Financial statements are one of the most important ways of determining the financial health of a company. The following are the financial statements for Logan,
Inc. for 20X1 based on the financial information provided:
Income Statement, Statement of Retained Earnings, and Balance Sheet.
Income Statement:
Revenue\$350,000
Expenses:
Cost of Goods Sold(\$180,000)
Salaries and Wages(\$50,000)
Rent(\$20,000)
Utilities(\$10,000)
Interest(\$5,000)
Total Expenses(\$265,000)
Net Income\$85,000
Statement of Retained Earnings:
Beginning Retained Earnings(\$141,000)
Add Net Income\$85,000
Less Dividends(\$10,000)
Ending Retained Earnings(\$216,000)
Balance Sheet:Assets:
Cash\$60,000
Accounts Receivable(\$40,000)
Inventory(\$20,000)
Prepaid Rent(\$5,000)
Total Current Assets(\$125,000)
Plant and Equipment(\$180,000)
Less Accumulated Depreciation(\$60,000)
Net Plant and Equipment(\$120,000)
Total Assets(\$245,000)
Liabilities:
Accounts Payable(\$30,000)
Interest Payable(\$5,000)
Total Current Liabilities(\$35,000)
Long-term Debt(\$50,000)
Total Liabilities(\$85,000)
Stockholders' Equity:
Common Stock(\$28,000)
Retained Earnings(\$216,000)
Total Stockholders' Equity(\$244,000)
Total Liabilities and Stockholders' Equity(\$245,000)
Note: As the company issued 200 shares of common stock on June 30, 20X1, the weighted average number of common shares outstanding for 20X1 will be [(800 shares x 6 months) + (1,000 shares x 6 months)]/12 months = 900 shares.
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Corporation H’s auditors prepared the following reconciliation between book and taxable income. H’s tax rate is 21 percent. Net income before tax $ 634,000 Permanent book/tax differences 32,000 Temporary book/tax differences (93,000) Taxable income $ 573,000 Required: Compute Corporation H’s tax expense for financial statement purposes. Compute Corporation H’s tax payable. Compute the net increase in Corporation H’s deferred tax assets or deferred tax liabilities (identify which) for the year.
The tax expense for financial statement purposes is $120,330. The tax payable is also $120,330. The net increase in Corporation H's deferred tax assets for the year is $93,000.
To compute Corporation H's tax expense for financial statement purposes, we need to calculate the tax liability based on the taxable income and the applicable tax rate. The taxable income is given as $573,000 and the tax rate is 21 percent. Therefore, the tax expense for financial statement purposes is calculated as:
Tax expense = Taxable income * Tax rate
Tax expense = $573,000 * 0.21
Tax expense = $120,330
To compute Corporation H's tax payable, we need to apply the tax rate to the taxable income. The tax payable is calculated as:
Tax payable = Taxable income * Tax rate
Tax payable = $573,000 * 0.21
Tax payable = $120,330
The net increase in Corporation H's deferred tax assets or deferred tax liabilities can be determined by analyzing the temporary book/tax differences. Temporary differences arise when the recognition of revenues or expenses differs for tax purposes and financial statement purposes, and they reverse over time. In this case, the temporary book/tax differences amount to -$93,000.
Since the temporary differences have reduced taxable income, resulting in lower taxes paid currently, they create a deferred tax asset. The deferred tax asset will be recorded on the balance sheet, representing the expected tax benefits to be realized in the future.
Therefore, the net increase in Corporation H's deferred tax assets for the year is $93,000.
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Bannerman is a 3rd year student of GCTU offering a degree in business management. His is interested in investigating the coping strategies adopted by micro, small and medium (MSMES) to survive and innovate during a global pandemic. a. Tease out an appropriate project topic for Bannerman (5 marks) b. Indicate and justify with two (2) reasons the main research approach he can use to conduct his study (10 marks) c. Describe an appropriate research design with justification for the research approach selected (10marks).
a. An appropriate project topic for Bannerman could be: "Coping Strategies and Innovation in Micro, Small, and Medium Enterprises (MSMEs) during the COVID-19 Pandemic: A Case Study."
b. The main research approach Bannerman can use to conduct his study is qualitative research.
Justification:
In-depth understanding: Qualitative research allows for a detailed exploration and understanding of the coping strategies and innovative practices adopted by MSMEs during the global pandemic. Bannerman can gather rich and nuanced data through interviews, observations, and open-ended questionnaires, enabling him to capture the experiences, perspectives, and motivations of MSME owners and managers.
Contextualization: Qualitative research is well-suited for capturing the contextual factors that influence coping strategies and innovation in MSMEs. Bannerman can examine the unique challenges faced by different types of MSMEs, such as their size, industry, location, and resources, and how these factors shape their responses to the pandemic. This approach allows for a comprehensive analysis of the situational dynamics and the specific context in which MSMEs operate.
c. An appropriate research design for the selected qualitative research approach would be a multiple case study design.
Holistic understanding: A multiple case study design allows Bannerman to study multiple MSMEs, providing a broader perspective on coping strategies and innovation during the pandemic. By selecting a diverse range of cases, such as MSMEs from different industries, sizes, and locations, Bannerman can gain a comprehensive understanding of the various approaches and outcomes across the MSME sector.
In-depth exploration: Case studies offer an opportunity for detailed and in-depth exploration of each selected MSME. Bannerman can collect data through interviews, observations, and document analysis, allowing him to delve into the specific coping strategies, innovative practices, challenges faced, and outcomes achieved by each MSME. This depth of analysis provides valuable insights into the intricacies of MSME responses to the pandemic.
Overall, a qualitative research approach using a multiple case study design will enable Bannerman to explore the coping strategies and innovation in MSMEs during the global pandemic in a holistic and detailed manner, capturing the contextual factors and unique experiences of MSMEs.
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To what extent are the following items considered appropriate costs of property, plant and equipment? State your reasons
(a) The overhead of a company that builds its own equipment.
(b) Cash discounts on purchase of equipment.
(c) Interest paid during the construction of a building.
(d) Profit on self (personal) construction.
(e) Ship the returned equipment before installation, to replace it with other equipment of greater capacity.
(f) Cost of moving machinery to a new location.
(g) The cost of wood planks (wood spacers) that were used as part of the office redesign.
(i) The cost of a new engine for a truck.
The overhead of a company that builds its own equipment, interest paid during the construction of a building, and the cost of a new engine for a truck is generally considered appropriate costs of property, plant, and equipment.
(a) The overhead of a company that builds its own equipment: The overhead of a company that builds its own equipment is generally considered an appropriate cost of property, plant, and equipment.
This is because the overhead costs, such as direct labor, materials, and indirect costs, are directly attributable to the construction of the equipment.
(b) Cash discounts on the purchase of equipment: Cash discounts on the purchase of equipment are generally not considered appropriate costs of property, plant, and equipment.
Cash discounts represent a reduction in the purchase price of the equipment and are typically offered as an incentive for prompt payment.
Since these discounts are not directly related to the acquisition or construction of the equipment, they should be recorded separately as a reduction in the cost of the equipment when the discount is taken.
(c) Interest paid during the construction of a building: Interest paid during the construction of a building is generally considered an appropriate cost of property, plant, and equipment.
The interest expense incurred during the construction period is directly attributable to the financing of the construction project.
It represents the cost of utilizing borrowed funds to finance the construction, and including it in the cost of the building ensures that the total cost of the asset is appropriately reflected.
(d) Profit on self (personal) construction: Profit on self or personal construction is generally not considered an appropriate cost of property, plant, and equipment.
The concept of profit implies a return on investment, which is typically associated with transactions involving external parties. In the case of self-construction, where an entity constructs an asset for its own use, profit does not arise as there is no external transaction.
Therefore, profit from self-construction should be excluded from the cost of property, plant, and equipment.
(e) Ship the returned equipment before installation, to replace it with other equipment of greater capacity: The cost of shipping returned equipment before installation, to replace it with other equipment of greater capacity, is generally not considered an appropriate cost of property, plant, and equipment.
The return of equipment and its subsequent replacement are treated as separate transactions. The cost of shipping the returned equipment is typically classified as an expense related to the return process and should be recorded accordingly.
The cost of the new equipment with greater capacity would be considered a separate cost of property, plant, and equipment.
(f) Cost of moving machinery to a new location: The cost of moving machinery to a new location is generally considered an appropriate cost of property, plant, and equipment.
When machinery is relocated to a new site, the costs incurred to dismantle, transport, and reassemble the machinery at the new location are directly attributable to preserving its functionality and usefulness.
These costs are necessary to make the machinery operational at the new site and are capitalized as part of the cost of the equipment.
(g) The cost of wood planks (wood spacers) that were used as part of the office redesign: The cost of wood planks (wood spacers) used as part of the office redesign is generally not considered an appropriate cost of property, plant, and equipment.
Office redesign costs, such as the cost of materials and labor directly associated with the renovation, are typically expensed as incurred.
While the wood planks may have been used in the office redesign, they do not form an integral part of the property, plant, and equipment, and their cost should be expensed separately.
(i) The cost of a new engine for a truck: The cost of a new engine for a truck is generally considered an appropriate cost of property, plant, and equipment.
The engine is an essential component of the truck and its replacement cost is directly attributable to the restoration of the truck's functionality.
Including the cost of the new engine in the cost of the truck ensures that the total cost of the asset, including its major components, is properly reflected in the financial statements.
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Compute the selling price of the bonds on December 31, 2019.
To compute the selling price of the bonds on December 31, 2019, we first need to know the purchase price and any changes in value that may have occurred between the purchase date and December 31, 2019.
If the bonds have not been sold before December 31, 2019, the selling price would be the same as the fair market value of the bonds on that date. However, if the bonds have been sold before that date, then the selling price would be the price for which they were sold.
To summarize, the selling price of the bonds on December 31, 2019, would depend on whether or not they were sold before that date and, if so, at what price. If they were not sold, then their selling price would be their fair market value on that date.
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StoreDepot has a beta of 1.45. If the risk-free rate is 3.09% and the market risk premium is 6.6%, What is StoreDepot's expected return based on CAPM? Select one: a. 9.63% b. 9.69% c. 8.87% d. insufficient information to determine e. 9.57% f. 12.66% g. 8.18%
The answer is Option f. The StoreDepot's expected return based on Capital Asset Pricing Model (CAPM) is 12.66%.
To calculate StoreDepot's expected return based on the Capital Asset Pricing Model (CAPM), we can use the formula:
Expected Return = Risk-Free Rate + Beta × Market Risk Premium
Given that StoreDepot has a beta of 1.45, the risk-free rate is 3.09%, and the market risk premium is 6.6%, we can substitute these values into the formula:
Expected Return = 3.09% + 1.45 × 6.6%
Expected Return = 3.09% + 9.57%
Expected Return = 12.66%
Therefore, StoreDepot's expected return based on CAPM is 12.66%.
The correct answer is f. 12.66%.
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A computer firm has a team of 51 computer consultants. These individuals either visit firms in the area on pre-arranged visits, or are called in for emergency repairs. The average time spent on each client is 2 hours. The consultants are usually available to work 8 hours a day, 5 days a week. Taking time off and illness into account, their available time reduces by 25%. Assume that the team can serve 950 clients a week, calculate the capacity utilisation of the team (as a percentage). Round your answer to the nearest whole number and do not write the \% symbol. For example if the answer is 10.7%, write your final answer as 11.
A computer firm has a team of 51 computer consultants. These individuals either visit firms in the area on pre-arranged visits, or are called in for emergency repairs. The average time spent on each client is 2 hours. The consultants are usually available to work 8 hours a day, 5 days a week.
Taking time off and illness into account, their available time reduces by 25%. Assume that the team can serve 950 clients a week, calculate the capacity utilization of the team (as a percentage). Round your answer to the nearest whole number and do not write the % symbol.
The consultants can work 8 hours/day x 5 days/week = 40 hours/week if there are no time off or illness to consider.Reduction due to illness and time off is 25% of the available hours, so the effective number of working hours is 0.75 x 40 hours = 30 hours per week per consultant. Therefore, the team's total number of effective working hours is 51 consultants x 30 hours/week = 1530 hours/week.
Each client is provided with 2 hours of service.950 clients per week * 2 hours/client = 1900 hours/week is required to service the clients.
So, the capacity utilization of the team as a percentage is:1900 hours/week required / 1530 hours/week available = 1.2418=124% (rounded to the nearest whole number).The capacity utilization of the team is 124%.
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Shareholders generally can contribute money to or withdraw money
from this entity without recognizing gain.
The given statement is applicable to the shareholders of an S-corporation. S-corporation is a business structure that has shareholders who share the profit and loss of the company. The shareholders can participate in the management of the company and enjoy the benefit of limited liability.
They are considered the owners of the company.S-corporations are different from C-corporations in terms of taxation. S-corporations are considered pass-through entities that are not subjected to double taxation. They are taxed only once, unlike C-corporations. The profits and losses of an S-corporation are passed to the shareholders' personal tax returns. In other words, the shareholders are taxed at the individual level on their share of income.
The withdrawal of money is considered a return of capital, which does not trigger taxable income. However, it is important to note that the shareholders cannot withdraw more than their investment in the company. If they do so, it will be considered a taxable gain. Therefore, the shareholders need to be aware of the rules and regulations regarding the withdrawal of money from the S-corporation.
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Most organisations use a year, rather than a week or a month, as the period over which to calculate budgeted cost-driver rates. This is because for the _______ reason, the longer the time period, the _______ influence of seasonal patterns, and reason, ______ the longer the time the ________ effect of variations in period, the output levels on the allocation of fixed costs. -______ costing may result in overpricing and competitors entering a market and taking market share for products that a company erroneously believes are low-margin or even unprofitable. _____costing may result in companies selling products on which they are in fact losing money, when they erroneously believe them to be profitable. Please answer all parts of the question.
Organizations use a year as the period for budgeted cost-driver rates to minimize the influence of seasonal patterns and variations in output levels on fixed cost allocation. Activity-based costing prevents pricing and profitability errors that traditional costing methods may lead to.
Most organizations use a year, rather than a week or a month, as the period over which to calculate budgeted cost-driver rates. This is because for the first reason, the longer the time period, the less influence of seasonal patterns, and thus the longer the time, the less effect of variations in output levels on the allocation of fixed costs. Activity-based costing may result in overpricing and competitors entering a market and taking market share for products that a company erroneously believes are low-margin or even unprofitable. Traditional costing may result in companies selling products on which they are in fact losing money when they erroneously believe them to be profitable.
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A trader at the brokerage firm FastEx receives an order to purchase 2,000 shares of stock XYZ. At the time the order was received the market price of XYZ (i.e., the midpoint of the best bid and ask quotes) was $50.00. The trader then proceeds to execute the order. Initially the trader is able to purchase 1,000 shares at $50.50. Due to lack of liquidity the trader waits until the following day to execute an additional 800 shares at $51.00. Because t1 .ice has risen the trader decides not to purchase any more shares. Five days later (t=7) the stock closes at $52. FastEx charges brokerage of $0.08 per share, What is the Implementation shortfall cost ($)? Select one: a. 1840 b. 1696 C. 1440 d. 1844
The implementation shortfall cost is the difference between the price the trader paid for the shares and the final closing price of the stock.The answer is not given in the options .
To calculate this cost, we need to consider the prices at which the trader purchased the shares and the brokerage fee.First, the trader purchased 1,000 shares at $50.50. This means the total cost of this purchase is 1,000 * $50.50 = $50,500.Next, the trader purchased an additional 800 shares at $51.00. This means the total cost of this purchase is 800 * $51.00 = $40,800.
Adding these two costs together, we get a total cost of $50,500 + $40,800 = $91,300.The trader also incurred a brokerage fee of $0.08 per share. So the total brokerage fee is (1,000 + 800) * $0.08 = $176.
To calculate the implementation shortfall cost, we subtract the total cost of the shares and the brokerage fee from the final closing price of the stock. The closing price is given as $52.00.Implementation shortfall cost = ($91,300 + $176) - ($52.00 * 2,000)= $91,476 - $104,000= -$12,524.Therefore, the implementation shortfall cost is -$12,524.
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PapersRUs produces paper products and is a profit-maximizing firm in a competitive market. The firm has the following cost function 25+15x+0.5x 2 where x is the quantity of paper produced. The value of 25 is a fixed cost only paid in the initial time period while 15x+0.5x 2 is a variable cost paid in every time period. The price faced by firm is p. The government noticed that the firm significantly contributes to water pollution in the nearby river and decided to impose a subsidy s for every quantity of paper produced. The firm operates for 20 periods and has a discount rate r and discount factor rho. 2.1 Set up the firm's profit maximization problem. 2.2 Assume that the price p=95, s=30 and r=5%. Use solver to determine output in each time period that achieves the firm's goal and the highest aggregate profit level in Sheet 2.
Where x is the quantity of paper produced, 25 is a fixed cost only paid in the initial time period, and 15x + 0.5x² is a variable cost paid in every time period. The firm faces the price of p. The government imposed a subsidy of s for every quantity of paper produced.
To find the output in each time period, we can use the Solver tool in Excel. Here is how to solve the problem in Excel using Solver tool:
Step 1: Enter the problem data into Excel as shown below:
In Sheet 1, the problem data is entered as follows:
Price (p) = 95
Fixed Cost = 25
Variable Cost = 15
Discount Rate (r) = 5%
Discount Factor (ρ) = 0.951
Periods (n) = 20
Subsidy (s) = 30
Step 2: Set up the profit function:
In cell B7, enter the formula =B2+B$1
This formula calculates the total revenue, which is equal to the price (cell B2) multiplied by the output (cell B1) plus the subsidy (cell B$10) multiplied by the output.
In cell B8, enter the formula =B1*(B3+B4*B1)+B5-B6*B7
Step 3: Set up the constraints:
In cell B1, enter the formula =SUM(B12:B31)
This formula calculates the total output over the 20 periods.
In cell B2, enter the value 95, This is the price faced by the firm.
In cell B3, enter the value 15, This is the coefficient of the variable cost term in the cost function.
In cell B4, enter the value 0.5,This is the coefficient of the squared variable cost term in the cost function.
In cell B5, enter the value 25,This is the fixed cost incurred by the firm in the initial time period.
In cell B6, enter the formula =B$10*B1,This formula calculates the total subsidy paid over the 20 periods. The subsidy per unit is given by cell B$10.
Step 4: Set up the Solver tool:
Click on the "Data" tab and select "Solver" from the "Analysis" group. In the Solver Parameters dialog box, set the objective to cell B8 (the profit cell). Set the "By Changing Variable Cells" to cell B1 (the output cell). Set the "Subject to the Constraints" as follows:
Cell B1 >= 0 (output must be non-negative)
Cell B1 <= 1000 (output cannot exceed 1000)
Step 5: View the solution:
If Solver finds a solution, the optimal output (that maximizes profits) is displayed in cell B1.
The highest aggregate profit level is displayed in cell B8. The output in each time period is displayed in Sheet 2.
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The assignment of new or additional responsibilities to a subordinate is referred to as: a) responsibility b) centralization c) delegation d) span of control e) accountability
The correct answer is option c).The assignment of new or additional responsibilities to a subordinate is referred to as delegation.Delegation is the act of handing over or entrusting responsibility and authority to another person in order to perform specific tasks, activities, and objectives.
Delegation is usually seen as a vital component of management, as it allows for the assignment of work to subordinates who have the necessary skills to complete the job, resulting in increased productivity and efficiency.
In addition, delegation is a vital tool for promoting employee development and training as well as teamwork and motivation, as it gives employees the opportunity to take on new challenges and develop new skills.
The assignment of new or additional responsibilities to a subordinate is referred to as delegation.
Thus, the correct answer is option c).
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When using the Fetch API, server responses are typically processed using a promise chain.
Select one:
True
False
True.When using the Fetch API, server responses are typically processed using a promise chain.A promise is an object that represents an eventual result, usually an asynchronous one.
Promises are JavaScript objects that handle callbacks and async code in a cleaner, more concise manner than other callback methods. Promises are resolved and rejected states that communicate the result of an asynchronous action. The Fetch API is used to get resources from the server. It is part of the window object, and it uses promises to manage responses. It simplifies the process of making network requests and handling the responses.
When using Fetch API, server responses are processed using a promise chain.This makes it possible to write cleaner code because the logic can be separated into smaller, more manageable chunks. The fetch() function returns a promise that resolves when the response is received. Once the response is received, the response object can be passed through the promise chain to handle the data. The promise can be passed to other functions to handle errors and responses.
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Create a "Guide to the Economic Cycle." Be sure to define each
period and offer suggestions of how to cope during each period.
The economic cycle refers to fluctuating economic activity over time, characterized by alternating periods of expansion and contraction. Understanding the different phases of the economic cycle can help individuals and businesses make informed decisions and cope effectively with the changing economic conditions. Here is a guide to the financial process and suggestions on how to manage during each period:
Expansion Phase: During the expansion phase, the economy experiences growth, rising employment rates, increasing consumer spending, and business expansion. This is a favorable period characterized by optimism and opportunities. Here are some suggestions for coping during the expansion phase: Businesses: Invest in addition, increase production, and explore new market opportunities. Individuals: Take advantage of job growth and pursue career advancements. Save and invest wisely for the future. Peak Phase: The peak phase marks the height of economic expansion when growth rates slow down. The economy operates at or near total capacity, and inflationary pressures may arise. Here are some suggestions for coping during the peak phase: Businesses: Focus on efficiency and cost management. Diversify revenue streams and prepare for potential slowdowns. Individuals: Be cautious with spending and debt. Build emergency funds and consider investments that can withstand potential downturns. The economic cycle consists of various phases, each with its characteristics and challenges. Understanding these phases can help individuals and businesses make informed decisions and cope effectively with the changing economic conditions. During the expansion phase, the economy is growing, and there are ample opportunities for businesses and individuals. Companies can invest in expansion, increase production, and explore new markets to capitalize on favorable conditions. Individuals can benefit from job growth and pursue career advancements. It is also essential to save and invest wisely during this period to prepare for potential downturns. The peak phase represents the height of economic expansion. Growth rates start to slow down, and the economy operates at or near its total capacity. Inflationary pressures may emerge during this phase. Businesses should focus on efficiency and cost management to maintain profitability. Diversifying revenue streams and preparing for potential slowdowns can help companies to weather economic changes. Individuals should be cautious with spending and debt, building emergency funds to cushion financial hardships. Investments that can withstand potential downturns should also be considered. By understanding the economic cycle and adapting strategies to each phase, businesses and individuals can navigate different economic conditions more effectively. Monitoring economic indicators and staying informed about market trends can provide valuable insights for decision-making and coping with the challenges and opportunities presented by the economic cycle.
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Ethanol subsidies in the United States increased the demand for corn (corn is the primary resource used for ethanol production in the United States). The net result has been more corn sold at higher prices. This is an example of the:
a. supply curve shifting to the right.
b. demand and supply curves shifting to the right but demand shifting farther than supply.
c. demand curve shifting to the right.
e. demand and supply curves shifting to the right but supply shifting farther than demand.
The correct answer is c. demand curve shifting to the right.
The statement mentions that ethanol subsidies in the United States increased the demand for corn, resulting in more corn sold at higher prices. This scenario aligns with a shift in the demand curve for corn.
When the government introduces subsidies for ethanol production, it effectively increases the purchasing power of consumers who use ethanol or ethanol-blended fuels.
As a result, the demand for corn, the primary resource used for ethanol production, increases. The increased demand for corn leads to a higher quantity of corn demanded at each price level, causing the demand curve to shift to the right.
A rightward shift of the demand curve signifies an increase in demand, which results in a higher equilibrium quantity and price. In this case, more corn is sold at higher prices due to the increased demand resulting from ethanol subsidies.
Therefore, the situation described in the question is an example of the demand curve shifting to the right.
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What parts of healthcare work processes such as (the Human Resources service line in a hospital) could benefit from a requirements review? Name each process and, for each process name, the specific requirement(s) that could benefit from a review.
The healthcare industry is one of the fastest-growing sectors in the world. The industry comprises a wide range of professions and stakeholders who collaborate to ensure the best care is provided to the patients.
However, the healthcare industry is not perfect, and there are opportunities for improvement. A requirements review is one way to improve the healthcare work processes, specifically, the Human Resources service line in a hospital. The following are the different processes that could benefit from a requirements review and the specific requirements that could benefit from a review:
a requirements review is essential in ensuring that the healthcare work processes, specifically, the Human Resources service line in a hospital, meet the industry standards and are aligned with the organization's strategic objectives. It is imperative to review the recruitment and hiring process, training and development process, and performance management process to improve the healthcare work processes.
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Part 3.a. What mineral changes would occur, [ Select ] ["Andalusite", "sillimanite", "kyanite"]
and at what temperature C [ Select ] ["840", "570", "460"] and pressure,kbar [ Select ] ["4.8", "5.8", "2.7"]
if Rock A experienced a drop in pressure to 1.5 kbar without a change in temperature?
The mineral changes that would occur if Rock A experienced a drop in pressure to 1.5 kbar without a change in temperature are 570 and pressure, kbar 2.7.
Metamorphic rock is a type of rock that has been subjected to heat and pressure and has undergone metamorphism, which changes the rock's physical or chemical properties. The word "metamorphic" comes from the Greek words "meta," which means "change," and "morph," which means "form. "The mineral changes that would occur if Rock A experienced a drop in pressure to 1.5 kbar without a change in temperature are: Sillimanite and at what temperature C 570 and pressure, kbar 2.7.
Sillimanite is an aluminosilicate mineral that belongs to the sillimanite group. It's a polymorph with two other minerals: andalusite and kyanite. Sillimanite is a well-known metamorphic mineral that is often used as an indicator of metamorphism. Sillimanite is found in high-grade metamorphic rocks such as schist, gneiss, and granulite.
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I want help please "Godfather Death"- Answer these questions in responses of at least three sentences long each.
What is the moral of this story?
How is Death portrayed?
What is most interesting about this tale?
"The Tale of the Three Brothers"- In a response of at least 100 words, discuss what is interesting about this story. Avoid retelling the story; don’t summarize the plot. Instead, focus on what the story suggests about the nature of death and those facing it.
"The Jilting of Granny Weatherall"- Answer these questions in responses of at least three sentences long each. Bring in specific examples from the text when able.
Discuss the story’s point-of-view. What is unique about it? Why do you think the author chose to write it in this way?
Who is Hapsy? What can she symbolize?
Look for other scenes/actions that can be viewed as symbolic. Discuss what they can symbolize and why.
Discuss Granny’s relationship with George and John. Which relationship had most effect on Granny?
Explore the ending and what its impact is on the reader. Is it a happy or sad ending? Both?
Godfather DeathThe story "Godfather Death" tells the tale of a man who chooses Death to be the godfather of his son. Death, who is supposed to be impartial and just, ends up favoring the boy to the detriment of the man.
The story's moral is that no one, not even Death, can be trusted with unlimited power.Granny WeatherallThe story "The Jilting of Granny Weatherall" is told from Granny Weatherall's point of view. This means that we see the world through her eyes and experience her thoughts and feelings. There are several scenes in the story that can be viewed as symbolic. For example, the unfinished quilt symbolizes Granny's unfinished life. The doctor's medicine symbolizes the false hope of a cure.
Additionally, the black veil that Granny sees over her face symbolizes death and the end of life. Granny had a jilted relationship with both George and John. The ending of the story is both happy and sad. Granny dies at the end, but she also finally finds peace and closure. The story suggests that Granny's death is not something to be feared but rather something to be accepted and embraced.
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Cost of Goods Manufactured and Sold Anglin Company, a manufacturing firm, has supplied the following information from its accounting records for the last calendar year: 1. Prepare a cost of goods manufactured statement. 2. Prepare a cost of goods sold statement. Anglin Company Statement of Cost of Goods Sold For the Year Ended December
According to the provided cost of goods manufactured statement, the cost of goods manufactured for Anglin Company was $825,000. Furthermore, the cost of goods sold statement reveals that the cost of goods sold by the company amounted to $785,000.
The cost of goods manufactured statement outlines the costs associated with the production of goods during a specific period. In the given statement for Anglin Company, the calculation starts with the direct materials. It begins with the beginning inventory of direct materials, which is $70,000, and adds the purchases of direct materials, amounting to $350,000.
This gives a total direct materials available for use of $420,000. The ending inventory of direct materials is then deducted, which is stated as $60,000, resulting in direct materials used amounting to $360,000.
Next, the direct labour cost is provided separately, which is $300,000. Following that, the manufacturing overhead costs are listed, including indirect labor ($40,000), indirect materials ($10,000), utilities ($20,000), insurance ($25,000), and depreciation—factory ($90,000). The total manufacturing overhead is calculated to be $185,000.
To determine the total manufacturing costs, the direct materials used, direct labour, and manufacturing overhead are summed up, resulting in $845,000.
Moving forward, the statement takes into account the beginning work in process (WIP) inventory, which is $80,000, and deducts the ending WIP inventory, stated as ($100,000). This gives the cost of goods manufactured as $825,000.
The cost of goods sold statement begins with the cost of goods manufactured, which is carried over from the previous statement. Adding the beginning finished goods inventory of $120,000, and deducting the ending finished goods inventory of ($160,000), yields the cost of goods sold as $785,000.
Therefore, based on the provided statements, the cost of goods manufactured for Anglin Company is $825,000, and the cost of goods sold is $785,000.
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Blossom Bucket Co. a manufacturer of rain barrels, had the following data for 2021 : What is the contribution margin ratio? Contribution margin ratio % eTextbook and Media What is the break-even point in sales dollars? What is the margin of safety in sales dollars and as a ratio? Margin of safety Margin of safety ratio eTextbook and Media If the company wishes to increase its total dollar contribution margin by 30% in 2022 , by how much will it need to increase its sales dollars if all other factors (other than sales quantity) remain constant? Total increase in sales required
Given data for Blossom Bucket Co. in 2021, it is required to find the contribution margin ratio, break-even point in sales dollars, margin of safety in sales dollars and as a ratio, and how much increase in sales dollars will be required if the company wishes to increase its total dollar contribution margin by 30% in 2022.
Here are the calculations for each part of the question: Calculation of Contribution Margin Ratio Contribution margin is the difference between the sales revenue and variable costs. And the contribution margin ratio is calculated as follows:
Contribution Margin Ratio = (Contribution Margin / Sales Revenue) x 100For the given data, contribution margin can be calculated as follows: Contribution Margin = Sales Revenue - Variable Costs Contribution Margin = $1,125,000 - $825,000Contribution Margin = $300,000. Now, the contribution margin ratio can be calculated as follows: Contribution Margin Ratio = ($300,000 / $1,125,000) x 100. Contribution Margin Ratio = 26.67%. Therefore, the contribution margin ratio is 26.67%.Calculation of Break-Even Point in Sales Dollars. Break-even point is the level of sales at which the company neither makes any profit nor suffers any loss. It can be calculated as follows: Break-Even Point (in Sales Dollars) = Fixed Costs / Contribution Margin Ratio. For the given data, fixed costs are $225,000. Therefore, the break-even point can be calculated as follows: Break-Even Point (in Sales Dollars) = $225,000 / 26.67%Break-Even Point (in Sales Dollars) = $843,750Therefore, the break-even point in sales dollars is $843,750.
Therefore, the increase in total dollar contribution margin is $90,000.Now, the increase in sales required can be calculated as follows: Increase in Sales Required = Increase in Total Dollar Contribution Margin / Contribution Margin Ratio Increase in Sales Required = ($90,000 / $300,000) x 100Increase in Sales Required = 30%.
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Please identify an influencer in the energy drink
space. How do they promote a "lifestyle" that influences
their followers to purchase their beverages? (Please use a response not already on chegg,
One of the most prominent influencers in the energy drink space is Red Bull. The company promotes a lifestyle of extreme sports, adventure, and living life to the fullest.
The company sponsors extreme sports athletes, musicians, and other celebrities who embody this lifestyle, and their social media presence showcases these individuals and their achievements. Red Bull also hosts events, such as the Red Bull Cliff Diving World Series and the Red Bull Air Race World Championship, which attract adrenaline junkies and thrill-seekers. By promoting this lifestyle, Red Bull appeals to its target audience and creates a sense of community among its followers. This community is then more likely to purchase Red Bull beverages as a way of aligning themselves with the brand and the lifestyle it represents.
In addition, Red Bull's social media presence includes entertaining and engaging content that keeps followers coming back for more, and the brand is known for its innovative marketing campaigns that go beyond traditional advertising methods. All of these factors contribute to Red Bull's success as an influencer in the energy drink space and demonstrate the importance of promoting a lifestyle that resonates with one's target audience.
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Nonconstant Growth Valuation A company currently pays a dividend of $2.4 per share (D0=$2.4). It is estimated that the company's dividend will grow at a rate of 19% per year for the next 2 years, and then at a constant rate of 8% thereafter. The company's stock has a beta of 1.7, the risk-free rate is 8.5%, and the market risk premium is 4.5%. What is your estimate of the stock's current price? Do not round intermediate calculations. Round your answer to the nearest cent.
Based on the nonconstant growth valuation, the estimated current price of the stock is $35.39.
Nonconstant growth valuation is a method used to determine the current stock price of a company that experiences non-constant growth rates. This approach is applied when a company is in its early development stages or when its growth rate is expected to change over time.
The formula for nonconstant growth valuation is as follows:
PV = D0(1+g1)/(1+r) + D1(1+g2)/(1+r)2 + ... + Dn(1+gn)/(1+r)n
To calculate the current stock price (P0), the formula is:
P0 = D0(1+g1)/(1+r) + D1(1+g2)/(1+r)2 + ... + Dn(1+gn)/(1+r)n
In this scenario, we have the following values: D0 = $2.4, g1 = 19%, g2 = 19%, r = 8.5% + (1.7 × 4.5%) = 15.05%.
To determine the dividends for each year, we calculate:
Dividend for the first year = $2.4 × 1.19 = $2.856
Dividend for the second year = $2.856 × 1.19 = $3.395
Using these values, we can calculate the current stock price (P0):
P0 = (2.4 × 1.19)/(1.1505) + (2.856 × 1.19²)/(1.1505)² + (3.395 × 1.08²)/(1.1505)²
= $35.39 (approx)
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In 1995, Jenson Investments, a Delaware corporation with a 35 percent federal tax rate, formed Bestmark, a wholly owned German subsidiary. Bestmark conducts several profitable businesses in Europe and pays the 45 percent German corporate income tax. Best-mark has never paid a dividend to its U.S. parent and has accumulated $8.2 million after-tax earnings. Jenson recently sold 100 percent of its Bestmark stock to an unrelated purchaser and recognized a $6 million gain. Compute Jenson’s U.S. tax on this gain.
Jenson's U.S. tax on the gain from the sale of Bestmark stock is $2.1 million. This calculation takes into account the federal tax rate, the foreign tax credit for German corporate income tax, and the after-tax earnings accumulated by Bestmark.
To calculate Jenson's U.S. tax on the gain, we need to determine the taxable income and apply the federal tax rate. The gain recognized from the sale of Bestmark stock is $6 million.
Since Bestmark is a wholly owned subsidiary, the gain is considered a dividend distribution from the subsidiary to the parent company. This dividend is subject to U.S. tax at the parent company's federal tax rate. However, Jenson has already paid German corporate income tax on the earnings of Bestmark.
To avoid double taxation, the U.S. allows a foreign tax credit to offset the U.S. tax liability on the dividend. Jenson can claim a foreign tax credit for the German corporate income tax paid by Bestmark.
The U.S. tax on the gain is calculated as follows:
U.S. Tax = Gain - (Foreign Tax Credit)
U.S. Tax = $6 million - (German Corporate Income Tax Credit)
The German corporate income tax paid by Bestmark is calculated as:
German Corporate Income Tax = After-Tax Earnings / (1 - German Tax Rate)
German Corporate Income Tax = $8.2 million / (1 - 45%)
German Corporate Income Tax = $8.2 million / 0.55
German Corporate Income Tax = $14.909 million
Foreign Tax Credit = German Corporate Income Tax * U.S. Tax Rate
Foreign Tax Credit = $14.909 million * 35%
Foreign Tax Credit = $5.221 million
Substituting the values into the U.S. tax calculation:
U.S. Tax = $6 million - $5.221 million
U.S. Tax = $0.779 million
Therefore, Jenson's U.S. tax on the gain from the sale of Bestmark stock is $0.779 million or $779,000.
Jenson's U.S. tax on the gain from the sale of Bestmark stock is $0.779 million. This calculation takes into account the federal tax rate, the foreign tax credit for German corporate income tax, and the after-tax earnings accumulated by Bestmark. By applying the appropriate tax treatments and credits, the tax liability on the gain is determined.
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In September of 2021, Gustav and Iris moved from Montana to California for Gustav's job. For the California return, all qualified moving requirements were met. They paid $495 for a rental truck, $98 for gas for the rental truck, and $23 for packing materials to move their personal property to California. They also paid $220 for lodging on the way, $20 for tolls, and $59 for meals. Gustav and Iris are allowed to deduct moving expenses on their California return in what amount?
$636
$743
$856
$915
Gustav and Iris are eligible to deduct moving expenses on their California return in the amount of $856. They meet the necessary requirements set by the IRS, including the close relation of the move to Gustav's new job in California and satisfying the distance test by moving at least 50 miles farther from their old home to the new job location.
To qualify for the moving expense deduction, taxpayers must meet certain criteria established by the IRS. First, the move must be closely related to starting work at a new or changed job location. In Gustav and Iris's case, their move from Montana to California is directly connected to Gustav's new job.
The distance test is another requirement. It consists of two parts: the distance between the old home and the new job location must be at least 50 miles greater than the distance from the old home to the previous job location. Gustav and Iris's move meets this criterion since they relocated from Montana to California.
Additionally, taxpayers must work full time at the new job location for at least 39 weeks in the 12 months following the move, or be self-employed in the same area for the same period. As long as Gustav fulfills this condition, they can proceed with claiming the moving expense deduction.
Considering their qualified move and meeting all the requirements, Gustav and Iris are entitled to deduct their actual moving expenses on their California return. They incurred various expenses related to the move, including $495 for a rental truck, $98 for gas, $23 for packing materials, $220 for lodging, $20 for tolls, and $59 for meals. The total amount spent on the move adds up to $915.
Therefore, they can deduct the entire amount of $915 as moving expenses on their California return, resulting in a deduction of $856.
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Company YYK uses Normal costing system which has two direct cost categories (direct material and direct manufacturing labor) and one indirect-cost category (manufacturing overhead). The following information is obtained for 2020: - Total manufacturing costs = $ 9,500,000 - Manufacturing overhead allocated = $ 4,200,000 (at a rate of 150 % of direct manufacturing labor costs) - WIP inventory 1/1/2020= $ 440,000 - Cost of finished goods manufactured = $ 8,250,000 (a) Calculate the direct manufacturing labor costs in 2020. (b) Cost of direct material used in 2020. (c) Calculate the ending WIP inventory on 31/12/2020.
Normal costing system is used by Company YYK which includes direct cost categories that are direct material and direct manufacturing labor and an indirect-cost category that is manufacturing overhead.
The provided information for 2020 is as follows:
Total manufacturing costs = $9,500,000Manufacturing overhead allocated = $4,200,000 (at a rate of 150% of direct manufacturing labor costs)WIP inventory 1/1/2020 = $440,000Cost of finished goods manufactured = $8,250,000(a) Calculation of the direct manufacturing labor costs in 2020:
Total manufacturing costs = Direct material + Direct manufacturing labor + Manufacturing overhead allocated$9,500,000 = Direct material + Direct manufacturing labor + $4,200,000Direct material + Direct manufacturing labor = $9,500,000 - $4,200,000Direct material + Direct manufacturing labor = $5,300,000Direct manufacturing labor = $5,300,000 - Direct materialHence, direct manufacturing labor costs in 2020 are $5,300,000 - Direct material.
(b) Calculation of the cost of direct material used in 2020:Direct material + Direct manufacturing labor = $5,300,000Direct manufacturing labor = $5,300,000 - Direct material$4,200,000 = 150% * Direct manufacturing labor costDirect manufacturing labor cost = $4,200,000 / 1.5Direct manufacturing labor cost = $2,800,000Direct material = $5,300,000 - $2,800,000Cost of direct material used in 2020 = $2,500,000(c) Calculation of the ending WIP inventory on 31/12/2020:Total manufacturing costs = Direct material + Direct manufacturing labor + Manufacturing overhead.
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Havana, Inc., has identified an investment project with the following cash flows. If the discount rate is 11 percent, what is the future value of these cash flows in Year 9? (Hint: Be careful with the number of periods, use a timeline to solve the problem.) The cash flows are as follows: 910 in year 1; 1140 in year 2; 1360 in year 3; and 2100 in year 4.
The total future value of the cash flows in Year 9 is $7,748.56. Therefore, the answer to the problem is $7,748.56.
To solve the problem, we can create a timeline and calculate the future value of each cash flow in Year 9. Given the cash flows of $910 in year 1, $1140 in year 2, $1360 in year 3, and $2100 in year 4, and a discount rate of 11 percent, we need to find the future value of these cash flows in Year 9.
To solve this problem, we can use the future value formula:
FV = PV × (1 + r)^n
Where:
FV is the future value
PV is the present value
r is the discount rate
n is the number of periods
Using this formula, we can find the future value of each cash flow in Year 9. First, we need to find the present value of each cash flow using the formula:
PV = CF ÷ (1 + r)^n
Where:
CF is the cash flow
r is the discount rate
n is the number of periods
By applying this formula, we can calculate the present value of each cash flow and then determine its future value using the future value formula. Finally, we can sum up the future values of all cash flows to find the total future value.
Therefore, the solution to the problem is as follows:
Year | Cash Flow | Present Value | Future Value
1 | $910 | $818.20 | $1,869.97
2 | $1,140 | $926.41 | $1,917.69
3 | $1,360 | $997.02 | $1,848.95
4 | $2,100 | $1,321.19 | $2,111.95
Total | $7,748.56 | | $7,748.56
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What is the economic trade-off of avoidance? How about the other treatments: Passive retention, retention with management, transfer by non-insurance contract and transfer by insurance?
In economics, trade-off avoidance is a critical idea. It refers to a scenario where one must choose between two options. By selecting one option, you will be forced to abandon the other. Avoidance, in this case, implies that you are foregoing the advantages of one alternative while taking the benefits of another.
Such an approach necessitates considerable cost in the short term, such as the implementation of workplace safety measures or the improvement of inventory management. However, by doing so, a company can save money in the long term by lowering the incidence of loss events, lowering insurance premiums, and maintaining a strong reputation.
Transfer by non-insurance contract entails a situation where risks are shifted to another entity through legal arrangements such as contracts. This form of transfer carries with it the disadvantage of requiring the provision of a considerable amount of collateral and a lack of flexibility. The high cost of obtaining collateral may make this transfer method unaffordable for many companies.
Finally, transfer by insurance involves the transfer of risk to an insurance provider. This approach enables a company to transfer its exposure to loss to an insurance provider who will then pay for any losses incurred. The disadvantage of this method is that it may result in higher premiums and a loss of control over the claims management process.
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A 25-year-old earns an average income and plans to retire in 40 years. The employee plans to begin making $5,000 annual contributions into an IRA. Which type of IRA is best for the employee, and why?
The best type of IRA for the 25-year-old employee who plans to retire in 40 years and make $5,000 annual contributions is a Roth IRA.
A Roth IRA would be the best choice for the 25-year-old employee due to several key advantages it offers:
1. Tax-Free Withdrawals in Retirement: Contributions to a Roth IRA are made with after-tax dollars, meaning the employee has already paid taxes on the money. As a result, the withdrawals made in retirement, including any investment earnings, are tax-free. This can provide significant tax advantages during retirement compared to a Traditional IRA.
2. Tax-Free Growth: Contributions to a Roth IRA can grow tax-free over time. Any investment gains, dividends, or capital appreciation within the account are not subject to taxation. This can lead to substantial growth over the long term, as the employee's contributions and earnings accumulate without incurring annual taxes.
3. Flexibility in Withdrawals: Unlike a Traditional IRA, which has required minimum distributions (RMDs) starting at age 72, a Roth IRA does not have RMDs during the account owner's lifetime. This provides greater flexibility in managing retirement income and allows the employee to control when and how much they withdraw from the account.
4. Potential Future Tax Benefits: Choosing a Roth IRA allows the employee to take advantage of potential future tax benefits. If tax rates increase in the future, as they often do, the employee would have already paid taxes on their contributions at today's lower tax rates. This can result in significant savings over time.
5. Estate Planning Benefits: Roth IRAs offer estate planning advantages, as they can be passed on to beneficiaries tax-free. This allows the employee to leave a tax-free inheritance to their heirs, who can continue to benefit from tax-free growth and withdrawals.
Considering the employee's age, long investment horizon, and the ability to make after-tax contributions, a Roth IRA is the best choice. It offers tax-free growth, tax-free withdrawals in retirement, flexibility in managing income, potential future tax benefits, and estate planning advantages. It is important for the employee to consult with a financial advisor or tax professional to fully understand the specific implications and determine the best approach based on their individual circumstances.
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Q.1. You donate $3000 to charities A, B and C in the ratio of
11:4:3. How much money did you donate to each charity?
Q.2. Your insurance company charges a premium of $2000
every quarter starting from beginning of a year. You started your insurance on Ist of February. How much would be your premium for the first quarter?
Q.3. How many Canadian dollars will you have to pay to purchase US$1500 if the bank charges a commission of 2.5% and the exchange rate for 1US$ is C$1.3241.
Q.4. Sam who lives in Canada purchased 5000 Australian dollars. After 5 days he decided to convert them back to CAD.
How much Canadian dollars did he lose if the bank charges a commission of 0.5% to sell and 0.75% to buy currencies.
Exchange rate-C$1= A$1.1167
Q.5. The List price of a product is $50 and its net price is $46.
What is the trade discount rate?
Q.1. Donated amounts: Charity A - $1833.33, Charity B - $666.67, Charity C - $500.
Q.2. Premium for the first quarter: $2000.
Q.3. Amount in Canadian dollars: C$1966.22.
Q.4. Loss in Canadian dollars: C$116.13.
Q.5. Trade discount rate: 8%.
Q.1. The amount donated to each charity can be calculated using the given ratio.
Charity A: (11/18) * $3000 = $1833.33
Charity B: (4/18) * $3000 = $666.67
Charity C: (3/18) * $3000 = $500
Q.2. Since the insurance premium is charged quarterly, the premium for the first quarter would be $2000.
Q.3. To calculate the amount in Canadian dollars to purchase US$1500, we need to consider the exchange rate and the bank commission.
US$1500 * (1 - 0.025) * C$1.3241 = C$1966.21825
Q.4. To calculate the loss in Canadian dollars when converting Australian dollars back to CAD, we consider the exchange rate and the bank commissions.
CAD to AUD: 5000 * (1 - 0.005) * A$1.1167 = A$5563.3175
AUD to CAD: A$5563.3175 * (1 - 0.0075) * C$1 = C$5447.19211
Loss: C$5563.3175 - C$5447.19211 = C$116.12539
Q.5. The trade discount rate can be calculated using the formula: (List price - Net price) / List price * 100.
Trade discount rate: ($50 - $46) / $50 * 100 = 8%.
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The manager of a pizza shop must forecast weekly demand for special
pizzas so that he can order pizza shells weekly. Recent demand has
been:
Week
No. of
Special Pizzas
1
50
2
65
3
53
The manager of a pizza shop must forecast weekly demand for special pizzas so that he can order pizza shells weekly. Recent demand has been recorded.
Week 1 had 50 special pizzas ordered, week 2 had 65 special pizzas ordered and week 3 had 53 special pizzas ordered. To forecast the weekly demand for special pizzas for the upcoming weeks, the manager must use a combination of quantitative and qualitative techniques. Some of these methods are moving averages, regression analysis, and the Delphi method. But for the purpose of this question, we can use the Simple Moving Average method. The simple moving average formula is given as follows:
SMA = ∑ Demand / NWhere SMA is the Simple Moving Average, Demand is the total number of special pizzas ordered, and N is the number of weeks. For this particular pizza shop, the forecasted demand for special pizzas for week 4 can be calculated using the simple moving average formula:
SMA = (50 + 65 + 53) / 3= 168 / 3= 56
SMA = (65 + 53 + 56) / 3= 174 / 3= 58
The forecasted demand for special pizzas for week 5 is 58. And so on. The simple moving average method is useful when there is a steady demand for products, but it may not be accurate when demand is changing rapidly. In such cases, other methods may be more appropriate.
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You have just received notification that you have won the $3 million first prize in the Centennial Lottery. However, the prize will be awarded on your 100 th birthday (assuming you're around to collect), 60 years from now. What is the present value of your windfall if the appropriate discount rate is 10 percent? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) You are scheduled to receive $14,000 in two years. When you receive it, you will invest it for eight more years at 9.5 percent per year. How much will you have in ten years? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Assume the total cost of a college education will be $300,000 when your child enters college in 18 years. You presently have $63,000 to invest. What annual rate of interest must you earn on your investment to cover the cost of your child's college education? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) You're trying to save to buy a new $204,000 Ferrari. You have $54,000 today that can be invested at your bank. The bank pays 6.2 percent annual interest on its accounts. How long will it be before you have enough to buy the car? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
The present value of the winfall at 10% interest rate can be calculated as follows;PV = FV / (1 + r)n where PV = present value FV = future value (3,000,000)rn = rate of interest per period, where n is the number of periods. In this case, n = 60 years and r = 10%.Therefore, PV = 3,000,000 / (1 + 0.1)60 = $23,365.52
2. The future value of the $14,000 after 8 years is;FV = 14,000(1 + 0.095)8 = $26,303.23This means that after ten years of the investment, the value of the investment will be the future value plus the $14,000 initial investment.FV = 26,303.23 + 14,000 = $40,303.23.
3. The present value of $300,000 in 18 years at a certain interest rate can be calculated as follows;PV = FV / (1 + r)n where PV = present value FV = future value r = rate of interest per period n = number of periods. In this case, FV = $300,000, n = 18 and PV = $63,000.Therefore;PV = 63,000 = 300,000 / (1 + r)18. Rearranging and solving for r, we get;r = (300,000 / 63,000)1/18 - 1 = 0.0734 = 7.34%Therefore, the required annual rate of interest is 7.34%.
4. To find out how long it will take for the investment to grow to $204,000 at a 6.2% interest rate, we can use the following formula;FV = PV(1 + r)n; where PV = present value. FV = future valuer = rate of interest per period n = number of periods. In this case, PV = $54,000, r = 6.2% and FV = $204,000. Therefore,$204,000 = $54,000(1 + 0.062)n
Dividing both sides by $54,000 and solving for n, we get;n = (log 4.0) / (log 1.062)=24.55. Therefore, it will take approximately 24.55 years for the investment to grow to $204,000.
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