In the above game, there are two players, Worker 1 and Worker 2. Both can apply to only one firm. Each firm has one job opening. Suppose w1 and w2 satisfy 1/2w1 < w2 < 2w1. Nash equilibrium is a set of strategies, one for each player, such that each player's strategy is a best response to the other player's strategy
This indicates that w2, the wage offered by firm 2, is greater than w1/2, the wage offered by firm 1 and is less than 2w1, twice the wage offered by firm 1. Let the strategies of Worker 1 be 1 and 2, indicating the choice of firms. Similarly, let the strategies of Worker 2 be 1 and 2, indicating the choice of firms. The game can be represented as follows: Let us now find out the Nash equilibria of the game. A. In this game, there are two pure Nash equilibria: (W1 applies to firm 1 and W2 applies to firm 2) and (W1 applies to firm 2 and W2 applies to firm 1).When both players choose the strategy (1,2), Worker 1 gets w1/2 and Worker 2 gets w2. When both players choose the strategy (2,1), Worker 1 gets w2 and Worker 2 gets w1. Both these strategies are Nash equilibria since both the players are playing their best response to each other. No player can do better by changing their strategy unilaterally.
Hence, the Nash equilibria of the given game are: (W1 applies to firm 1 and W2 applies to firm 2), and (W1 applies to firm 2 and W2 applies to firm 1).
The payoffs of the game are as follows:f1 f2
f1 w1/2,w1/2 w1,w2
f2 w2,w1 w2/2,w2/2
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Question 7 1 3 4 5 6 7 Last Year Current Year Policy Table QTY Qty Rating Allowance Qty 562900 3 1 0.70% $ 0.75 2 2.50% $ 3 1.30% $
The given information pertains to the policy table of an organization that gives the quantity, quantity rating, allowance, and quantity for the current year.
The policy table is a set of rules that an organization makes to decide on various matters. Policy tables can be made for almost anything. Policy tables are usually made for financial matters so that the financial management of the organization is properly organized.In the given policy table, the first column is QTY which stands for the quantity. The next column is the Qty rating which is the rating of the quantity provided. The allowance is the amount of allowance given for the quantity, and the last column is the Qty which is the rating for the quantity.
Each row in the policy table represents a certain amount of quantity and its rating, the allowance, and the rating given for that quantity. The first row of the table represents the quantity 562900, with the Qty rating of 3, allowance of 0.70%, and Qty rating of $0.75.The second row represents the quantity of 3, with the Qty rating of 1, allowance of 2.50%, and Qty rating of $3. The third row represents the quantity of 1, with the Qty rating of 3, allowance of 1.30%, and Qty rating of $1.
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Need help explaining one specific company with the monopolistic
market with it's characteristics related to such market
structure.
A monopolistic market structure is one in which there are numerous companies producing similar goods or services but each has a certain degree of market power. One company that can be considered to have a monopolistic market is Nike Inc. Nike is a well-known sports apparel and footwear company that has been around since 1964.
Its market power is a result of its strong brand recognition and reputation for producing high-quality products. Nike has a monopolistic market structure because it has a significant market share, making it difficult for new competitors to enter the market. One of the main characteristics of a monopolistic market structure is product differentiation. Nike has been able to differentiate its products from its competitors through innovative designs and technology, resulting in a unique brand image. This differentiation allows Nike to charge higher prices than its competitors. Nike's pricing strategy is a result of its ability to control the supply of its products. By limiting the number of products available, Nike can charge a premium price for its products.
In conclusion, Nike is an example of a company with a monopolistic market structure due to its strong brand image, product differentiation, and pricing strategy. Its market power allows it to dominate the sports apparel and footwear industry, making it difficult for new competitors to enter the market.
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Chris's Outdoor Furniture, Inc., has net cash flows from operating activities for the last year of $370 million . The income statement shows that net income is $345 million and depreciation expense is $47 million. During the year, the change in inventory on the balance sheet was $37 million, change in accrued wages and taxes was $17 million, and change in accounts payable was $28 million. At the beginning of the year, the balance of accounts recelvable was $47 million Calculate the end-of-year balance for accounts receivable. (Enter your answer in millions of dollars.)
At the beginning of the year, the balance of accounts receivable was $47 million. $51 million is the amount at the end-of-year balance for accounts receivable.
Net cash flow from operating activities = $370 million.
Net income = $345 million
Depreciation expense = $47 million
Change in inventory = $37 million
Change in accrued wages and taxes = $17 million
Change in accounts payable = $28 million
Balance of accounts receivable at the beginning of the year = $47 million
We are to calculate the end-of-year balance for accounts receivable. The formula to calculate net cash flow from operating activities is:
Net cash flow from operating activities = Net income + non-cash expenses - Changes in working capital
Substituting the given values:370 = 345 + 47 - (change in inventory + change in accrued wages and taxes - change in accounts payable) 370 = 345 + 47 - (37 + 17 - 28)370 = 345 + 47 - 26 (37-28 = 9)370 = 366.
The end-of-year balance for accounts receivable is $51 million (in millions of dollars).
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The variance report showing planned versus actual expenditures is an example of Select one: O a. Tax accounting O b. Managerial accounting O c. Financial accounting O d. None of the above
The variance report showing planned versus actual expenditures is an example of managerial accounting. Managerial accounting is the process of collecting, analyzing, and presenting financial data in a way that helps managers make informed decisions.
This information is used to set budgets, create forecasts, measure performance, and identify opportunities to improve efficiency or profitability. Managerial accounting is an essential tool for businesses of all sizes and industries, as it provides the financial information that managers need to run their organizations effectively.Variance reportVariance is the difference between the planned or budgeted amount and the actual amount of an item.
A variance report is a summary of the differences between the actual results of a business and the planned or budgeted results for a period of time. The report is used to identify the reasons for the differences between the actual and budgeted amounts and to provide recommendations for corrective action.Planned versus actual expendituresThe variance report showing planned versus actual expenditures compares the planned or budgeted expenditures with the actual expenditures for a period of time. It highlights the differences between the planned and actual expenditures and provides recommendations for corrective action. This report is an essential tool for managers to monitor the financial performance of their organizations and to take corrective action if needed.In conclusion, the variance report showing planned versus actual expenditures is an example of managerial accounting.
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Jose and Rosa are looking for a condo. Their combined gross annual income is $71,000. The best mortgage rate offered by their bank is a 2.91 percent, five-year fixed rate compounded semi-annually with a 20 -year amortization. The annual property taxes are estimated at $1,570, and the annual heating costs are $1,590. Their personal debt consumption is $800 per month. Condo fees are estimated at $500 per month. The bank's guideline for TDS is 50 percent. Based on this information, what is the maximum monthly mortgage payment they could afford? The maximum monthly mortgage payment they could afford is $ (Round to the nearest cent.)
Jose and Rosa's maximum monthly mortgage payment they can afford is $1,395, considering their gross annual income of $71,000, TDS ratio of 50%, and various housing expenses and debts. The mortgage rate is 2.91% compounded semi-annually with a 20-year amortization.
Given data: Gross annual income of Jose and Rosa = $71,000.Mortgage rate offered by the bank = 2.91 percent. Compounded semi-annually with a 20-year amortization. Annual property taxes = $1,570.
Annual heating costs = $1,590.Personal debt consumption = $800 per month. Condo fees = $500 per month. Bank's guideline for TDS is 50 percent. The TDS ratio is used to determine the maximum mortgage payment that the borrower can afford. It is the percentage of the borrower's gross income that can be spent on housing expenses, including principal, interest, taxes, and insurance. According to the bank's guideline, the TDS ratio should be less than or equal to 50 percent.
The formula to calculate the maximum mortgage payment is: Maximum mortgage payment = (Total gross income x TDS ratio - Annual property taxes - Annual heating costs) / 12 - Personal debt consumption - Condo fees
Now, let us calculate the maximum mortgage payment. Maximum mortgage payment = (71,000 x 0.5 - 1,570 - 1,590) / 12 - 800 - 500= (35,500 - 1,570 - 1,590) / 12 - 800 - 500= 32,340 / 12 - 800 - 500= 2,695 - 800 - 500= $1,395
Therefore, the maximum monthly mortgage payment they could afford is $1,395 (Round to the nearest cent).
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Which of the following statements is CORRECT? a. If a company has two classes of common stock, Class A and Class B, the stocks may pay different dividends, but under all state charters the two classes must have the same voting rights. b. The free cash flow valuation model, Vops O
=FCF /WACC - gl, can be used only for firms whose growth rates exceed their WACC. C. The preemptive right gives stockholders the right to approve or disapprove of a merger between their company and some other company. d. The preemptive right is a provision in the corporate charter that gives common stockholders the right to purchase (on a pro rata basis) new issues of the firm's common stock. e. The free cash flow valuation model, V cps
=FCFI (WACC - g), cannot be used for firms that have negative growth fates.
The correct statement from the following is: d. The preemptive right is a provision in the corporate charter that gives common stockholders the right to purchase (on a pro rata basis) new issues of the firm's common stock.
What is a preemptive right?The preemptive right is the right of existing shareholders of a corporation to buy a proportionate share of any new stock issuance until the percentage of the shareholder's equity ownership is preserved.
Preemptive rights allow shareholders to maintain their relative interest in the corporation over time and avoid dilution of their ownership percentage.
Hence, option d. is correct.
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"
5. On the day a child is born, an amount is deposited into an investment that earns \( 5 \% \) interest. An equal amount is deposited on each of the child's subsequent 18 birthdays. After the final pa
"
When a child is born, an amount is deposited into an investment that earns 5% interest. An equal amount is deposited on each of the child's subsequent 18 birthdays.
After the final payment is made, the account has a balance of $10,000. So, we have to determine the amount deposited each time and also find the amount deposited on the child’s first birthday.
We will use the following formula to solve this problem: $$ A=P\left(1+r\right)^n $$Where A represents the account balance, P represents the principal or amount deposited, r represents the interest rate, and n represents the number of years the money is invested.
Here, r is 5% and n is 18 years. We know that equal amounts are deposited at the beginning of each year. Let's call this amount 'x'. Hence, we can write the equation as:
[tex]$$10000=x(1+0.05)^{18}+x(1+0.05)^{17}+\cdots +x(1+0.05) +x$$[/tex]
This is an arithmetic series with the first term x(1+0.05) and the last term x(1+0.05)18, and there are 18 terms.
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Jane's marginal beneft per day from drinking coke is given in the table below. This shows that she values the first coke she drinks at $1.20, the second at $1.15, and so on. If the price of coke is $1.00, the marginal cost Jane is facing is: $1.20 $1.15 $0.95 $1.00 50.60
If a can of coke costs $1, Jane will pay a marginal cost of $1.15. Therefore, choice (B) is right.
The marginal benefit is definitely declining as can be observed in the table. For the first drink, Jane is ready to spend more than she would for the second, and so on. We must weigh Jane's marginal benefit against the marginal cost at each level in order to determine the ideal amount of Cokes she should buy. The marginal cost of Jane is $1.
The marginal gain for Jane when she drinks the first Coke is $1.20. Jane should purchase 1 coke since the marginal benefit exceeds the marginal cost.
The marginal gain for Jane when she drinks the second Coke is $1.15. Again, Jane should purchase the second can of soda since marginal benefit is greater than marginal cost. Jane drinks her third Coke, and her marginal benefit is equal to $0.95
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If the price of coke is $1.00, the marginal cost Jane is facing is $0.95.
Marginal benefit is an economic term that refers to the additional satisfaction or utility that a consumer receives from consuming an additional unit of a good or service. As Jane's marginal benefit per day from drinking coke is given in the table below, which shows that she values the first coke she drinks at $1.20, the second at $1.15, and so on. If the price of coke is $1.00, the marginal cost Jane is facing is $0.95.
Marginal benefit is the increase in overall benefit a consumer receives from consuming one more unit of a good or service. It's calculated by determining the change in total utility divided by the change in quantity consumed. The marginal benefit Jane receives from consuming coke is given below:
Drinks Marginal Benefit of Drinks
1 $1.202$1.153$1.104$1.055$1.006$0.957$0.908$0.859$0.80
Therefore, if the price of coke is $1.00, the marginal cost Jane is facing is $0.95.
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Question 1
Lean Six Sigma can improve the efficiency of processes, improve the quality of service to citizens, and reduce the costs of providing these services. The author of this case study worked with a local government’s financial administration department to implement Lean Six Sigma. The goal of the project was to streamline the processes and subsequently reduce the financial process cycle time. The city is a 7000-citizen municipality in the state of New York. It is a city manager form of government where the city manager manages the city employees and implements policy defined by the mayor and city council members. The finance director reports to the city manager and is responsible for developing and managing the financial budgets, the financial processes, the mayor’s court processes, income tax collection, utility billing, and collection processes.
The financial processes include payroll, purchasing and accounts payable, accounts receivable, monthly reconciliation, and budgeting. The finance clerk generates paychecks for administrative personnel, the police department, the fire department, the public works department, and the city council. The International Union of Fire Fighters (IUFF) represents the firefighters who require union dues to be held from the members’ pay once a month to be submitted to the union. The processing also includes pension matching, making pension payments, and reporting. The payroll department also processes income tax payments, garnishments, child support, and other withholdings to the appropriate agencies. Employees receive paychecks every two weeks. Pension reporting is performed on a monthly basis. The customers of the payroll process are internal city employees and external agencies that receive withholding payments and reports. The financial director realizes that the current processes, with respect to the processes before the Lean Six Sigma program is implemented, are inefficient, error-prone, lengthy, and have an extensive
number of nonvalue-added steps. The entire payroll, pension reporting, and withholding payment process takes 13-70 employee hours per pay period, depending on if information processing problems occur.
The purchasing and accounts payable processes enable city personnel to purchase materials, products, and services to run the city. Purchase requisitions are generated by personnel. The finance clerk generates the purchase order, which is then approved by the city manager, the finance director, and the city council, if necessary. Invoices are received by the finance director and processed by the finance clerk, with the appropriate approvals and signatures. Payments to vendors are frequently late. Multiple invoices for the same payment are frequently received and must be reviewed to determine if they have been paid.
The up-front purchasing process takes approximately 7-10 days to generate and approve the purchase orders after the approved purchase requisition is received. The purchase orders are filed until the invoices are received. The entire accounts payable process takes approximately two weeks to process a batch from initial invoice receipt to vendor payment.
The finance clerk records revenue receipts and deposits revenue checks into the bank. In the current process, there is a lag between when the revenue checks are received in the finance department and when they are entered into the financial system and deposited into the bank due to process inefficiencies and workload capacity issues.
The finance clerk is responsible for reconciling the financial records on a monthly basis. Reconciliation includes comparing the bank statements for the payroll account, a general account, and several investment accounts, to the financial system entries. Due mainly to process inefficiencies or workload capacity issues (or both), monthly reconciliation currently is rarely performed in a timely manner. Sometimes the finance director reconciles the books and other times it is outsourced to an accountant. The finance director is responsible for managing the budgeting process throughout the city. He receives budget requests from department managers, consolidates them into a city budget, prepares budget reports for state and county agencies, and makes budget journal entries into the financial information system.
The finance director is also responsible for ensuring that expenditures are within the approved budgets, as well as providing budget information to city management. There are some training issues with respect to using the financial system for budgeting, as well as duplicate data entry into multiple information systems. The financial information system is also limited with respect to a user-friendly ad-hoc budget reporting system.
Lean Six Sigma is a well-known methodology that can increase process efficiency, enhance service quality for citizens, and reduce service delivery expenses.
Administrative personnel, police officers, fire personnel, public works employees, and city council members are all paid through the payroll process. Payroll departments also handle pension payments, tax payments, and withholdings. These paychecks are issued every two weeks. The finance clerk is in charge of making revenue deposits and reconciling monthly financial records.
The finance director is responsible for preparing budget reports, making budget entries into the financial system, and making sure expenditures are within the approved budgets, among other things. As a result of process inefficiencies or workload capacity problems (or both), the finance department is currently underperforming. Therefore, implementing Lean Six Sigma principles can help them streamline processes, reduce non-value-added procedures, and reduce cycle times.
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In the expenditure approach to calculating GDP, we add consumption, investment, government spending and net exports. In a few sentences, explain the components of net exports and why each is added or subtracted from GDP.
Net exports represent the difference between a country's exports and imports. It is added or subtracted from GDP to account for the impact of international trade on the economy.
Exports (goods and services sold to other countries) are added to GDP because they represent domestic production contributing to economic output and income. Exported goods and services generate revenue and employment within the country.
On the other hand, imports (goods and services purchased from other countries) are subtracted from GDP. This is because imports represent spending on foreign-produced goods and services, which are not part of domestic production. Subtracting imports ensures that only the value of domestically produced goods and services is included in the calculation of GDP, accurately reflecting the economic activity within the country's borders.
By accounting for net exports, the expenditure approach captures the impact of international trade on a country's GDP and provides a comprehensive measure of the overall economic activity and output.
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Why does heavy overhead cost lead to cutthroat
competition?
Heavy overhead costs can trigger cutthroat competition, leading to price reductions, financial losses, decreased product quality, and market instability, ultimately harming companies and consumers alike.
This creates a situation where companies are constantly undercutting each other, which can lead to a race to the bottom in terms of pricing. However, reducing prices without a corresponding increase in sales volume or profit margins can ultimately lead to financial losses and bankruptcy for some companies.
Therefore, companies that are unable to keep up with the price reductions may be forced to exit the market altogether or engage in aggressive cost-cutting measures, such as reducing employee wages or benefits, in order to stay afloat.
Furthermore, cutthroat competition can also lead to a deterioration in product quality as companies seek to cut costs wherever possible. This can further erode consumer trust and loyalty, making it even more difficult for companies to maintain their market position. Overall, heavy overhead costs can create a challenging and unsustainable business environment, which can ultimately lead to cutthroat competition and negative outcomes for all involved.
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Project A has an expected duration of 48 days and a standard deviation of 4 days. What is the probability of completing the project within 56 days ?
The probability of completing Project A within 56 days is approximately 0.9772 or 97.72%.
To determine the probability of completing Project A within 56 days, we can use the concept of standard deviations and the normal distribution.
Given that the expected duration of Project A is 48 days and the standard deviation is 4 days, we can assume that the project duration follows a normal distribution with a mean of 48 and a standard deviation of 4.
To calculate the probability of completing the project within 56 days, we need to find the area under the normal distribution curve between 48 and 56 days. This area represents the probability of completing the project within that time frame.
First, we calculate the z-score, which measures the number of standard deviations a value is from the mean. The formula for the z-score is:
z = (x - μ) / σ
where x is the desired value (56 days in this case), μ is the mean (48 days), and σ is the standard deviation (4 days).
Substituting the values into the formula, we get:
z = (56 - 48) / 4
z = 2
Next, we can use a standard normal distribution table or a statistical calculator to find the probability associated with a z-score of 2. From the table, we find that the probability of a z-score of 2 or less is approximately 0.9772.
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The Fresh Connections makes a special run of Orange/Mango juice with extra Vitamin C each week of the summer for sports camps. They complete this run as a special weekend shift producing 6906 cases PET bottles of the special juice to meet their demand for the camps. They need workers to come in to load the filled PET bottles into the special cases used for the sports camps. They run a special shift of 6 hours. On average, a worker can package 119 cases per hour worked. Your policy is that all workers will work a full shift with the exception of one worker that will just make up the difference to get to the cases needed for the week, i.e., you can have a fractional person if they aren't needed to work a full shift. Your workers have indicated that they believe they should get paid for a full shift even if they aren't needed for the full shift. If you pay the workers $11.94 per hour, how much more will it cost for an average week if you agree to pay all of the workers for the full shift?
In the proposed scenario you will need to round up the number of workers to a full worker. Don't round anything else until you reach the end of the problem and then round to two (2) decimal places.
To calculate the cost difference of paying all workers for a full shift, we need to determine the number of workers required to meet the packaging demand for 6906 cases of PET bottles. it would cost approximately $11.94 more for an average week.
Number of cases produced per hour per worker = 119
Number of hours per shift = 6
Number of cases needed for the week = 6906
First, calculate the total number of worker-hours required to package the cases:
Total worker-hours = Number of cases needed / Number of cases produced per hour per worker
Total worker-hours = 6906 / 119 ≈ 58.06
Since you need to round up the number of workers to a full worker, round the total worker-hours up to the nearest whole number:
Total worker-hours rounded up = 59
To find the number of workers needed, divide the rounded total worker-hours by the number of hours per shift:
Number of workers needed = Total worker-hours rounded up / Number of hours per shift
Number of workers needed = 59 / 6 ≈ 9.83
Since you can't have fractional workers, round up the number of workers to a full worker:
Number of workers needed rounded up = 10
Now, let's calculate the cost difference between paying workers for a full shift and the actual number of worker-hours required:
Cost per worker per shift = $11.94
Number of workers paid for a full shift = 10
Number of hours per shift = 6
Total cost for paying workers for a full shift = Cost per worker per shift * Number of workers paid for a full shift * Number of hours per shift
Total cost for paying workers for a full shift = $11.94 * 10 * 6 = $716.40
The cost difference is the total cost for paying workers for a full shift minus the actual cost for the actual number of worker-hours required:
Cost difference = Total cost for paying workers for a full shift - (Cost per worker per shift * Total worker-hours rounded up)
Cost difference = $716.40 - ($11.94 * 59) ≈ $716.40 - $704.46 ≈ $11.94
Therefore, if you agree to pay all workers for a full shift, it would cost approximately $11.94 more for an average week.
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Individual Assignment 4 - Changing Federal Funds Rate In Week 3 we considered expanding our fleet to include luxury cars. As soon as we made that decision, the Federal Reserve announced they planned to raise the key rate. How does this announcement impact our purchasing decision? What are the implications of the Fed's action on our future demand? Provide your thoughts on this issue.
The decision of expanding the fleet to include luxury cars may not be a wise one when the Federal Reserve has announced to raise the key rate.
The Federal Reserve can raise the key rate in order to control the inflation rate in the country. The demand for luxury cars will go down if the Federal Reserve raises the key rate.
As a result, the implications of the Fed's action on the future demand for luxury cars may not be good. In fact, the demand for these cars may reduce in the future as more people will avoid making such purchases in order to save money.
Hence, the luxury car dealers may also face a loss in their businesses. Furthermore, higher interest rates may increase the cost of borrowing. As a result, the company may have to pay more for loans which may make it difficult for them to expand their business.
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Product A is assembled purely using manual assembly process. The standard time for the product is 42 min per unit. The company is currently employing 11 operators and having a working period of 9 hours per day with 20 days per month. The company is planning to produce 3110 units of output per month. The overtime is executed 3 hours every day and limited to only 15 days per month. Overtime payment rate is RM15 per hour. Evaluate the situation using standard time approach and propose the number of operators per day required for overtime work to meet the production output.
The manual assembly process refers to the type of work done by hand, using manual tools and equipment. In this type of assembly, there is a high degree of flexibility and control over the finished product. A product A is assembled purely using the manual assembly process. The standard time for the product is 42 min per unit.
The company is currently employing 11 operators and having a working period of 9 hours per day with 20 days per month. The company is planning to produce 3110 units of output per month. The overtime is executed 3 hours every day and limited to only 15 days per month. The overtime payment rate is RM15 per hour as per manual assembly process
Here we have to find the number of operators required per day for overtime work to meet the production output. So, let's calculate the total working hours first. Total working hours per month:11 operators * 9 hours * 20 days = 1980 hours. Total working hours including overtime:1980 hours + 3 hours * 15 days = 2025 hours. Overtime payment per month:3 hours * 15 days * RM 15 = RM 675. Standard time required for producing 3110 units of product A:42 minutes * 3110 units / 60 minutes = 2174 hours. A total number of hours required per month including overtime:2025 hours + 2174 hours = 4199 hours.
Now, we have to calculate the number of operators required for producing 3110 units of product A.Total number of hours required for producing 3110 units:2174 hours. Number of operators required per month:2174 hours / (9 hours * 20 days) = 12.078...Approximately 13 operators are required for producing 3110 units of product A per month.
Let's calculate the number of operators required for overtime work to meet the production output.Number of operators required for overtime work: Number of overtime hours / working hours per operator. Number of overtime hours:675 RM / RM 15 per hour = 45 hours.
Working hours per operator:9 hours * 20 days = 180 hours. A number of operators required for overtime work:45 hours / 180 hours per operator = 0.25 operators. One operator is required for overtime work to meet the production output.
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You deposit $ 540 in a savings account paying 4.2 % simple interest. How much interest will you earn in 3 years? How much is in the account at the end of 3 years?
You deposit $540 in a savings account paying 4.2% simple interest. At the end of 3 years, there will be $608.04 in the account
To calculate the interest earned in 3 years, you can use the formula: Interest = Principal x Rate x Time. In this case, the principal is $540, the rate is 4.2%, and the time is 3 years. Interest = $540 x 0.042 x 3 = $68.04 Therefore, you will earn $68.04 in interest over 3 years. To find out how much will be in the account at the end of 3 years, you can add the interest earned to the principal. Amount at the end of 3 years = Principal + Interest = $540 + $68.04 = $608.04 So, at the end of 3 years, there will be $608.04 in the account.
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(iii) For hedging purpose, the client is of the opinion that the
delta normal method is the most appropriate method. Advise the
client on the appropriateness of the method.
The appropriateness of the delta normal method for hedging purposes depends on the client's risk profile and the characteristics of their portfolio.
The delta normal method is a commonly used approach in risk management and hedging strategies. It involves estimating the change in the value of a portfolio or position based on changes in the underlying asset's price, as represented by the delta.
While the delta normal method can provide a simplified and efficient way to estimate portfolio risk, it also has certain limitations that need to be considered. One of the main limitations is that it assumes a linear relationship between the underlying asset's price and the portfolio's value. This assumption may not hold in cases of extreme market movements or when there are non-linear risk factors involved.
Additionally, the delta normal method relies on the assumption of normal distribution for the underlying asset's price movements. In reality, financial markets often exhibit non-normal and sometimes fat-tailed distributions, which can lead to underestimation or overestimation of risk.
Therefore, it is important for the client to be aware of these limitations and assess whether they are appropriate for their specific hedging needs. If the client's portfolio or position is subject to significant non-linear risks or if the underlying asset's price distribution deviates significantly from normality, alternative methods such as Monte Carlo simulation or other advanced risk models may be more appropriate.
Ultimately, the suitability of the delta normal method depends on the client's risk tolerance, the complexity of their portfolio, and their specific hedging objectives. It is recommended that the client consults with a financial professional or risk management expert to assess the appropriateness of the method in their particular context.
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Suppose that Mr. A buys a December European call option on June 15, If in November the price of the underlying asset S is greater than K. Mr. A can exercise the option. o True o False
True. Mr. A can exercise the option and take advantage of the price difference by purchasing the underlying asset at the strike price specified in the option contract.
If Mr. A buys a December European call option on June 15 and the price of the underlying asset S is greater than the strike price K in November, Mr. A can exercise the option. This is because a European call option gives the holder the right to buy the underlying asset at the strike price on the expiration date.
In this scenario, if the price of the underlying asset S is higher than the strike price K in November, it means that the option is "in the money" because exercising the option would allow Mr. A to buy the asset at a lower price than the market value. As a result, Mr. A can exercise the option and take advantage of the price difference by purchasing the underlying asset at the strike price specified in the option contract. Therefore, the statement "True" accurately represents the situation.
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Suppose that the long-run price elasticity of demand for gasoline is −0.60. Assume that the price of gasoline is currently $4.00 per gallon, the quantity of gasoline is 140 billion gallons per year, and the federal government decides to increase the excise tax on gasoline by $1.00 per gallon. Suppose that in the long run the price of gasoline increases by $0.70 per gallon after the $1.00 excise tax is imposed. a. Using the midpoint formula, after the tax is imposed, the new quantity of gasoline demanded is billion gallons per year. (Enter your response rounded to two decimal places.) In the long run, the tax reduces the consumption of gasoline by billion gallons per year. (Enter your response rounded to two decimal places.) b. The amount of tax revenue the federal government receives from the tax is $ billion. (Enter your response rounded to two decimal places.) c. Compared to the short-run effect of an increase in the excise tax on gasoline, the long-run effect of an increase in the excise tax has a ____ effect on the quantity demanded of gasoline; it reduces consumption of gasoline by a _____ amount; and it generates a _____ tax revenue for the federal government. A. larger, larger, smaller B. larger, smaller, smaller C. smaller, smaller, Iarger D. smaller larger, smaller
Suppose that the long-run price elasticity of demand for gasoline is -0.60. Assume that the price of gasoline is currently $4.00 per gallon, the quantity of gasoline is 140 billion gallons per year, and the federal government decides to increase the excise tax on gasoline by $1.00 per gallon.
a. Using the midpoint formula, after the tax is imposed, the new quantity of gasoline demanded is 113.333 billion gallons per year.
The midpoint formula is used to calculate the new quantity demanded of gasoline as follows:
Percentage change in quantity demanded = [(Q2 - Q1) ÷ [(Q1 + Q2) ÷ 2]] × 100,
where Q1 = original quantity demanded = 140 billion gallons
Q2 = new quantity demanded = ?
% change in quantity demanded = [(Q2 - Q1) ÷ [(Q1 + Q2) ÷ 2]] × 100 = -60% (using the long-run price elasticity of demand for gasoline)
We also know that the price of gasoline increases by $0.70 per gallon after the $1.00 excise tax is imposed. Therefore, the new price of gasoline is $4.00 + $1.00 + $0.70 = $5.70 per gallon.
So, we can use the original price ($4.00) and the new price ($5.70) to calculate the percentage change in price as follows:
% change in price = [(P2 - P1) ÷ [(P1 + P2) ÷ 2]] × 100 = [(5.70 - 4.00) ÷ [(5.70 + 4.00) ÷ 2]] × 100 = 41.67%
Then, we can use the price elasticity of demand to calculate the percentage change in quantity demanded as follows:
% change in quantity demanded = (price elasticity of demand) × (% change in price) = -0.60 × 41.67% = -25%
Therefore, the new quantity demanded is given by:
Q2 = Q1 × (1 + % change in quantity demanded) = 140 billion gallons × (1 - 0.25) = 113.333 billion gallons per year
The new quantity demanded is 113.333 billion gallons per year, rounded to two decimal places.
b. The amount of tax revenue the federal government receives from the tax is $40 billion.
The amount of tax revenue can be calculated as follows:
Amount of tax revenue = tax per unit × quantity demanded of gasoline = $1.00 × 113.333 billion gallons per year = $113.333 billion per year
The tax revenue is $113.333 billion per year, rounded to two decimal places.
c. Compared to the short-run effect of an increase in the excise tax on gasoline, the long-run effect of an increase in the excise tax has a smaller effect on the quantity demanded of gasoline; it reduces consumption of gasoline by a larger amount; and it generates a larger tax revenue for the federal government. Therefore, option (A) is the correct answer.
The reason why the long-run effect is smaller on the quantity demanded of gasoline is that consumers have more time to adjust their behavior in the long run, such as by purchasing more fuel-efficient vehicles or by using public transportation.
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Explain why you may need an understanding of legislative frameworks when applying critical thinking skills to develop solutions to workplace problems
When applying critical thinking skills to develop solutions to workplace problems, it is essential to have an understanding of legislative frameworks. Legislative frameworks are important because they outline the legal requirements and guidelines that govern workplace policies and procedures.
A clear understanding of these frameworks is necessary to ensure that any solutions developed adhere to legal requirements and are ethical and responsible. This ensures that any decisions made are fair, lawful, and consistent. Moreover, having an understanding of legislative frameworks will help in preventing any legal implications and avoid the company from facing any lawsuits and penalties.
This is essential to maintain the reputation and sustainability of the company. Therefore, when applying critical thinking skills to develop solutions to workplace problems, a thorough understanding of legislative frameworks is critical to ensuring that the solutions are sound, practical, and comply with legal requirements.
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This exercise contains only parts b,c, and d. b) The activities on the critical path are c) The total project completion time for Rafay Ishfaq's software firm is 9 weeks. (Enter your response as a whole number.) d) Determine the slack time for each of the activities. (Enter your responses as whole numbers.) What is the total slack for the non critical path(s) in the project? week(s) (Enter your response as a whole number.)
Given that the exercise contains only parts b, c, and d.b) The activities on the critical path are Activities Activity time (in weeks)Start - A 0A - B 4B - C 2C - D 6D - End 0
The critical path is A-B-C-D. Activities on the critical path are B-C. The critical path is the longest path in the network diagram. The critical path has the least slack time. If there is any delay in the critical path activities, there will be a delay in the project completion time. c) The total project completion time for Rafay Ishfaq's software firm is 9 weeks. (Enter your response as a whole number.)From the network diagram, the total project completion time for Rafay Ishfaq's software firm is 9 weeks.
The total project completion time is the time taken to complete all the activities in the project network diagram. d) Determine the slack time for each of the activities. (Enter your responses as whole numbers.)Slack time = Latest start time - Earliest start time or Latest finish time - Earliest finish time.Activities Earliest start time Latest start time Earliest finish time Latest finish time Slack time Start 0 0 0 0 0 A 0 0 4 4 4 B 4 4 6 6 0 C 6 6 12 12 6 D 12 12 18 18 0 End 18 18 18 18 0The slack time for each of the activities is as follows;Activities Slack time Start 0 A 4 B 0 C 6 D 0 End 0
The total slack for the non-critical path(s) in the project is as follows;Total Slack = Slack time for path ABDE + Slack time for path ACFETotal Slack = 4 + 6Total Slack = 10Therefore, the total slack for the non-critical path(s) in the project is 10 weeks.
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To determine the critical path, you need to construct a network diagram and calculate the earliest start time (EST) and latest finish time (LFT) for each activity.
a) Critical Path: The critical path consists of activities that have zero slack time, meaning any delay in these activities will directly impact the project's overall duration. To determine the critical path, you need to construct a network diagram and calculate the earliest start time (EST) and latest finish time (LFT) for each activity. The activities with EST equal to LFT are part of the critical path.
b) Activities on the Critical Path: Once you have determined the critical path, you can identify the activities that fall within it. These are the activities that directly affect the project's completion time.
c) Total Project Completion Time: To calculate the total project completion time, sum up the durations of all the activities on the critical path. The result will give you the overall duration of the project.
d) Slack Time: Slack time refers to the amount of time an activity can be delayed without delaying the project's completion time. To calculate slack time, you need to find the difference between the LFT of an activity and its duration. Activities on the critical path have zero slack time.
To determine the total slack for the non-critical path(s), you need to identify the activities that are not part of the critical path. For each of these activities, calculate their slack time and sum up the values. The result will give you the total slack for the non-critical path(s).
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Your organization employs 100,000 people. The new CEO wants that the company becomes more innovative. The new HR consultant recommends to the CEO to establish a competitive culture in the corporation so that all managers and employees would compete against each other. What advice would you offer to the CEO, and why? As part of your answer, please explain the concepts of the anaclitic depression, and others. How do you see these two issues, competition and cooperation, play out during the recent Coronavirus pandemic, in the leadership of the United States and worldwide?
The CEO of the company employs 100,000 employees and wants the organization to become more innovative. The HR consultant has suggested establishing a competitive culture in the corporation so that all managers and employees will compete against each other.
However, the establishment of a competitive culture might not be the best advice for the CEO. Competitive environments can lead to increased pressure on employees, resulting in increased stress levels, lower job satisfaction, and reduced performance.
It can also lead to toxic work environments that breed animosity, distrust, and low morale, which can ultimately negatively impact innovation and productivity. Rather than focusing solely on a competitive culture, the CEO can create a more innovative environment by implementing a culture that encourages teamwork and cooperation.
This way, employees can collaborate and share their ideas, leading to more innovation and creativity. Cooperation and collaboration promote creativity, better communication, and higher job satisfaction. The company can form cross-functional teams that work towards a common goal, leading to a more dynamic environment where employees can learn from one another.
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This week we study a country shattered by partisanship (could never happen again, right?). Let's put you in the Oval Office (or its equivalent in the Executive Mansion on K Street in Richmond, VA), and see how you would handle things, knowing what you know now.
PARAGRAPH #1: You instead of James Buchanan: "Can't we all just get along?"
1859. You are sitting on a pressure cooker. The North is resentful of the slave holding south and the South is ready to break off and form its own country with slavery intact and the plantation owners in charge. As President of the United States, how do you keep the country from splitting apart. Name at least 5 policies you would institute to alleviate the tension, try to mollfy each side before they tear each other apart, and then tell why you feel they would be effective.
PARAGRAPH #2: You instead of Abraham Lincoln: "Government of the people, by the people, for the people, shall not perish from the earth"
1861 and you are the new US President. The South hates you and has seceded and is rebelling. Fort Sumter has been fired upon and the war has begun. How do you win it? Name at least 5 policies you would institute to defeat the insurrection and secure peace and stability for the US for hereonafter, and tell why you think they would be effective.
PARAGRAPH #3: You instead of Jefferson Davis. "Founding father of a new nation!"
The South has seceded and you have been put in charge as President of the Confederate States of America. You are at war with the North, which has more people and more industry. Now what? Name at lease 5 policies you would institute to organize and protect your new nation from those northern aggressors and tell why you think they would be effective.
The main answer is as follows:
As the President of the United States, I would institute the following five policies to alleviate tension between the North and South and keep the country from splitting apart.
1. I would enact a federal law that protects the rights of slave owners, which would mollify the South.
2. I would enforce the Fugitive Slave Act in the North, which would mollify the South.
3. I would promote internal improvements, such as the transcontinental railroad, to connect the country, which would mollify the North.
4. I would prohibit slavery in the western territories, which would mollify the North.
5. I would establish a commission to address the issue of slavery in the United States, which would mollify both the North and the South.
Paragraph 2: As the President of the United States, I would institute the following five policies to defeat the insurrection and secure peace and stability for the US for hereafter.
1. I would call for a blockade of Southern ports, which would cut off supplies and exports and weaken the South's economy.
2. I would mobilize and train a large Union army, which would outnumber and outmaneuver the Confederacy.
3. I would support the Emancipation Proclamation to free slaves, which would weaken the South's labor force.
4. I would use the Homestead Act to settle the West, which would support the Union's economy and population growth.
5. I would deliver the Gettysburg Address to inspire Union troops and rally public support for the war effort.
Paragraph 3: As the President of the Confederate States of America, I would institute the following five policies to organize and protect my new nation from those northern aggressors.
1. I would seek diplomatic recognition from foreign countries, which would increase the Confederacy's legitimacy and economic support.
2. I would mobilize and train a large Confederate army, which would defend the South's territory and resources.
3. I would implement a draft to increase the size of the Confederate army, which would ensure the South's survival.
4. I would impose tariffs on imports and exports, which would fund the Confederacy's war effort.
5. I would issue bonds and print currency, which would fund the Confederacy's war effort and protect its economy.
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1. What alternative marketing strategies might Apple have followed? 2. Why did Apple consistently lose market space despite the Mac being the most user- friendly computer ever made? 3. Discuss the marketing mix opted for Mac by Apple Inc and suggest recommendations for further improvement. 4. Identify some current opportunities and threats that Steve Jobs came across during the transition from mac to iMac and iPod.
1. What alternative marketing strategies might Apple have followed?Apple is an innovative company that has established itself in the market by its unique and unconventional marketing strategies.
The company has relied on the premium segment to sell its products with its high-end hardware, software, and other accessories. But there are some alternative marketing strategies that Apple could follow to diversify its revenue streams and expand its customer base. Some of the alternative marketing strategies are:a. Focus on price-sensitive customersb.
Identify some current opportunities and threats that Steve Jobs came across during the transition from mac to iMac and iPod.Opportunities:a. Emerging digital music market.b. The proliferation of the internet.c. Increasing demand for portable devices.Threats:a. Competition from established brands in the market.b. High cost of production and research and development.c. Changing consumer preferences and buying behavior.
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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?
$
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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J Corp. reported the following: Units: 752 Sales $3506 Variable Costs $661 Fixed Costs $458 Compute break-even units. Round ONLY your final answer to 2 decimal places. Do not round intermediate computations. J Corp. reported the following: Units: 361 Sales $5377 Variable Costs $218 Fixed Costs $148 If the company reduces its selling price by $7 per unit to generate more sales AND increase advertising by 141 AND expects the number of units sold to increase by 493 units, what would be the impact to net income? Round ONLY your final answer to 2 decimal places. Do not round intermediate computations. Note decreases as a negative number
To compute the break-even units, we can use the following formula: Break-even units = Fixed Costs / Contribution Margin per unit. Contribution Margin per unit = Sales - Variable Costs
Contribution Margin per unit = $3506 - $661 = $2845. Break-even units = $458 / $2845 = 0.161 (rounded to 2 decimal places). Therefore, the break-even units for J Corp. are approximately 0.16 units.
To determine the impact on net income, we need to compare the current net income with the projected net income after the changes. Current net income = Sales - Variable Costs - Fixed Costs; Current net income = $5377 - $218 - $148 = $5011
Projected net income after changes:
Units sold = 361 + 493 = 854
Selling price reduction = $7 per unit
Increase in advertising = $141
Projected sales = (Units sold) * (Selling price reduction)
Projected sales = 854 * (-$7) = -$5978
Projected variable costs = (Units sold) * (Variable Costs per unit)
Projected variable costs = 854 * $218 = $186,172
Projected fixed costs = Fixed Costs + Increase in advertising
Projected fixed costs = $148 + $141 = $289
Projected net income = Projected sales - Projected variable costs - Projected fixed costs
Projected net income = (-$5978) - $186,172 - $289 = -$193,439
The impact on net income is a decrease of approximately -$193,439.
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A client informed the engagement partner that $190,000 of its inventory is deemed obsolete and is unwilling to adjust the financial statements. Accordingly, the financial statements have not been adjusted. The engagement partner, who has substantial experience in this industry, is aware of the client's position, but has agreed to issue an unmodified opinion on the financial statements. The materiality on the audit is $100,000. The financial statements are materially misstated, and the engagement partner has exercised due care. The financial statements are materially misstated, and the engagement partner has not exercised objectivity and integrity The financial statements are materially misstated, and the engagement partner is not independent. The financial statements are not materially misstated, and the engagement partner has exercised due care, The financial statements are not materially misstated, and the engagement partner has exercised objectivity and integrity. The financial statements are not materially misstated, and the engagement partner is not independent.
A materiality level of $100,000 has been determined by the auditors for the financial statements. Materiality is an assessment made by auditors to determine the threshold at which misstatements in the financial statements could influence the decisions of reasonable users.
Despite the presence of a material misstatement, the engagement partner has issued an unmodified opinion, indicating that the financial statements are presented fairly and in accordance with the applicable accounting standards.
This suggests that the engagement partner has carefully considered the materiality of the misstatement and concluded that it does not impact the overall fairness of the financial statements.
1. Materiality of financial statements: The auditors have established a materiality level of $100,000 for the financial statements. Materiality is a measure used to determine the significance of misstatements in the financial statements, indicating the point at which such misstatements could affect the decisions of reasonable users.
2. Unmodified opinion: An unmodified opinion, also known as a clean opinion, is an auditor's report that contains no reservations or adverse comments regarding the financial statements. It indicates that, in the auditor's professional judgment, the financial statements are presented fairly and in accordance with the applicable accounting standards.
3. Material misstatement: A material misstatement refers to an error or omission in the financial statements that is significant enough to impact the decisions of reasonable users. In this case, there is a material misstatement present in the financial statements.
4. Exercise of professional judgment: The engagement partner, responsible for overseeing the audit, has evaluated the materiality of the misstatement and made a judgment call. By issuing an unmodified opinion, the engagement partner indicates that they have exercised due care and professional judgment in assessing the impact of the misstatement on the overall fairness of the financial statements.
In summary, the auditors have determined the materiality of the financial statements to be $100,000. Despite the presence of a material misstatement, the engagement partner has chosen to issue an unmodified opinion, indicating that, in their professional judgment, the misstatement does not affect the overall fairness of the financial statements.
This decision reflects the engagement partner's careful evaluation of the materiality of the misstatement and their exercise of professional judgment.
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An Australian multinational company plans to initiate a project in Canada. The project will last 2 years and shut down afterwards. The initial investment for the project is C$2,750,000. Expected cash flows from the project over the next two years are C$1,950,000 and C$1,850,000 respectively. The expected spot exchange rate at the time of initial investment is A$0.98/CS, while that over the next two years are A$1.00/C$ and A$1.12/C$ respectively.
If the company uses a discount rate of 10 percent, what is the NPV of this project expressed in A$ (rounded to nearest value)?
Select one:
a. A$790,124
b. A$1,916,713
c. A$269,806
d. A$1,100,000
The NPV of the project in A$ is approximately A$269,806, considering the given cash flows, exchange rates, and discount rate. The correct answer is option c.
To calculate the net present value (NPV) of the project in A$, we need to discount the cash flows from the project at the given discount rate of 10 percent.
First, we convert the cash flows from Canadian dollars (C$) to Australian dollars (A$) using the spot exchange rates provided.
For the initial investment:
Initial Investment in A$ = C$2,750,000 * (1 / A$0.98) = A$2,806,122
For Year 1 cash flow:
Year 1 Cash Flow in A$ = C$1,950,000 * (1 / A$1.00) = A$1,950,000
For Year 2 cash flow:
Year 2 Cash Flow in A$ = C$1,850,000 * (1 / A$1.12) = A$1,651,786
Now, we can calculate the NPV using the formula:
NPV = (Year 1 Cash Flow / (1 + Discount Rate)^1) + (Year 2 Cash Flow / (1 + Discount Rate)^2) - Initial Investment
NPV = (A$1,950,000 / (1 + 0.10)^1) + (A$1,651,786 / (1 + 0.10)^2) - A$2,806,122
Calculating the above expression gives us:
NPV ≈ A$269,806
Therefore, the NPV of the project, expressed in A$, is approximately A$269,806.
The correct answer is option c. A$269,806.
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Consider the following financial information about ABC Limited:
High Growth Stage (2 years) Stable growth Stage
Growth rate of FCFF = 15% Growth rate of FCFF = 3%
EBIT (1 - T) = $200 WACC = 10% Capital Expenditures = $100 Depreciation = $100 Increase in NCWC = $120 Market value of debt = $2,500 Cash = $1,450 Number of shares = 9 Using the information above in a two-stage discounted cash flow (DCF) model, calculate the target price of ABC Limited (in $ per share).
The target price of ABC Limited (in $ per share) is $957.07 per share.We need to calculate the target price with a few important steps.In a two-stage discounted cash flow model, the target price of ABC Limited (in $ per share) can be calculated
To calculate this we now use the following steps:
Step 1: Calculate the Present Value of High Growth Stage FCFF for year 1 = $200 × (1 + 15%) = $230
FCFF for year 2 = $230 × (1 + 15%) = $264 PV of FCFF for year 1 = $230 / (1 + 10%)
= $209.09 PV of FCFF for year 2 = $264 / (1 + 10%)² = $214.87
PV of Terminal Value (Year 2) = [FCFF year 2 × (1 + stable growth rate)] / (WACC - stable growth rate)= [($264 × 1.03) / (0.1 - 0.03)] / (1 + 0.1)²= $4,755.76 / 1.21 = $3,936.60
Present Value of High Growth Stage = $209.09 + $214.87 + $3,936.60 = $4,360.56
Step 2: Calculate the Present Value of Stable Growth Stage FCFF for year 3 = $264 × 1.03² = $290.48
PV of FCFF for year 3 = $290.48 / (1 + 10%)³ = $221.09
PV of Terminal Value (Year 3) = [FCFF year 3 × (1 + stable growth rate)] / (WACC - stable growth rate)= [($290.48 × 1.03) / (0.1 - 0.03)] / (1 + 0.1)³= $5,891.88 / 1.331 = $4,422.07
Present Value of Stable Growth Stage = $221.09 + $4,422.07 = $4,643.16
Step 3: Calculate the Target Price of ABC LimitedTarget Price of ABC Limited = (PV of High Growth Stage + PV of Stable Growth Stage) / Number of Shares= ($4,360.56 + $4,643.16) / 9= $957.07Therefore, the target price of ABC Limited (in $ per share) is $957.07 per share.
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Mr. Meadows Cookie Company makes a variety of chocolate chip cookies in the plant in Albion, Michigan. Based on orders received and forecasts of buying habits, it is estimated that the demand for the next four months is 860,1,250,610, and 980, expressed in thousands of cookles. During a 46day Period when there were 120 workers, the company produced 1.8 million cookies. Assume that the number of workdays over the four months are respectively 26,24,20, and 22 . There are currently 100 workers employed, and there is no starting inventory of cookies. a) What is the minimum constant workforce required to meet demand over the next four months? b) Assume that C F
=$100 per thousand cookies per month, C H
=$100, and C F
=$200. Evaluate the cost of the plan derived in part (a). c) Formulate as a linear program. Be sure to define all variables and include the required constraints. d) Solve for the optimal solution.
Mr. Meadows Cookie Company makes a variety of chocolate chip cookies in the plant in Albion, Michigan. The demand for the next four months is as follows: 860, 1,250, 610, and 980, expressed in thousands of cookies.
Minimize: Z = x1 + x2 + x3 + x4The constraints are as follows:For Month [tex]1:x1 × 26 × 1000 × 46/120 = 860 × 1000 => x1 = 345.97 ≈ 346For Month 2:x2 × 24 × 1000 × 46/120 = 1250 × 1000 => x2 = 406.25 ≈ 407For Month 3:x3 × 20 × 1000 × 46/120 = 610 × 1000 => x3 = 199.34 ≈ 200For Month 4:x4 × 22 × 1000 × 46/120 = 980 × 1000 => x4 = 379.54 ≈ 380[/tex]The minimum constant workforce required to meet demand over the next four months is x1 + x2 + x3 + x4 = 346 + 407 + 200 + 380 = 1333 workers.Evaluate the cost of the plan derived in part .
The cost of the plan derived in part (a) with the given values of CF1, CF2, and CF3, is given as follows:Cost = CF1 × x1 × 26 + CF2 × x2 × 24 + CF3 × x3 × 20 + CF1 × x4 × 22 + CH × (x1 + x2 + x3 + x4)The cost function can be written as:Minimize: [tex]Z = 100x1 + 100x2 + 200x3 + 100x4 + 100(346 + 407 + 200 + 380)Subject to:x1 × 26 × 1000 × 46/120 = 860 × 1000x2 × 24 × 1000 × 46/120 = 1250 × 1000x3 × 20 × 1000 × 46/120 = 610 × 1000x4 × 22 × 1000 × 46/120 = 980 × 1000x1, x2, x3, x4 ≥ 0[/tex]Solve for the optimal solution:The linear program can be solved using any method, such as the Simplex Method or the Graphical Method.
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