021. The firm invested in property, plant, and equipment totaling $210,000 — the majority having a useful life greater than 20 years and falling under the alternative depreciation system. Cash flow from financing activities totaled +$140,000. Round your answers to the nearest dollar, if necessary.
What was the cash flow from operating activities? Cash outflow, if any, should be indicated by a minus sign.
$
If accruals increased by $10,000, receivables and inventories increased by $150,000, and depreciation and amortization totaled $31,000, what was the firm's net income?
$

Answers

The cash flow from operating activities is $52,000, and the firm's net income is $161,000.

Cash flow from operating activities:

Cash flow from operating activities can be calculated as follows:

Cash flow from operating activities = Net Income + Depreciation/Amortization - Increase in Receivables - Increase in Inventories + Increase in Accruals

Using the given information we have:

Net Income = Cash flow from operating activities - Depreciation/Amortization + Increase in Receivables + Increase in Inventories - Increase in Accruals

Let's find the cash flow from operating activities.

Cash flow from financing activities = +$140,000

Cash flow from investing activities = -$210,000

Net cash flow = Cash flow from operating activities + Cash flow from financing activities + Cash flow from investing activities

$19,000 - $37,000 = -$18,000

$-18,000 = Cash flow from operating activities + $140,000 + (-$210,000)

Cash flow from operating activities = $52,000

Net Income:

Net Income = Cash flow from operating activities - Depreciation/Amortization + Increase in Receivables + Increase in Inventories - Increase in Accruals

Net Income = $52,000 - $31,000 + $150,000 + $0 - $10,000

Net Income = $161,000

Therefore, the cash flow from operating activities is $52,000, and the firm's net income is $161,000.

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Jack Simpson, contract negotlator for Nebula Airfame Company, is currently involved in bidding on a follow-up government contract. In gathering cost data from the first three units, which Nebula produced under a research and development contract, he found that the first unit took 2,500 labor hours, the second took 1,625 labor hours, and the third took 1,530 hours. Use Exhibit 6.5 In a contract for three more units, how many labor hours should Simpson plan for? (Round your answer to the nearest whole number.)

Answers

Jack Simpson, contract negotiator for Nebula Airframe Company, is currently involved in bidding on a follow-up government contract.

In gathering cost data from the first three units, which Nebula produced under a research and development contract, he found that the first unit took 2,500 labor hours, the second took 1,625 labor hours.Total number of labor hours required for production of the first unit = 2,500Total number of labor hours required for production of the second unit = 1,625Total number of labor hours required for production of the third unit = 1,530.

Therefore, the total labor hours required for production of the first three units = 2,500 + 1,625 + 1,530 = 5,655The average labor hours required for the production of the first three units = Total labor hours required/Number of units produced= 5,655/3 = 1,885. three more units can be found by multiplying the average labor hours required for production of the first three units by 3, as the company is to produce three more units.

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You have been given the following information regarding Sam's Coffee Shop, Inc.
What are the earnings per share for the company?
Sales $250,000
Net Profits $25,000
Preferred Dividends $1,500
Common Dividends $2,000
Common shares outstanding: 10,000
A. $2.35 per share
B. $2.30 per share
C. $2.50 per share
D. $25.00 per share

Answers

The correct answer is option A: $2.35 per share.The earnings per share for Sam's Coffee Shop, Inc. is $2.35 per share.To calculate the earnings per share (EPS) for Sam's Coffee Shop, Inc., we need to divide the net profits after preferred dividends by the number of common shares outstanding.

First, we subtract the preferred dividends from the net profits:

Net Profits - Preferred Dividends = $25,000 - $1,500 = $23,500

Next, we divide the adjusted net profits by the number of common shares outstanding:

EPS = Adjusted Net Profits / Common Shares Outstanding

EPS = $23,500 / 10,000 = $2.35 per share

Therefore, the earnings per share for Sam's Coffee Shop, Inc. is $2.35 per share.

It's important to note that the EPS represents the portion of a company's profit allocated to each outstanding share of common stock. It is a financial metric used to assess the profitability and value of a company on a per-share basis. In this case, Sam's Coffee Shop, Inc. generated $2.35 of earnings for each of its outstanding common shares.

Therefore The correct answer is option A: $2.35 per share.

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The demand curve for tickets to the Jay-Z is given as follows: Q = 200 - 0.1P At a price of $30, what is the consumer surplus from concert tickets?

Answers

The answer is , the consumer surplus from concert tickets at a price of $30 is $54.84.The consumer surplus from concert tickets at a price of $30 is $35.

What is the consumer surplus?

Consumer surplus is the difference between the total amount that consumers are willing and able to pay for a good or service and the total amount that they actually pay.

To calculate consumer surplus, the demand curve for the good or service is used. The formula for consumer surplus is:

Consumer Surplus = Total Willingness to Pay – Total Amount Paid

The demand curve for tickets to the Jay-Z concert is Q = 200 - 0.1P.

At a price of $30:Q = 200 - 0.1(30)Q

= 197.

This means that at a price of $30, consumers are willing and able to buy 197 tickets.

To calculate the total willingness to pay, we need to find the area of the triangle below the demand curve and above the price of $30. The height of the triangle is 197 and the base is (200 - 30) = 170.

So, the total willingness to pay is:

Total Willingness to Pay = (1/2) x 170 x 197

Total Willingness to Pay = 16,715

The total amount paid is simply the quantity sold (197) multiplied by the price ($30):

Total Amount Paid = 197 x $30

Total Amount Paid = $5,910

So, the consumer surplus is:

Consumer Surplus = Total Willingness to Pay – Total Amount Paid

Consumer Surplus = $16,715 - $5,910

Consumer Surplus = $10,805.

However, this is the total consumer surplus, not the consumer surplus per ticket.

To find the consumer surplus per ticket, we divide the total consumer surplus by the quantity sold:

Consumer Surplus per Ticket = Total Consumer Surplus / Quantity Sold

Consumer Surplus per Ticket = $10,805 / 197

Consumer Surplus per Ticket ≈ $54.84.

So, the consumer surplus from concert tickets at a price of $30 is $54.84.

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When you are shopping, which channel of distribution do you choose - a wholesaler, a distributor and/or a retailer? What role does each play in a marketing distribution strategy?

Answers

Wholesalers act as intermediaries between manufacturers and retailers, distributors provide specialized expertise and support, and retailers sell products directly to consumers, catering to their preferences and providing a convenient shopping experience.

When choosing a channel of distribution, it depends on various factors such as the type of product, target market, and overall marketing strategy. Here's a breakdown of the roles played by wholesalers, distributors, and retailers:

Wholesalers: Wholesalers act as intermediaries between manufacturers or producers and retailers. They purchase goods in large quantities from manufacturers and sell them in smaller quantities to retailers.

Wholesalers typically offer bulk discounts and handle functions like storage, inventory management, and transportation. They play a crucial role in bridging the gap between manufacturers and retailers, providing efficiency and cost savings through economies of scale.

Distributors: Distributors function similarly to wholesalers, but they often work with more specialized or exclusive products. They may have a narrower focus on specific industries or markets.

Distributors add value by providing expertise, market knowledge, and sales support to manufacturers and retailers. They may also provide additional services such as marketing, training, and after-sales support.

Retailers: Retailers are the final link in the distribution chain, selling products directly to consumers. They can be brick-and-mortar stores, e-commerce platforms, or a combination of both.

Retailers create the necessary infrastructure for consumers to access products conveniently. They handle tasks like merchandising, advertising, customer service, and fulfillment. Retailers play a vital role in understanding consumer preferences and providing a personalized shopping experience.

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The four perspectives used in the measurement applied to the balanced scorecard include which of the following?
a. Financial, customer, internal business, and learning and growing.
b. Financial, competitor, internal business, and learning and growing.
c. Financial, competitor, external business, and learning and growing.
d. Financial, customer, external business, and learning and rowing.

Answers

The correct answer is option Financial, customer, internal business, and learning and growing.The balanced scorecard (BSC) is a strategic planning.

management system that organizations use to align their business activities to the strategy and vision of the organization by monitoring performance and subsequently make strategic decisions.The BSC incorporates four key perspectives, namely; Financial, Customer, Internal Business Processes, and Learning & Growth. The BSC takes into account more than just financial measures;

Financial Perspective: This perspective measures the organization's financial performance and tracks whether the organization is meeting its financial goals. Internal Business Perspective: This perspective evaluates the organization's ability to learn and grow, including employee training and development, knowledge management, and innovation.

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As a marketing company:
What are your key market segments, customer groups, and stakeholder groups as appropriate?
What are their key requirements and expectations for your products, customer support services, and operations, including any differences among the groups?

Answers

As a marketing company, the key market segments include demographics, location, psychographics, behavior, and purchase history. The customer groups consist of existing, potential, and former customers. The stakeholder groups include shareholders, employees, and suppliers.

Key requirements and expectations for products, customer support services, and operations vary among these groups. Customers require high-quality products, customer support services, and a positive customer experience, while shareholders expect a return on investment, financial stability, and transparency. Employees require fair compensation, a positive work environment, and job security, while suppliers require timely payments and a consistent demand for their products or services.There may also be differences in requirements and expectations among the various customer groups. For example, existing customers may expect loyalty rewards or special discounts, while potential customers may require more marketing efforts to persuade them to make a purchase. Former customers may have had a negative experience and may require efforts to regain their trust and loyalty.

The marketing company should carefully analyze the requirements and expectations of each market segment, customer group, and stakeholder group to ensure that they are meeting their needs and achieving their business objectives.

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Within Westrum's typology of organizational cultures, organizations are rated as pathological, bureaucratic, or generative, based on how they respond to... negative safety information government regulators accepted industry standards quality control inspections

Answers

Westrum's typology of organizational cultures is based on how organizations respond to negative safety information, and they are classified as pathological, bureaucratic, or generative.

In pathological organizations, those who raise safety concerns are viewed as troublemakers, and safety-related information is ignored or suppressed. Such organizations prioritize power and personal gain over safety and accountability.Bureaucratic organizations are characterized by rigid structures, procedures, and rules, as well as a tendency to rely on hierarchy for decision-making.

Safety-related information in these organizations is usually siloed, and safety procedures and measures are prioritized for the sake of compliance rather than risk reduction. The industry standards offer guidelines and best practices for the organization to follow to ensure that they offer the best services and products and maintain high safety standards.

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Scenario: You are a project manager at Duke Hospitals. Your current project involves completely revamping the cafeteria services (open to everyone) at the main Duke Hospital. Your project includes such things as establishing partnerships with and using locally produced goods whenever possible, offering healthy and colorful complete salad bars, offering steamed or stir-fried vegetables, incorporating whole grain bread/pasta/side dishes stations, to name just some. A component of your project also involves developing and delivering a campaign outlining the 'healthy plate' which consists of 50% fruits and vegetables, 25% grains, and 25% lean protein.
After creating your word document, be sure to copy each question into the word document. Then write a response for each question. Each response to each question should be a minimum of 3-5 sentences. The responses are worth up to 75 points for content and up to 25 points for spelling, grammar, punctuation, and capitalization. Each question is worth 20 points.
Questions:
1. Search for the MISSION statement of Duke Hospital. Write it down as you find it on the internet. Then, explain in your OWN WORDS what it means to you.
2. Search for the VISION statement of Duke Hospital. Write it down as you find it on the internet. Then, explain in your OWN WORDS what it means to you.
3. Given the scope of your project, what are 3 ways that your project fits into the mission and vision of Duke Hospitals?
4. Identify at least 5 STAKEHOLDERS of this project. Rank them from 1 to 5, with 1 being the most influential or important stakeholder.
5. You would like to be creative when leading your project team members. Given your project, what are 3 ways that you could continue to keep Duke's mission and vision (and, of course your project) in the forefront of stakeholders' minds?

Answers

1. MISSION statement of Duke Hospital:
The mission of Duke Hospital is to provide high-quality patient care, educate future healthcare leaders, advance medical knowledge, and improve the health and wellbeing of our local and global communities.


2. VISION statement of Duke Hospital:
Duke Hospital’s vision is to be the leading innovator in patient care, education, and research. To me, this means that Duke Hospital strives to be at the forefront of healthcare by constantly exploring and creating new ways to improve patient care, educating the next generation of healthcare professionals, and discovering new and better ways to treat illnesses.

3. Given the scope of the project, here are three ways it fits into the mission and vision of Duke Hospitals:
a) Revamping the cafeteria services to provide healthy and nutritious meals is in line with Duke Hospital’s mission to improve the health and well-being of its local and global communities.
b) Encouraging the use of locally produced goods aligns with Duke Hospital’s commitment to sustainability and reducing its carbon footprint.

4. Stakeholders of this project (ranked by their importance):
a) Patients - since the project is focused on improving the hospital's cafeteria services, the patients who consume the food are the most important stakeholders.
b) Hospital Staff - staff members who work at Duke Hospitals will be impacted by the new cafeteria services.
c) Food Service Workers - they will be responsible for implementing the changes and will be directly impacted.
d) Vendors/Suppliers - they will be required to provide locally sourced goods and may need to change their business practices.
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A CPA firm submitted a proposal to perform agreed-upon procedures for Birch Co. The engagement partner's wife is the administrative assistant to the sales team of Birch Co. The firm can accept Birch Co. as a new client because the firm is independent and objective. The firm can accept Birch Co. as a new client with a disclosure of the relationship in the attestation report. The firm cannot accept Birch Co. as a new client due to a lack of independence and objectivity. The firm cannot accept Birch Co. as a new client due to a lack of integrity. The firm cannot accept Birch Co. as a new client due to the nature and scope of the services being provided.

Answers

The CPA firm cannot accept Birch Co. as a new client due to a lack of independence and objectivity. The engagement partner's wife is employed as the administrative assistant to the sales team at Birch Co., creating a significant conflict of interest.

This situation compromises the CPA firm's ability to maintain independence and objectivity when performing the agreed-upon procedures for Birch Co. Evaluating the company's financial statements and verifying financial information impartially would be challenging under these circumstances. The AICPA Code of Professional Conduct, specifically Section 1.110.010, clearly states that the independence of a CPA is impaired when an immediate family member works for the client's company.

Consequently, it is crucial for the CPA firm to decline Birch Co.'s proposal to ensure compliance with ethical standards and professional integrity.

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Suppose that the current price of a non-dividend paying stock is $42. A one-year European put option and a one-year European call option on the stock with a strike price of $44 are both quoted at $3. The risk-free rate is 6% with continuous compounding. Which of the following best describes the actions required to take advantage of the available arbitrage opportunity? Short a call and borrow to buy a put and buy the stock. Short a call, buy a put, short sell the stock, and invest the remaining proceeds at the risk-free rate. Short a call, short a put, and invest the remaining proceeds at the risk-free rate. Borrow to buy a call and buy the stock, and short a put. Buy a call, short a put, short sell the stock, and invest the remaining proceeds at the risk-free rate.

Answers

The overall net profit for the arbitrageur is $1, which is a 6% return of investment. Option A should be selected. 

The price of European put and call options, both with a strike price of $44, is $3. We'll use these prices to see if an arbitrage opportunity exists.

Option A: Short a call and borrow to buy a put and buy the stock

The payoff from the call option can be expressed as

:Max [0, ST - X]If ST (price of stock at maturity) is less than X, the call option's payoff is 0. The call option's payoff is ST - X if the ST is greater than X. For the investor who sells the call option, the payoffs are reversed. In this scenario, the arbitrageur sells a call option and receives a $3 premium. If the stock price rises above $44, the option will be exercised, resulting in a net loss for the investor. To limit the loss, the arbitrageur must buy the stock and borrow $41 ($44 strike - $3 call premium).

The arbitrageur sells the put option for $3 and receives a $42 profit if the stock price is above $44 at the end of the one-year holding period. If the stock price falls below $44, the put option will be exercised, resulting in a net profit of $44-$3-$41=$0 for the investor.The overall net profit for the arbitrageur is $3-$3+$42-$41=$1, which is a 6% return on investment ($1/$41). Thus, the arbitrageur is expected to make a profit by purchasing this option.

As a result, the best option is to short a call, borrow to buy a put, and buy the stock. Therefore, Option A is the correct answer.

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Suppose demand and supply are given by Q d
=60−P and Q S
=1.0P−20. a. What are the equilibrium quantity and price in this market? Equilibrium quantity: Equilibrium price: $ b. Determine the quantity demanded, the quantity supplied, and the magnitude of the surplus if a price floor of $50 is imposed in this market. Quantity demanded: Quantity supplied: Surplus: c. Determine the quantity demanded, the quantity supplied, and the magnitude of the shortage if a price celling of $32 is imposed in the market. Also, determine the full economic price paid by consumers. Quantity demanded: Quantity supplied: Shortage: Full economic price: $

Answers

a. The given equations are Q d = 60 −P  ----(1)Qs = 1.0P − 20 --- (2) Equilibrium quantity is the point where demand and supply curves intersect, i.e., where Q d = Qs Substituting (1) and (2), we get60 − P = 1.0P − 20P = $40

Equilibrium price: Equilibrium price is the price where demand and supply curves intersect, i.e., where Q d = Qs Substituting the value of P in equation (1), we get Q = 60 − P = 60 − 40 = 20

Equilibrium price is $40 billion as a result. If a $50 price floor is established in this market, calculate the amount required, the quantity provided, and the size of the excess. The floor price is more than the equilibrium price of $40.

Quantity demanded: Substituting P = $50 in equation (1)Q d = 60 − P = 60 − 50 = 10Therefore, Quantity demanded is 10Quantity supplied: Substituting P = $50 in equation (2)Qs = 1.0P − 20Qs = 1.0(50) − 20 = 30Therefore, Quantity supplied is 30Surplus: Quantity supplied - Quantity demanded = 30 - 10 = 20

So, Surplus is 20 cents. If a $32 price cap is put on the market, calculate the amount sought, the quantity provided, and the size of the shortage. Likewise, ascertain the complete economic cost that customers bear. The price cap is less than the equilibrium price, which is $40.Amount supplied: When P = $32 is substituted in equation (2), Qs = 1.0P 20Qs = 1.0(32) 20 = 12

Therefore, Quantity supplied is 12Quantity demanded: Substituting P = $32 in equation (1),Qd = 60 − P = 60 − 32 = 28Therefore, Quantity demanded is 28Shortage: Quantity demanded - Quantity supplied = 28 - 12 = 16.

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Operating Cash Flows (Direct Method) The Thurston Company’s current year income statement contains the following data:
Sales revenue . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $790,000
Cost of goods sold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 550,000
Gross profit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $240,000
Thurston’s comparative balance sheets show the following data (accounts payable relate to merchandise purchases):
End of Year
Accounts receivable . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $ 71,000 Beginning of year: $61,000
Inventory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120,000 Beginning of year: 96,000
Prepaid expenses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3,000 Beginning of year: 10,000
Accounts payable . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31,000 Beginning of year: 35,000
Compute Thurston’s current-year cash received from customers and cash paid for merchandise purchased.

Answers

Current year cash received $780,000 and cash paid $560,000

The following is the calculation for Thurston Company’s current-year cash received from customers and cash paid for merchandise purchased.

Cash received from customers = Sales + decrease in accounts receivable

Cash received from customers = $790,000 + ($61,000 - $71,000)

Cash received from customers = $780,000

Cash paid for merchandise purchased = Cost of goods sold + increase in inventory – decrease in accounts payable

Cash paid for merchandise purchased = $550,000 + ($120,000 - $96,000) - ($35,000 - $31,000)

Cash paid for merchandise purchased = $560,000

Therefore, Thurston Company’s current-year cash received from customers and cash paid for merchandise purchased are $780,000 and $560,000, respectively.

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Vehicles with a cost price of R500 000 and accumulated depreciation of R400 000 are expected to be sold at the end of 2022 at a profit of R50 000. Due to the expected growth in sales, delivery vehicles with a cost price of R5000000 will be purchased. The total depreciation for 2022 is estimated at R1 200000. Dividends of R1 500000 are expected to be recommended by the directors at the end of December 2022. These dividends will be paid to the shareholders during 2023. R1 200000 will be paid to Jap Bank during 2022. This amount includes R500 000 for interest. The amount of external funding (non-current debt) required to fund the growth in the company must be determined (balancing figure). The directors are also considering investment opportunities for 2023 and have identified, amongst others, the purchase of additional machinery to increase the productive capacity. The expected cost of the machinery is R8000000 with a useful life of five years and no scrap value. Depreciation is calculated on a straight-line basis. The new machinery is expected to increase net profit by R950 000 per year. The company's cost of capital is 15% . Answer ALL the questions in this section. Question 1: (14 Marks) Prepare the Pro Forma Statement of Financial Position as at 31 December 2022. Question 2: Refer to the investment opportunity for 2023 and calculate the following: 2.1 Payback period (expressed in years, months and days). (3 marks) 2.2 Accounting Rate of Return on average investment (expressed to two decimal places). (4 marks) 2.3 Benefit Cost ratio (expressed to two decimal places). (4 marks) 2.4 Internal Rate of Return using interpolation (answer expressed to two decimal places). (5 marks) Write a function that takes in eight (8) integers representing a DLSU ID number. The function should return a value of either 1 or 0 depending on the validity of the ID number inputted. 1 VALID O NOT VALID The validity of the ID number can be checked by multiplying the first digit by 8, the second digit by 7, and so on until you multiply the last digit by 1. Take the sum of all these products and if the sum is divisible by 11, the ID number is valid. Example: 11106301 -> 1"8+1"7+1*6 + 0*5+64 +3+3+ 0*2+11 = 55 VALID 12112345 >18+2+7+146+145+2*4+3 3+42 +51 63 | NOT VALID Demonstrate that your function is working by using two (2) test cases: Test Case ID Number: 12345678 Test Case 2 Your own DLSU ID Number In your main function, using conditional statements, show in the prompt if the ID number is VALID or NOT VALID. You will use the output of your function as an argument for your conditional statement. criminal justice, please answer the 2 questionsDetectives are portrayed in the media as the elite ofthe police department. Is there anything to this detectivemystiquewhat are the role of detective Determine the x - and y-coordinates of the centroid of the shaded area. Answer: (x,y)=( The soil volumes on a road construction project are as follows: Loose volume = 372 m Compacted volume = 265 m Bank volume = 300 m (a) Define the term "loose volume". (b) Define the term "swell" for earthworks volume calculations and provide an example of a situation in which swell could occur. (c.) Calculate the following factors (to two decimal places): Show all of your work in the space provided.(If needed you can use extra paper).Show all of your work, or you will not get any credit. 1. Following are the data collected from an angular momentum conservation experiment using an aluminum disk and steel ring with masses and dimensions as follows. Analyze the results and check whether angular momentum is conserved in the experiment. Obtain the - \% difference L 1 1and L 2 2.(20 points) Mass of Aluminum Dise (m in Kg)=0.106Kg * Radius of Aluminum Disc (r in m)=0.0445 m 4 Mass of Steel ring (M in Kg)=0.267 Kg, Inner Radius of Steel Disc (r 1in m)= 0.0143m, Outer Radius of Steel Disc (r 2inm)=0.0445m Moment of Inertia of disk is given by I= 21mr 2Moment of Inertia of ring is given by I s= 21M(r 12+r 22) Angular momentum I 2.Calculate the equivalent resistances of the following four circuits, compare the values with the experimental values in the table and calculate the \% difference between experimental and theoretical values. Series Circut: R eq=R 1+R 2+R 3+ Parallel Circut: R eq1= R 11+ R 21+ R 31+ Calculate the pH of a buffer comprising0.010M NaNO2 and 0.10M HNO2 (Ka = 1.5 x10-4)You have 0.50L of the following buffer 0.010M NaNO2 and 0.10M HNO2 (Ka = 4.1 x10-4) to which you add 10.0 mL of 0.10M HClWhat is the new pH?