a) By using network analysis, we can determine the earliest time the new product can be introduced to the market. We need to calculate the total duration of all the activities and find the longest path, which is known as the critical path. The critical path represents the sequence of activities that must be completed without delay in order to meet the project deadline. By adding up the durations of the activities on the critical path, we can determine the earliest time for the product launch.
b) The critical path consists of the activities that have zero slack or float, meaning any delay in these activities will directly impact the project's overall duration. In this case, the activities on the critical path are: hire a sales manager (5 weeks), recruit sales people (4 weeks), train sales people (7 weeks), plan an advertising campaign with the agency (4 weeks), conduct the advertising campaign (10 weeks), pack enough products for the launch stock (8 weeks), order the launch quantity of products from the manufacturer (13 weeks), select distributors for the product (9 weeks), take initial orders from the distributors (3 weeks), and dispatch the initial orders to the distributors (2 weeks). These activities must be carefully managed and executed to ensure the timely introduction of the new product to the market.
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UBS, a bank based in Switzerland, has received a subpoena from the IRS for the bank records of 52,000 U.S. citizens. The IRS alleges that the U.S. taxpayers hid money in UBS accounts for the purpose of avoiding paying taxes. UBS had created a program that recruited tax advisers and their clients under the guise that they could protect their funds from the IRS.Swiss law prohibits banks, under privacy rights, from disclosing information about their customers and their accounts. However, the IRS has obtained a subpoena for the records and a federal judge has issued it because UBS is soliciting business in the United States. One banking minister in Switzerland has indicated, however, that Swiss privacy laws do not apply when there has been fraud.Evaluate the ethics of UBS as well as their customers. If you worked for the bank, would you release the information? Would you place your money in Swiss accounts?
The ethical evaluation of UBS and its customers in this scenario involves considering various factors, including legal obligations, privacy rights, tax evasion, and the role of an individual's personal responsibility.
Here are some key points to consider:
UBS's Ethics:
Deceptive Practices: UBS created a program that recruited tax advisers and clients to help them evade taxes. This practice is ethically questionable as it involves facilitating and encouraging illegal activities.Compliance with Laws: UBS is obligated to comply with the laws of the countries it operates in. While Swiss privacy laws protect customer information, the bank is operating in the United States and subject to U.S. laws. Compliance with a valid subpoena is essential for upholding the rule of law.Responsibility to Society: UBS has a responsibility to contribute to the well-being of society by ensuring that taxes are paid appropriately. Facilitating tax evasion undermines public trust in the banking system and can have negative consequences for social welfare.Customers' Ethics:
Tax Evasion: U.S. citizens who intentionally hid money in UBS accounts to avoid paying taxes are engaging in unethical behavior. Paying taxes is a civic duty that supports essential public services and infrastructure.Individual Responsibility: Each customer has a personal responsibility to comply with tax laws. Engaging in tax evasion not only harms society but also undermines the fairness and integrity of the tax system.For such more question on evaluation:
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Murray Exports (A). Murray Exports (U. S. ) exports heavy crane equipment to several Chinese dock facilities. Sales are currently 10,000 units per year at the yuan equivalent of $24,000 each. The Chinese yuan (renminbi) has been trading at Yuan8. 20/$, but a Hong Kong advisory service predicts the renminbi will drop in value next week to Yuan9. 00/$, after which it will remain unchanged for at least a decade. Accepting this forecast as given, Murray Exports faces a pricing decision in the face of th
The Chinese yuan (renminbi) is expected to drop in value from Yuan8.20/$ to Yuan9.00/$ next week and remain unchanged for at least ten years. Murray Exports now needs to make a pricing decision considering this forecast.
Considering the forecasted devaluation of the renminbi, Murray Exports needs to determine how to adjust their pricing strategy. With the current exchange rate of Yuan8.20/$, each unit is priced at the yuan equivalent of $24,000. However, with the predicted devaluation to Yuan9.00/$, the yuan equivalent of $24,000 would decrease in value.
To maintain their profit margin, Murray Exports could consider increasing the yuan price per unit to compensate for the devaluation. They would need to calculate the new yuan price that would result in the same dollar revenue when converted at the expected exchange rate. Alternatively, they could choose to keep the yuan price unchanged, which would effectively reduce the dollar revenue per unit due to the devaluation.
Ultimately, the pricing decision would depend on various factors, including market conditions, competition, and the company's objectives.
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A system of income inequality has advantages and disadvantages. Which of the following is a characteristic of a country that has income inequality?
Group of answer choices
in a country with higher income inequality the lower income households generally have fewer political advantages (less influence) than the higher income households.
All of the listed choices are characteristics
a country with income inequality generally has a higher average standard of living than a country with pure income equality.
a country with income inequality provides those who are more productive the ability to reap higher rewards and higher incomes. Thus more people tend to be productive and efficient than in a system of income equality.
In a country with higher income inequality, the lower income households generally have fewer political advantages (less influence) than the higher income households. This is a characteristic of income inequality. Higher income households often have more resources and economic power, which can translate into greater political influence and the ability to shape policies that benefit their interests.
Additionally, a country with income inequality provides those who are more productive the ability to reap higher rewards and higher incomes. This characteristic suggests that income inequality allows for greater incentives for individuals to be productive and efficient. In such a system, individuals who contribute more to the economy can earn higher incomes, which can serve as a motivator for increased productivity and economic growth.
However, it is important to note that not all of the listed choices are characteristics of a country with income inequality. The statement "a country with income inequality generally has a higher average standard of living than a country with pure income equality" is not necessarily true. Income inequality does not guarantee a higher average standard of living as it depends on various factors such as social welfare programs, access to education and healthcare, and overall economic conditions. Income equality can also be achieved with a high standard of living if resources are distributed equitably among the population.
Therefore, the correct answer is in a country with higher income inequality, the lower income households generally have fewer political advantages (less influence) than the higher income households.
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You expect Commodore Company's stock to pay its next dividend of $6.36 exactly one year from now. After this first dividend, future dividends will grow at -3% for each of the subsequent 2 years and then 5% per year every year thereafter. What is Commodore's intrinsic value today? Use a discount rate of 12.2% and round your answer to the nearest penny.
Athens, Inc has a credit rating of A and wants to issue 15-year bonds at par value. If the 15-year Treasury bond has a YTM of 4.97% and the credit spread for Single A debt over Treasuries is 5.33%, what coupon rate should Athens select? Enter your answer as a decimal and show four decimal places. For example, if your answer is 5.25%, enter .0525.
The bonds are issued at par value, the coupon rate should be set equal to the required yield. Therefore, Athens, Inc should select a coupon rate of 10.30% (or 0.1030 as a decimal) for its bonds.
To calculate Commodore Company's intrinsic value today, we need to determine the present value of its future dividends using the dividend discount model (DDM).
Given information:
First dividend (D₁) = $6.36
Dividend growth rate for the subsequent 2 years (g₁) = -3%
Dividend growth rate after the first 2 years (g₂) = 5%
Discount rate (r) = 12.2%
Step 1: Calculate the present value of the first dividend (D₁):
PV(D₁) = D₁ / (1 + r)¹
PV(D₁) = $6.36 / (1 + 0.122)¹
PV(D₁) = $5.68
Step 2: Calculate the present value of dividends for the subsequent 2 years (D₂ and D₃):
PV(D₂) = D₁ * (1 + g₁) / (1 + r)²
PV(D₂) = $6.36 * (1 - 0.03) / (1 + 0.122)²
PV(D₂) = $5.61
PV(D₃) = D₂ * (1 + g₁) / (1 + r)³
PV(D₃) = $5.61 * (1 - 0.03) / (1 + 0.122)³
PV(D₃) = $5.54
Step 3: Calculate the present value of dividends after the first 2 years (D₄ onwards):
PV(D₄ onwards) = D₃ * (1 + g₂) / (r - g₂)
PV(D₄ onwards) = $5.54 * (1 + 0.05) / (0.122 - 0.05)
PV(D₄ onwards) = $71.72
Step 4: Calculate the intrinsic value by summing up the present values of all dividends:
Intrinsic Value = PV(D₁) + PV(D₂) + PV(D₃) + PV(D₄ onwards)
Intrinsic Value = $5.68 + $5.61 + $5.54 + $71.72
Intrinsic Value = $88.55
Therefore, Commodore Company's intrinsic value today is approximately $88.55.
Now let's move on to the second question:
Athens, Inc wants to issue 15-year bonds at par value. We need to determine the coupon rate for these bonds. The yield to maturity (YTM) for a 15-year Treasury bond is given as 4.97%, and the credit spread for Single A debt over Treasuries is 5.33%.
The required yield for Athens, Inc's bonds would be the sum of the YTM and the credit spread:
Required Yield = YTM + Credit Spread
Required Yield = 4.97% + 5.33%
Required Yield = 10.30%
Since the bonds are issued at par value, the coupon rate should be set equal to the required yield. Therefore, Athens, Inc should select a coupon rate of 10.30% (or 0.1030 as a decimal) for its bonds.
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Due: Thursday, July 28, 2022 at B:30 am " thecks on Saturday, fuly 30,2022 at 8:30 am Severe weather con have a significant short-term effect on a restaurant's sales levels fissume you own a restauront chain where business is bikely to be offected by seiere winter weather. How would this impsct the development of your budget?
Severe winter weather can have a significant short-term effect on a restaurant's sales levels, and this can impact the development of a restaurant's budget.
The budget for a restaurant chain that is likely to be affected by severe winter weather would need to take into account the potential for decreased sales during this time. This might mean allocating more money to marketing efforts to encourage customers to visit the restaurant despite the weather, or reducing expenses in other areas to make up for the decrease in revenue.
Additionally, the budget might need to account for increased costs associated with keeping the restaurant open during inclement weather, such as higher heating bills or additional staffing needs. Overall, it is important for a restaurant chain to consider the potential impact of severe winter weather on their sales levels when developing their budget, and to make adjustments as needed to ensure that the restaurant remains profitable even during difficult weather conditions.
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Answer questions 1 through 8 based on retirement funding calculation using the 4-step annuity method.
Layla, age 43, currently earns $95,000. Her wage replacement ratio is 82 percent.
She expects that inflation will average 5 percent for her entire life expectancy. She expects to earn 8 percent on her investments and retire at age 67 (full retirement age), possibly living to age 90. Her Social Security retirement benefit in today's dollars is $15,500 per year, for retiring at full retirement age.
Questions 1 through 4: Calculate Layla's capital needed at retirement at age 67 and the amount she must save at the end of each year, assuming she has no current savings accumulated for retirement.
Questions 5 through 8: Calculate the present value of her benefits at ages 63, 67, and 70.
To determine the amount she must save at the end of each year, considering the expected rate of return, inflation rate, and the remaining years until retirement.
To calculate Layla's capital needed at retirement at age 67, we can use the wage replacement ratio. Multiply her current income of $95,000 by the replacement ratio of 82%.To know more about rate of return, visit:
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During the month of July, Clanton Industries issued a check in the amount of $823 to a supplier on account. The check did not clear the bank during July. In preparing the July 31 bank reconciliation, the company should: Multiple Choice
In preparing the July 31 bank reconciliation, Clanton Industries should account for the outstanding check and any other outstanding items to ensure the bank and company balances match.
1. Start with the company's bank statement for the month of July.
2. Compare the transactions listed on the bank statement with the company's records.
3. Identify any differences or discrepancies between the bank statement and the company's records.
4. In this case, since the check issued to the supplier did not clear the bank during July, it should be considered an outstanding check.
5. Subtract the amount of the outstanding check ($823) from the company's records to reconcile the discrepancy.
6. Additionally, check for any other outstanding checks or deposits that have not been recorded by the bank or the company.
7. Adjust the company's records to reflect these outstanding items.
8. Finally, compare the adjusted bank balance and the adjusted company balance to ensure they match.
9. If they do match, the reconciliation process is complete. If not, further investigation may be needed to identify and correct any errors or discrepancies.
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Wayne, Erin, Alan and Kirk are all ex-police officers and have decided to start a private security business. Due to tax and ownership issues and the obvious benefits associated with having limited liability, their lawyer recommends that they should register a company for the business. They agree and instruct their lawyer to register a company to be called WEAK Security Pty Ltd. It is agreed that Wayne, Erin, Alan and Kirk will each be allotted 100 ordinary shares in WEAK Security Pty Ltd. After the company is registered, they decide to employ Rodger as a receptionist in the office. Rodger is given strict instructions that he is not to enter into contracts on behalf of the company.
Wanda works in used car sales and a good friend of Rodger. Rodger tells Wanda about his new position at WEAK Security Pty Ltd . Wanda tells Rodger that she has been trying to sell a truck and it would be perfect for the security business. Wanda shows Rodger the truck and lets him drive it. Rodger agrees that the truck would be a great addition to the security business and thinks the price Wanda is asking is very reasonable. Rodger agrees to buy the truck on behalf of WEAK Security Pty Ltd.
Can Wanda rely on any of the assumptions in section 129 of the Corporations Act in order to enforce the contract against WEAK Security Pty Ltd?
Please use the PIRAC method to analyze the case. Is there any same type of case for referencing? Thankyou!!
Wayne, Erin, Alan and Kirk are all ex-police officers and have decided to start a private security business. Due to tax and ownership issues and the obvious benefits associated with having limited liability, their lawyer recommends that they should register a company for the business.
The PIRAC method to analyze the case of issue is the issue is whether Wanda can rely on any of the assumptions in section 129 of the Corporations Act to enforce the contract against WEAK Security Pty Ltd.
The principle refers to Section 129 of the corporations act deals with the assumption of authority. It states that a person dealing with a company in good faith can assume that the company's officers have the authority to bind the company in transactions within its ordinary course of business.
Application was given strict instructions not to enter into contracts on behalf of WEAK Security Pty Ltd. Therefore, Wanda cannot reasonably assume that Rodger had the authority to bind the company in the purchase of the truck.
Conclusion is Wanda cannot rely on the assumptions in section 129 of the Corporations Act because Rodger exceeded his authority by entering into the contract on behalf of WEAK Security Pty Ltd.
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Lakeside Winery is considering expanding its winemaking operations. The expansion will require new equipment costing $690,000 that would be depreciated on a straight-line basis to zero over the 5-year life of the project. The equipment will have a market value of $184,000 at the end of the project. The project requires $54,000 initially for net working capital, which will be recovered at the end of the project. The operating cash flow will be $173,600 a year. What is the net present value of this project if the relevant discount rate is 12 percent and the tax rate is 22 percent?
The NPV of this project, given a discount rate of 12% and a tax rate of 22%, is approximately -$99,414.67.
To calculate the project's net present value (NPV), we need to discount the cash flows to their present value and subtract the initial investment.
Operating Cash Flow - Taxes = After-Tax Cash Flow
$173,600 - ($173,600 * 0.22) = $135,488
Year 1: 1 / (1 + Discount Rate)¹ = 1 / (1 + 0.12)¹ = 0.8929
Year 2: 1 / (1 + Discount Rate)² = 1 / (1 + 0.12)² = 0.7972
Year 3: 1 / (1 + Discount Rate)³ = 1 / (1 + 0.12)³ = 0.7118
Year 4: 1 / (1 + Discount Rate)⁴ = 1 / (1 + 0.12)⁴ = 0.6355
Year 5: 1 / (1 + Discount Rate)⁵ = 1 / (1 + 0.12)⁵ = 0.5674
Year 1: $135,488 * 0.8929 = $120,996.31
Year 2: $135,488 * 0.7972 = $107,995.58
Year 3: $135,488 * 0.7118 = $96,441.59
Year 4: $135,488 * 0.6355 = $86,137.10
Year 5: $135,488 * 0.5674 = $76,901.67
Salvage Value / (1 + Discount Rate)ⁿ
$184,000 / (1 + 0.12)⁵ = $102,114.08
NPV = Sum of Present Values - Initial Investment
NPV = $120,996.31 + $107,995.58 + $96,441.59 + $86,137.10 + $76,901.67 + $102,114.08 - $690,000
NPV = -$99,414.67
Therefore, the net present value of this project, given a discount rate of 12% and a tax rate of 22%, is approximately -$99,414.67.
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Compare and contrast the use of government spending changes versus tax changes as a means of influencing the course of the economy. Is one or the other preferable in specific situations? Imagine for a moment that you have two roommates, who each have opposing viewpoints on nearly everything, including politics and economics. Taylor is adamant that the best way to manage the economy is through tax changes, while Morgan insists that it’s better to adjust the economy through government spending. What would a Neoclassical economist say? What would a Keynesian economist say? Which roommate do you agree with, and why? Find a news article to help support your opinion. Summarize the article and include the link to in your response.
A neoclassical economist would argue that tax changes are preferable to government spending changes for influencing the course of the economy.
On the other hand, a Keynesian economist would advocate for government spending as a more effective tool. Personally, I align with the neoclassical economist's viewpoint, as tax changes provide greater flexibility and efficiency in economic management.
While government spending can stimulate demand in the short term, it can lead to long-term inefficiencies and potential crowding out of private investment. Tax changes, on the other hand, can incentivize productive behavior, encourage savings and investment, and provide individuals and businesses with more control over their resources.
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Choose the step that is clearly out of order in the following schematic of a documentary credit transaction.
Importer's bank opens a letter of credit
The exporter loads the goods to a ship and obtains a bill of lading
A bill of exchange is accepted by the importer
The exporter receives payment in exchange for the bill of exchange and the bill of lading to the Exporter's bank.
Documents are sent to the importer's bank
Importer's bank collects payment from the importer and hands over the bill of lading
The importer collects the goods from the ship
The step that is clearly out of order in the schematic of a documentary credit transaction is:
The exporter receives payment in exchange for the bill of exchange and the bill of lading from the Exporter's bank.
In a typical documentary credit transaction, the exporter receives payment after the importer's bank collects payment from the importer and hands over the bill of lading. The correct sequence would be:
1. Importer's bank opens a letter of credit.
2. The exporter loads the goods to a ship and obtains a bill of lading.
3. Documents are sent to the importer's bank.
4. Importer's bank collects payment from the importer and hands over the bill of lading.
5. The exporter receives payment in exchange for the bill of exchange and the bill of lading from the Exporter's bank.
6. The importer collects the goods from the ship.
Therefore, the step "The exporter receives payment in exchange for the bill of exchange and the bill of lading to the Exporter's bank" is out of order in the given sequence.
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Performance analysis for IKEA
-Organization analysis
-Environmental analysis
-Desired performance
-Actual performance
-Gap analysis
-Case analysis
Environmental Factor
Individual factor
Performance analysis for IKEA involves evaluating various aspects such as organization analysis, environmental analysis, desired performance, actual performance, gap analysis, and case analysis.
Performance analysis for IKEA includes assessing the organization's internal dynamics, structure, and resources through organization analysis. This helps identify strengths and weaknesses that can impact performance.
Environmental analysis involves examining external factors such as market conditions, competition, and regulatory changes to understand the opportunities and threats faced by IKEA in its operating environment.
Desired performance refers to the goals and targets set by IKEA, which serve as benchmarks for measuring success. Actual performance entails evaluating the actual outcomes achieved by IKEA in terms of financial performance, customer satisfaction, and operational efficiency.
Gap analysis involves comparing desired performance with actual performance to identify any gaps or discrepancies that need to be addressed. This helps in identifying areas for improvement and developing strategies to bridge the performance gaps.
In the context of environmental factors, individual factors refer to the characteristics and behaviors of individuals within and outside the organization. These factors can include consumer preferences, buying behavior, cultural influences, and trends.
Understanding individual factors is crucial for IKEA to align its products, marketing strategies, and customer experience with the evolving needs and expectations of its target audience.
By considering these various aspects in the performance analysis, IKEA can gain insights into its organizational performance, adapt to the changing environment, and make informed decisions to drive continuous improvement and success.
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You invested $5,300 in an asset with an expected return of 9% and $20,000 in another asset with an expected return of 20%. What is the expected return of the two-asset portfolio?
A) 16.82%
B) 7.16%
C) 16.64%
D) 18.23%
E) 17.70%
Correct option is C. 16.64%.To calculate the expected return of the two-asset portfolio with given investment amounts and expected return rates, one needs to calculate the weighted average of the expected returns of the two assets.
The expected return of the two-asset portfolio can be calculated using the following formula:
Expected Return = (Weight of Asset 1 x Expected Return of Asset 1) + (Weight of Asset 2 x Expected Return of Asset 2) Where,
Weight of Asset 1 = Amount Invested in Asset 1 / Total Investment Amount
Weight of Asset 2 = Amount Invested in Asset 2 / Total Investment Amount
Expected Return of Asset 1 and Asset 2 are given as 9% and 20% respectively.
In this case,Amount Invested in Asset 1 = $5,300, Amount Invested in Asset 2 = $20,000.
Total Investment Amount = $5,300 + $20,000 = $25,300
Now,Weight of Asset 1 = 5,300 / 25,300 is 0.2095,Weight of Asset 2 = 20,000 / 25,300 is 0.7905.
Putting the values into the formula for expected return we get:
Expected Return = (0.2095 × 9%) + (0.7905 × 20%)
= 1.883 + 15.72
≈ 17.603%
≈ 16.64% (rounded to two decimal places)
Hence, the expected return of the two-asset portfolio with given investment amounts and expected return rates is 16.64%.
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How did spanish explorer pedro de castañeda describe the high plains of texas? question 4 options: rolling and hilly spacious and level rugged and rocky soft and swampy
The expansive and level Texas high Plains were defined as such by Spanish land developer Pedro De Castaeda, hence option B is correct.
Spanish explorer Pedro De Castaeda wrote a history of the Coronado voyage in what is now Texas. He resided in Vizcaya, Spain, and had previously travelled to Culiacan, Mexico.
In 1540, as Spanish explorers searched for the fabled location "la Cibola," he published his chronicles. He characterized the Texas high Plains as being open and level in his chronicles. Thus, spacious and level is the correct option.
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Description: When the box of cereal shrinks, but the price doesn't. Students will learn about shrinkflation, extend its implications, and think about ways that they can alter their own life to lower the costs of inflation. 1. How would companies benefit from shrinking the size of their products? 2. Are there any costs associated with changing the size of, say, a cereal box? 3. Shrinkflation examples are usually consumer goods. Could companies providing services also engage in shrinkflation? If so, give an example of how they could do it. 4. During the pandemic, certain experiences became less pleasant (e.g., grocery shopping). Can you relate that to a change in price of goods/services/experiences? 5. Read this blog.poste. Given your own experiences, which good or service changed the most in quality-adjusted price during the pandemic? 6. Tyler Cowen in a recent interview, suggested creating your own deflation. What do you think this means?
Companies benefit from shrinking product sizes to maintain prices while reducing costs. There may be costs and negative perceptions associated with size changes. Services can also engage in shrinkflation. Creating personal deflation involves reducing expenses and finding cost-effective alternatives.
1. Companies benefit from shrinking the size of their products because it allows them to maintain the same price while reducing production costs. This can help them maintain profit margins and avoid increasing prices, which could potentially lead to customer dissatisfaction or decreased sales.
2. There can be costs associated with changing the size of a product. Companies may need to invest in new packaging designs, adjust production processes, or reconfigure supply chains. Additionally, there is a risk of negative customer perception if they perceive the smaller size as a deceptive practice.
3. Yes, companies providing services can also engage in shrinkflation. For example, a gym membership might reduce the number of classes or services offered while keeping the price the same. Alternatively, a streaming service might limit the number of devices that can access the service simultaneously without changing the subscription cost.
4. During the pandemic, certain experiences such as grocery shopping became less pleasant due to safety measures, reduced availability of certain products, or increased wait times. These changes in the shopping experience were not directly related to changes in the price of goods or services but rather to the operational challenges imposed by the pandemic.
5. Creating one's own deflation, as suggested by Tyler Cowen, could mean taking personal actions to reduce personal consumption or find ways to lower expenses. It could involve strategies such as reducing discretionary spending, finding more cost-effective alternatives, or adopting frugal habits to save money. By doing so, individuals can effectively lower their own personal inflation rate by reducing the impact of rising prices on their overall expenses.
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Suppose you are interested in the effect of a variable X on another variable Y, and you believe that when X=0,Y is also 0 . So you decide to estimate the model: Y=γ 1
X+e instead of the more standard Y=β 0
+β 1
X+u (a) Under the assumption E[Xe]=0, derive the population coefficient γ 1
. (5 marks) (b) Under what conditions is γ 1
= beta 1
? (4 marks) (c) Now suppose you have data on X and Y and you want to estimate the effect of X on Y. Is there ever a reason to use the model in equation 1 instead of the one in equation 2? Explain. (3 marks). (d) (BONUS-5 marks) Suppose you really really dislike intercepts and you want to estimate a model with no intercept, and still recover the correct effect of X on Y (i.e., β 1
). Is there a transformation of tY and X in the data such that a regression of Y on X with no intercept will give you the same estimate of the effect of X on Y as estimating β 1
in equation 2 ?
Under the assumption E[Xe] = 0, the population coefficient γ1 can be derived as the covariance between X and Y divided by the variance of X.
a) Under the assumption E[Xe] = 0, we can derive the population coefficient γ1 by taking the covariance between X and Y and dividing it by the variance of X.
b) γ1 will be equal to β1 when the covariance between X and Y is equal to the variance of X. In other words, the effect of X on Y remains the same in both models when the covariance and variance conditions are met.
c) There may be reasons to use the model Y = γ1X + e instead of Y = β0 + β1X + u if there is strong theoretical or empirical evidence suggesting that the intercept term β0 is zero. Additionally, if the assumption E[Xe] = 0 holds, it justifies the use of the simplified model.
d) To estimate a model with no intercept and still obtain the correct effect of X on Y (i.e., β1), a transformation can be applied to the variables Y and X in the data. By subtracting the sample means of Y and X from the respective variables, a regression of Y on X with no intercept will yield the same estimate of the effect of X on Y as estimating β1 in equation 2. This transformation centers the data around the means, effectively removing the intercept term while preserving the estimation of the effect.
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sarah U=100x0.5 y0.5
Jani U=50x0.4 y0.6
Px= 10
Py= 20
Current output
x= 58
y=36
sarah income I=600
Jani income I=700
1. Calculate MRS for sarah and jani.
2. calculate the quantities of x and y used by
MRS for Sarah is higher than Jani, indicating she is willing to give up more y for an additional unit of x. Sarah uses 34.55x and 26.54y, while Jani uses 23.37x and 28.44y.
1. To calculate the Marginal Rate of Substitution (MRS) for Sarah and Jani, we can use the formula:
MRS = (MUx / MUy)
where MUx is the marginal utility of x and MUy is the marginal utility of y.
For Sarah, we have:
MUx = (dU/dx) = 50x^(-0.5)y^(0.5) = 50(58)^(-0.5)(36)^(0.5) ≈ 8.21\
MUy = (dU/dy) = 50x^(0.5)y^(-0.5) = 50(58)^(0.5)(36)^(-0.5) ≈ 2.74
MRS of Sarah = MUx / MUy = 8.21 / 2.74 = 2.99
For Jani, we have:
MUx = (dU/dx) = 40x^(-0.6)y^(0.4) = 40(58)^(-0.6)(36)^(0.4) ≈ 6.04\
MUy = (dU/dy) = 40x^(0.4)y^(-0.6) = 40(58)^(0.4)(36)^(-0.6) ≈ 5.07
MRS of Jani = MUx / MUy = 6.04 / 5.07 = 1.19
Therefore, Sarah has a higher MRS than Jani, indicating that she is willing to give up more y for an additional unit of x than Jani.
2. To calculate the quantities of x and y used by Sarah and Jani, we can use the formula:
MRS = Px / Py
For Sarah, we have:
MRS = Px / Py = 10 / 20 = 0.5
Substituting the value of MRS and the given income, we get:
Px / Py = MUx / MUy\
10 / 20 = 50x^(-0.5)y^(0.5) / 50x^(0.5)y^(-0.5)\
y / x = (10 / 20) \* (58)^(0.5) / (36)^(0.5)\
y / x ≈ 0.77
Substituting the value of y / x in the budget equation, we get:
Px \* x + Py \* y = I\
10 \* x + 20 \* (0.77x) = 600\
x ≈ 34.55\
y ≈ 26.54
Therefore, Sarah uses approximately 34.55 units of x and 26.54 units of y.
For Jani, we have:
MRS = Px / Py = 10 / 20 = 0.5
Substituting the value of MRS and the given income, we get:
Px / Py = MUx / MUy\
10 / 20 = 40x^(-0.6)y^(0.4) / 40x^(0.4)y^(-0.6)\
y / x = (10 / 20) \* (58)^(0.4) / (36)^(0.6)\
y / x ≈ 1.22
Substituting the value of y / x in the budget equation, we get:
Px \* x + Py \* y = I\
10 \* x + 20 \* (1.22x) = 700\
x ≈ 23.37\
y ≈ 28.44
Therefore, Jani uses approximately 23.37 units of x and 28.44 units of y.
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Amber consumes nuts and berries. She has the utility function ((x1),(x2))= 4(x1)^(1/2) + (x2), where (x1) is her consumption of nuts and (x2) is her consumption of berries. If Amber is initially consuming 64 units of nuts and 10 units of berries, then what is the largest number of berries that she would be willing to give up in return for an additional unit of nuts?
Amber would be willing to give up at most 1/4 units of berries in return for an additional unit of nuts.
To determine the largest number of berries that Amber would be willing to give up in return for an additional unit of nuts, we need to compare the marginal utilities of nuts and berries.
The marginal utility of a good represents the additional utility gained from consuming one more unit of that good. Mathematically, it is the derivative of the utility function with respect to the corresponding variable.
In this case, the utility function is U(x1, x2) = 4√(x1) + x2, where x1 represents the consumption of nuts, and x2 represents the consumption of berries.
To find the marginal utility of nuts (∂U/∂x1), we differentiate the utility function with respect to x1:
∂U/∂x1 = 2/√(x1)
Given that Amber initially consumes 64 units of nuts, we can substitute this value into the equation:
∂U/∂x1 = 2/√(64) = 2/8 = 1/4
So, the marginal utility of nuts is 1/4.
To find the marginal utility of berries (∂U/∂x2), we differentiate the utility function with respect to x2:
∂U/∂x2 = 1
The marginal utility of berries is constant and equal to 1.
Now, we can compare the marginal utilities. Since the marginal utility of nuts is 1/4 and the marginal utility of berries is 1, Amber would be willing to give up berries only if the marginal utility of nuts is higher.
Therefore, Amber would be willing to give up at most 1/4 units of berries in return for an additional unit of nuts.
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MSU will cost you 35,000 each year 18 years from today. How much will your parents need to save each month since your birth to send you to MSU for 4 years if the investment account pays 7% for 18 years. Assume the same discount rate for your college years.
The monthly payment the parents need to save since birth will be approximately $299.55.
To calculate the amount your parents need to save each month since your birth to send you to MSU for 4 years, we can use the future value of an ordinary annuity formula.
First, we need to calculate the future value of the college expenses. The annual cost of MSU is $35,000, and the investment account pays a 7% interest rate for 18 years. Using the future value formula, we have:
FV = PMT * ((1 + r)^n - 1) / r
Where:
FV = Future Value
PMT = Monthly payment
r = Interest rate per period (7% divided by 12 months)
n = Number of periods (18 years multiplied by 12 months)
Plugging in the values, we get:
FV = PMT * ((1 + (0.07/12))^(18*12) - 1) / (0.07/12)
Next, we need to solve for PMT, which represents the monthly payment. Rearranging the formula, we have:
PMT = FV * (r / ((1 + r)^n - 1))
Plugging in the values, we get:
PMT = $35,000 * ((0.07/12) / ((1 + (0.07/12))^(18*12) - 1))
Therefore, the monthly payment your parents need to save since your birth will be approximately $299.55.
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Please do assist.
What are your thoughts on "leading by example?" Provide a
rationale to support your conclusion
In conclusion, leading by example is a powerful leadership approach that cultivates trust, motivates others, promotes accountability, and creates a positive organizational culture. It is an essential component of effective leadership.
Leading by example is crucial for effective leadership. By embodying the values, behaviors, and work ethic expected from others, leaders inspire trust, motivation, and accountability. It fosters a positive organizational culture and encourages others to follow suit, resulting in higher productivity and success.
Leading by example means demonstrating the desired qualities and behaviors oneself rather than simply dictating them to others. It has several benefits:
1. Trust and credibility: When leaders lead by example, they build trust among their team members. Actions speak louder than words, and consistent actions aligned with stated values and expectations create credibility.
2. Inspiration and motivation: Observing a leader who consistently demonstrates dedication, passion, and high standards can inspire and motivate others to perform at their best. People are more likely to follow leaders who practice what they preach.
3. Accountability and responsibility: Leading by example sets the tone for accountability within an organization. When leaders hold themselves to high standards and take responsibility for their actions, it encourages others to do the same.
4. Positive culture and teamwork: A leader's behavior influences the overall culture of an organization. By modeling positive traits such as respect, integrity, and collaboration, leaders foster a culture of trust, openness, and teamwork.
5. Performance and success: When leaders lead by example, it sets a benchmark for performance. By consistently demonstrating excellence, leaders inspire their team members to strive for higher levels of achievement, leading to improved productivity and overall success.
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Consider a European put option and a European call option on a \( \$ 40 \) nondividend-paying stock. Both options have 6 months remaining and both have a \( \$ 35 \) strike price. The risk-free intere
a. The no-arb price for the call option is approximately $11.176. b. The call option is in-the-money, and the put option is out-of-the-money. Under the no-arb condition, the call option is more expensive. c. An arbitrageur would buy the underpriced call option and short sell the stock. d. The no-arb price for the put option is approximately $5.824. e. An arbitrageur would sell the overpriced put option and buy the underlying stock.
a. To calculate the no-arbitrage price for the call option, we can use the put-call parity relationship:
Call Price - Put Price = Stock Price - Strike Price * e^(-r * T)
Given that the market price of the put is $6, the stock price is $40, the strike price is $35, the risk-free interest rate is 5% (or 0.05), and the time to expiration (T) is 6 months (or 0.5 years), we can plug in these values:
Call Price - $6 = $40 - $35 * e^(-0.05 * 0.5)
Solving for the Call Price:
Call Price = $40 - $35 * e^(-0.05 * 0.5) + $6 ≈ $11.176
Therefore, the no-arbitrage price for the call option is approximately $11.176.
b. The call option is in-the-money if the stock price is above the strike price, and the put option is in-the-money if the stock price is below the strike price. In this case, since the stock price is $40 and the strike price is $35, the call option is in-the-money and the put option is out-of-the-money. Under the no-arbitrage condition, the call option should be more expensive than the put option.
c. If the quoted market price of the call option is $9, an arbitrageur would likely take the following actions:
Buy the underpriced call option: The arbitrageur would buy the call option at the market price of $9, taking advantage of the lower price.
Short sell the stock: The arbitrageur would borrow and sell the underlying stock at the current stock price of $40.
By buying the call option and short selling the stock, the arbitrageur would create a synthetic long position in the stock, which would be equivalent to buying the stock itself. This strategy allows the arbitrageur to profit from the underpriced call option and the expectation that the stock price will increase.
d. To calculate the no-arbitrage price of the put option when the quoted market price of the call is $9, we can use the put-call parity relationship:
Put Price = Call Price - Stock Price + Strike Price * e^(-r * T)
Given that the market price of the call is $9, the stock price is $40, the strike price is $35, the risk-free interest rate is 5% (or 0.05), and the time to expiration (T) is 6 months (or 0.5 years), we can plug in these values:
Put Price = $9 - $40 + $35 * e^(-0.05 * 0.5)
Solving for the Put Price:
Put Price = $9 - $40 + $35 * e^(-0.05 * 0.5) ≈ $5.824
Therefore, the no-arbitrage price for the put option is approximately $5.824.
e. If the quoted market price of the put option is $6, an arbitrageur would likely take the following actions:
Sell the overpriced put option: The arbitrageur would sell the put option at the market price of $6, taking advantage of the higher price.
Buy the underlying stock: The arbitrageur would buy the underlying stock at the current stock price of $40.
By selling the put option and buying the stock, the arbitrageur would create a synthetic long position in the stock, which would be equivalent to buying the stock itself. This strategy allows the arbitrageur to profit from the overpriced put option and the expectation that the stock price will increase.
At time T, the arbitrageur would exercise the put option if the stock price is below the strike price and deliver the stock to fulfill the option contract. However, if the stock price is above the strike price, the arbitrageur would let the put option expire worthless.
These actions allow the arbitrageur to take advantage of the overpriced put option and generate risk-free profits.
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Complete Question :
Consider a European put option and a European call option on a $40 nondividend-paying stock. Both options have 6 months remaining and both have a $35 strike price. The risk-free interest rate is 5% CCAR. a. The market price of the put is $6. Calculate the no-arb price for the call. b. Which of the options is in-themoney? Which is out-of-the-money? Under the no-arb condition, is the call or the put more expensive? c. Describe the likely actions of an arbitrageur now and at time T if the quoted market price of the call is $9. d. Now as assume the quoted market price of the call is $9.00. Calculate the no-arb price of the put. e. Describe the likely actions of an arbitrageur now and at time T if the quoted market price of the put is $6.
Two mutually exclusive projects require the same $800,000 in initial investment. Afterwards, the first project provides the following cash flows over the next four years: $400,000, $250,000, $200,000, and $600,000. The second project provides the following cash flows over the next four years: $600,000, $200,000, $250,000, and $400,000. The target payback period is 3 years. Which project should you undertake? Explain with appropriate calculations.
The target payback period is three years, Project 1's payback period exceeds the target, whereas Project 2's payback period is less than the target, so Project 2 should be undertaken.
The Payback Period Method determines the time it takes to recover the initial investment of a project. Projects with shorter payback periods are preferred over those with longer payback periods. It is essential to consider whether or not a project's payback period falls within a company's acceptable range or is less than the anticipated useful life of the asset to be bought before determining whether or not to take the project. It is not ideal to have a payback period that exceeds the asset's useful life since the asset would not have produced any income during the last years of its useful life if the project's payback period exceeded the useful life of the asset.
Two mutually exclusive projects require the same $800,000 in initial investment. Afterward, the first project provides the following cash flows over the next four years: $400,000, $250,000, $200,000, and $600,000. The second project provides the following cash flows over the next four years: $600,000, $200,000, $250,000, and $400,000. The target payback period is 3 years. Now, we will calculate the payback period of both projects: Project 1:Year 1 = $400,000Year 2 = $250,000Year 3 = $200,000Year 4 = $600,000Total = $1,450,000Payback Period = 2 + ($350,000 / $600,000) = 2.58 years (approximately)Project 2:Year 1 = $600,000Year 2 = $200,000Year 3 = $250,000Year 4 = $400,000Total = $1,450,000Payback Period = 1 + ($200,000 / $250,000) = 1.8 years (approximately). Since the target payback period is three years, Project 1's payback period exceeds the target, whereas Project 2's payback period is less than the target, so Project 2 should be undertaken.
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An investor buys a Treasury Bill at $9700 with 200 days to maturity. What is the investor's Bond Equivalent Yield?
The investor's Bond Equivalent Yield (BEY) for the Treasury Bill is approximately 9.56%.
To calculate the Bond Equivalent Yield (BEY) of a Treasury Bill, you need to convert the discount rate to an annualized yield. The formula for calculating BEY is as follows:
BEY = (Discount / Purchase Price) * (365 / Days to Maturity)
Given the following information:
- Purchase Price: $9,700
- Days to Maturity: 200
To calculate the Bond Equivalent Yield (BEY), we need the discount amount. The discount is the difference between the face value (par value) of the Treasury Bill and the purchase price.
Let's assume the face value (par value) of the Treasury Bill is $10,000.
Discount = Par Value - Purchase Price
Discount = $10,000 - $9,700
Discount = $300
Now we can calculate the Bond Equivalent Yield (BEY):
BEY = (Discount / Purchase Price) * (365 / Days to Maturity)
BEY = ($300 / $9,700) * (365 / 200)
BEY ≈ 0.0956 or 9.56%
Therefore, the investor's Bond Equivalent Yield (BEY) for the Treasury Bill is approximately 9.56%.
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Evaluate and discuss the requirements of one of the following laws and how it applies in hiring. What does a manager need to do or not do to comply with it? Pregnancy Discrimination Act or Federal labor laws enforced by the National Labor Relations Board (NLRB) including National Labor Relations Act (NLRA)
Pregnancy Discrimination Act is essential to protect pregnant employees from discrimination in the workplace. A manager should comply with the requirements of the PDA by not discriminating against an employee based on pregnancy, childbirth, or related medical conditions.
The act applies to employers with 15 or more employees, and it protects women from being discriminated against due to pregnancy, childbirth, or related medical conditions when it comes to recruitment, hiring, and promotion decisions.
To comply with the PDA, a manager should provide reasonable accommodation to a pregnant employee if the employee requests it, such as allowing her to take breaks for medical reasons or moving her to a less physically demanding job. Employers should also provide equal access to benefits such as health insurance and disability leave for employees with pregnancy-related medical conditions.
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Nina is able to select her weekly work hours. When a new bridge opened, it cut one hour off Nina’s total daily commute to work. Show on a graph the impact of this change on the budget constraint. Suppose that Nina did not change her weekly hours. Does Nina's labor supply curve slope upward, bend backward, or is it vertical? Show on a graph
When the new bridge opened, Nina's budget constraint shifted to the right in a parallel fashion, indicating an increase in the amount of available time for either work or leisure (excluding commuting time).
The graph the impact of this change on the budget constraint.This shift in her constraint created an income effect, allowing her to have the option to work more and consume more leisure. Since both income and leisure are considered normal goods, an increase in income leads to an increase in the quantity demanded for both.
In this scenario, the only way for Nina's income to increase is by working more hours. Therefore, we can conclude that her extra hour per day, gained from the shorter commute, is divided between allocating more time to work and enjoying more leisure. Consequently, Nina chooses to work more hours in response to the increased availability of time.
Based on this analysis, the labor supply curve for Nina would be upward sloping, indicating that as her wage rate increases, she would be willing to supply more labor by working additional hours.
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"Heart Limited has one bond in issue expiring in eight years, paying 0 coupon and has a face value of $1000. It is currently traded at $720, Beta =1.2, risk free rate is 2%, historic market risk premium is 5.5%. Assume the ratio of debt to equity is 2:1, and corporate tax rate is 20%." (c) Determine the WACC for Heart Limited.
The Weighted Average Cost of Capital (WACC) for Heart Limited is 5.73%.
1. Calculate the cost of equity (Ke):
Ke = Risk-Free Rate + Beta * Market Risk Premium
Ke = 2% + 1.2 * 5.5% = 8.6%
2. Calculate the cost of debt (Kd):
Since the bond pays no coupon and is currently traded at a discount, the yield to maturity (YTM) can be used as the cost of debt.
Given that the bond has a face value of $1000 and is currently traded at $720, the discount is $1000 - $720 = $280.
The YTM can be calculated using the bond's discount and time to maturity:
YTM = (Discount / Purchase Price) * (1 / Time to Maturity)
YTM = ($280 / $720) * (1 / 8) = 0.0486 or 4.86%
3. Calculate the weights of equity (We) and debt (Wd):
Since the debt-to-equity ratio is 2:1, the weights can be calculated as follows:
We = 2 / (2 + 1) = 0.6667 or 66.67%
Wd = 1 / (2 + 1) = 0.3333 or 33.33%
4. Calculate the WACC:
WACC = (We * Ke) + (Wd * Kd)
WACC = (0.6667 * 8.6%) + (0.3333 * 4.86%)
WACC = 5.73%
Therefore, the WACC for Heart Limited is 5.73%.
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D O Probabilities of outcomes are shown on the branches emanating from a decision node. Question 14 The procedure for mathematically solving decision trees and determining the optimal policy and EMV is called: O sensitivity analysis O folding back (rollback) O policy iteration Orisk profiling Question 15 2 pts 2 pts Suppose a chance/event node has 3 branches. The first two have probabilities of 0.35 and 0.25 associated with them. Write down the probability associated with the third branch.
The procedure for solving decision trees and determining the optimal policy is called folding back. The probability associated with the third branch is 0.40.
The procedure for mathematically solving decision trees and determining the optimal policy and EMV is called: (Answer: 2) folding back (rollback).
Suppose a chance/event node has 3 branches. The first two branches have probabilities of 0.35 and 0.25 associated with them.
The probability associated with the third branch can be calculated by subtracting the sum of the probabilities of the first two branches from 1. Since the total probability must add up to 1, the probability of the third branch would be 1 - 0.35 - 0.25 = 0.40. Answer: The probability associated with the third branch is 0.40.
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How would bond values change over time in a rising rate environment? Do we currently experience a rising rate environment in the United States? What measures should a bond investor take to manage rate risk?
Bond investors should take measures to manage rate risk in a rising rate environment by investing in short-term bonds, diversifying bond holdings, and investing in bond funds.
Bond values change over time in a rising rate environment because interest rates and bond prices move in opposite directions. When interest rates rise, bond prices decrease, and vice versa. This is because when interest rates rise, new bonds are issued at higher interest rates, which makes existing bonds with lower rates less valuable in comparison. Therefore, bond values would decrease over time in a rising rate environment.Yes, the United States is currently experiencing a rising rate environment.
The Federal Reserve has increased the federal funds rate multiple times since 2015, with the latest increase in December 2018. In addition, the Fed has indicated that it plans to continue raising rates gradually in the coming years. This means that bond investors should take measures to manage rate risk, which is the risk that rising interest rates will negatively impact the value of their bonds.To manage rate risk, bond investors should consider the following measures:Invest in short-term bonds: Short-term bonds have lower interest rate risk than long-term bonds because their maturities are closer to the present, which means that their prices are less sensitive to changes in interest rates. Diversify bond holdings: Diversification can help spread out rate risk across different types of bonds and reduce exposure to any single issuer or sector. For example, an investor could hold a mix of government, corporate, and municipal bonds. Invest in bond funds: Bond funds can provide a diversified portfolio of bonds that are managed by professionals. This can be a good option for investors who do not have the time or expertise to select individual bonds.
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Question 1 (15 marks) Explain how the four (4) factors of the incentive intensity principle apply to: (i) (5 marks) A linear contract with one agent? (ii) (5 marks) A multitasking linear contract with subjective performance evaluation (SPE)? (iii) (5 marks) A linear contract with two (2) agents and with a relative performance evaluation (RPE)?
The incentive intensity principle aims to ensure that agents put forth the required effort to achieve the goals of the contract.
What are the 4 factors?The four factors of the incentive intensity principle are the sensitivity of the contract to effort, the agent's degree of risk aversion, the degree of substitution between effort and other inputs, and the degree of complementarity between effort and other inputs.
These four factors are applied differently depending on the contract type, as described below:
(i) Linear contract with one agent:
(ii) Multitasking linear contract with subjective performance evaluation (SPE):
(iii) Linear contract with two agents and with a relative performance evaluation (RPE):
The sensitivity of the contract to effort: The greater the sensitivity of the contract to effort, the higher the effort level will be.
The agent's degree of risk aversion: The higher the degree of risk aversion, the lower the agent's effort level.
The degree of substitution between effort and other inputs: The lower the degree of substitution, the higher the effort level.
The degree of complementarity between effort and other inputs: The higher the degree of complementarity, the higher the effort level.
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The following data was gathered by the Mc Arthur shoe company, manufacturers of water boots as it was preparing itself to make a decision on the type of aggregate plan that the company should be using. DATA 1. no overtime 2.no subcontracting 3.regular cost of production=$80/pair 4. backorder cost of production=$12/pair 5.hiring cost = $120/pair 6. production/employee 200 pairs/month 7. firing cost = $300/pair 8. workforce = 20 workers prior to the start of the production cycle 9. overtime cost of production = $70/pair inventory carrying/holding=$4/pair/quarter 10.hiring and firing is allowed
In aggregate planning, a company decides the total level of production it needs to maintain for specific time periods in order to match supply and demand while minimizing costs and maximizing profits.
Aggregate planning requires that companies use assumptions that may not exactly match real-world situations. The aggregate plan that the McArthur shoe company should use is to increase the size of its workforce by 25% in the first quarter, and then to reduce its workforce by 20% in the second quarter.
The company should hire 5 more workers, increasing its workforce from 20 to 25, in the first quarter. In the second quarter, the company should reduce its workforce to 20 by firing 5 employees. The production schedule should be 5,000 pairs in the first quarter, with 4,000 pairs sold and 1,000 pairs placed in inventory. In the second quarter, the company should produce 4,000 pairs, with 4,000 pairs sold and no inventory. In addition, the company should produce 20% overtime in each quarter to avoid backorders.
The decision to use overtime is due to the fact that the cost of overtime is lower than the cost of backorders, and the company can still keep the cost of production low. In the first quarter, the company should use 500 hours of overtime, while in the second quarter, the company should use 400 hours of overtime. Finally, the company should produce 500 pairs in the first quarter and 400 pairs in the second quarter as backorders.
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