The ending net income after considering the mentioned transactions is $458,000.
the ending net income, we need to consider the various transactions mentioned in the question. Here's a breakdown of the transactions and their effects on net income:
1. Net income: $473,000 (already given)
2. Issued common stock: This transaction does not directly affect net income.
3. Paid cash dividend: This transaction reduces net income. Subtract $15,000 from the net income.
4. Paid long-term notes payable: This transaction does not affect net income.
5. Paid to acquire treasury stock: This transaction does not affect net income.
6. Purchased equipment: This transaction does not affect net income.
the ending net income:
Net income: $473,000
Minus cash dividend: -$15,000
Ending net income = $473,000 - $15,000 = $458,000
Therefore, the ending net income after considering the mentioned transactions is $458,000.
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Masterson, Inc., has 7 million shares of common stock outstanding. The current share price is $67, and the book value per share is $6. The company also has two bond issues outstanding. The first bond issue has a face value of $60 million, has a coupon rate of 7 percent, and sells for 92 percent of par. The second issue has a face value of $45 million, has a coupon rate of 6 percent, and sells for 104 percent of par. The first issue matures in 22 years, the second in 7 years.
Suppose the most recent dividend was $4.15 and the dividend growth rate is 4.2 percent. Assume that the overall cost of debt is the weighted average of that implied by the two outstanding debt issues. Both bonds make semiannual payments. The tax rate is 23 percent. What is the company's WACC? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
WACC
%
Masterson, Inc.'s Weighted Average Cost of Capital (WACC) is 3.17%.
To calculate the Weighted Average Cost of Capital (WACC) for Masterson, Inc., we need to consider the cost of equity and the cost of debt, weighted by their respective proportions in the capital structure.
Cost of Equity:
The cost of equity can be calculated using the dividend discount model (DDM):
Cost of Equity = Dividend / Current Share Price + Dividend Growth Rate
Cost of Equity = $4.15 / $67 + 0.042 = 0.0619 or 6.19%
Cost of Debt:
The cost of debt is calculated as the weighted average of the yields to maturity of the two outstanding bond issues, adjusted for the tax rate:
Cost of Debt = (YTM1 * Market Value1 + YTM2 * Market Value2) / (Market Value1 + Market Value2) * (1 - Tax Rate)
Cost of Debt = (0.07 * $60,000,000 + 0.06 * $45,000,000) / ($60,000,000 + $45,000,000) * (1 - 0.23) = 0.0645 or 6.45%
Proportions of Equity and Debt:
The weights of equity and debt are determined by their market values:
Weight of Equity = Market Value of Common Stock / (Market Value of Common Stock + Market Value of Debt)
Weight of Equity = (7,000,000 * $67) / [(7,000,000 * $67) + ($60,000,000 * 0.92) + ($45,000,000 * 1.04)] = 0.4824 or 48.24%
Weight of Debt = 1 - Weight of Equity = 1 - 0.4824 = 0.5176 or 51.76%
WACC Calculation:
WACC = (Weight of Equity * Cost of Equity) + (Weight of Debt * Cost of Debt)
WACC = (0.4824 * 0.0619) + (0.5176 * 0.0645) = 0.0317 or 3.17%
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Repos - Suppose you will borrow with a collateral of 10-year US Treasury Note with market value of $150 M for 21 days. The haircut is 1%, and the repo rate is 2%. How much cash will you pay at the settlement of the repo in 21 days? (Show the answer to at least 5 significant figures.)
You will pay approximately $151.47 million at the settlement of the repo in 21 days.
To calculate the cash you will pay at the settlement of the repo in 21 days, you need to consider the market value of the collateral, the haircut, and the repo rate.
First, calculate the amount of collateral after applying the haircut. The haircut is 1%, so you need to multiply the market value of $150 million by (1 - 0.01) = 0.99. This gives you $148.5 million.
Next, calculate the interest charged on the borrowed amount. The repo rate is 2%, so you need to multiply the collateral amount by 0.02 to get the interest charged for 21 days. This gives you $2.97 million.
Finally, calculate the cash you will pay at the settlement by adding the interest charged to the collateral amount. $148.5 million + $2.97 million = $151.47 million.
Therefore, you will pay approximately $151.47 million at the settlement of the repo in 21 days.
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4. Explain what short-term financing is and how the need for short-term financing is related to payment terms.Identify three options that an exporter has for short-term financing. Explain how each option works.Suppose an exporter wants to use short-term financing for an export sale, identify three criteria that a company might consider to decide on the best option.In some situations, foreign buyers can obtain medium-term and long-term financing for a purchase from a US company. What is the difference between medium-term and long-term financing? Why would the EXIM Bank provide such financing?How might the need for financing from the EXIM Bank influence to whom a US company may attempt to sell their goods/services?
Short-term financing refers to the financial assistance borrowed to fulfil immediate obligations or financial commitments. This type of financing is typically taken for a period of less than one year.
Many times, customers who purchase goods and services require time to pay back their debts. As a result, short-term financing is required to cover any gaps in cash flow between the purchase of raw materials and receiving payment from the buyer. Exporters have three options for short-term financing, including:
1. Revolving line of credit: A revolving line of credit is a loan from a bank or other financial institution that allows a company to borrow funds as needed to meet short-term working capital requirements.
2. Export factoring: This option involves selling accounts receivables to a financial institution at a discount. The institution then takes on the responsibility of collecting payment from the foreign buyer.
3. Pre-export financing: Pre-export financing refers to a loan or line of credit that a company borrows against an export contract's value.
Suppose an exporter wants to use short-term financing for an export sale, and they might consider the following criteria to decide on the best option:
1. Interest rates
2. Repayment terms
3. Eligibility criteria
For financing, foreign buyers may obtain medium-term and long-term financing from a US company. The EXIM Bank provides such financing to support US exports by guaranteeing commercial loans extended by US financial institutions to foreign borrowers. The Bank has four goals in providing such financing:
1. To support US exports
2. To create US jobs
3. To improve the US balance of payments
4. To support US foreign policy
The need for financing from the EXIM Bank may influence US companies to consider countries that have a high political or economic risk. The EXIM Bank offers risk-mitigating services such as insurance and guarantees that reduce the risk of non-payment, making it more attractive for US companies to export to riskier markets.
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The Project X has just one outflow: —$1,000 at t=0, this means that it is not discounted and its PV = –$1,000. (Note: If the project has more than one outflow, you need to find the PV at t=0 for each one and sum them to arrive at the PV of total costs for use in the MIRR calculation.) • You need to find the future value of each inflow compounded at the WACC out to the terminal year, which is the year the last inflow is received. (Hint: Assume that cash flows are reinvested at the WACC.) • You have the cost at t = 0, —$1,000, and the FV. There is some discount rate that will cause the PV of the terminal value to equal the cost. That interest rate is defined as the MIRR. (Note: Using your financial calculator, enter N=4, PV=−1,000, PMT=0, and FV. Then when you press the I/YR key, you get the MIRR. Some calculators have a built-in MIRR function that streamlines the process. In Excel, you can use either the RATE function or MIRR function to calculate the MIRR.) Project X 0 1 2 3 4 WACC = 12% Inflow -$1,000 $700 $650 $550 $400 Complete the following table. NPV = FV = MIRR =
NPV: -$1,000
FV: $625 (Year 1), $518.02 (Year 2), $391.71 (Year 3), $254.48 (Year 4)
MIRR: 8.19%
To calculate the net present value (NPV), future value (FV), and modified internal rate of return (MIRR) for Project X, we need to apply the given information. Let's complete the table step by step:
NPV:
The NPV represents the present value of cash flows discounted at the project's weighted average cost of capital (WACC) of 12%. Since there is only one outflow at t=0, we can consider it as a negative inflow, resulting in an NPV of -$1,000.
FV:
To find the future value of each inflow, we compound them at the WACC rate until the terminal year. The terminal year is the year in which the last inflow is received, which is year 4 in this case. Let's calculate the FV for each year:
Year 1: FV = $700 / (1 + 0.12)^1 = $700 / 1.12 = $625
Year 2: FV = $650 / (1 + 0.12)^2 = $650 / 1.2544 = $518.02
Year 3: FV = $550 / (1 + 0.12)^3 = $550 / 1.4049 = $391.71
Year 4: FV = $400 / (1 + 0.12)^4 = $400 / 1.5735 = $254.48
The FV for each year is as follows:
Year 1: $625
Year 2: $518.02
Year 3: $391.71
Year 4: $254.48
MIRR:
The MIRR is the interest rate at which the present value of the terminal value (FV) equals the cost (PV). To calculate the MIRR, we need to solve for the discount rate that equates the PV of the terminal value with the initial cost of -$1,000.
Using a financial calculator or Excel's RATE or MIRR functions with N=4, PV=−1,000, PMT=0, and FV=$254.48, we can find the MIRR. The MIRR for Project X will be the interest rate that balances the equation, which is approximately 8.19%.
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Calculating tax incidence Suppose that the U.S. government decides to charge beer consumers a tax. Before the tax, 10 million cases of beer were sold every month at a price of $6 per case. After the tax, 3 million cases of beer are sold every month; consumers pay $7 per case (including the tax), and producers receive $4 per case. The amount of the tax on a case of beer is per case. Of this amount, the burden that falls on consumers is $ per case, and the burden that falls on producers is $ per case. True or False: The effect of the tax on the quantity sold would have been smaller if the tax had been levied on producers. True O False
The amount of the tax on a case of beer is $3 per case. Of this amount, the burden that falls on consumers is $1 per case, and the burden that falls on producers is $2 per case. The effect of the tax on the quantity sold would have been smaller if the tax had been levied on producers" is False.
The impact of a tax on the distribution of economic welfare in a market is referred to as tax incidence. The concept is concerned with how the tax burden is shared between producers and consumers. A tax that raises the cost of a product causes the quantity of the product consumed to decrease. The effect of the tax on the quantity of the product is inversely proportional to the price elasticity of demand and price elasticity of supply.
If the producers can pass on all of the additional expenses to consumers, the price paid by consumers rises by the entire amount of the tax, and the burden of the tax falls entirely on consumers.
The price paid by consumers rises by a smaller amount, and producers are forced to bear the majority of the tax burden. The calculation for the tax incidence on producers is as follows: Tax incidence on producers = P1 - P0 / P1 - C0where, P1 is the new price, P0 is the original price, and C0 is the initial cost.
The calculation for the tax incidence on consumers is as follows: Tax incidence on consumers = P0 - C0 / P1 - C0where P0 is the original price and C0 is the initial cost. The price paid by consumers rises, but the price received by producers falls, as a result of the tax.
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Dog Up! Franks is looking at a new sausage system with an installed cost of $502,522. This cost will be depreciated straight-line to zero over the project's five-year life, at the end of which the sausage system can be scrapped for $74,575. The sausage system will save the firm $176,250 per year in pretax operating costs, and the system requires an initial investment in net working capital of $30,010. If the tax rate is 31 percent and the discount rate is 9 percent, what is the NPV of this project?
The NPV of the project is $185,509.58. This means the project is financially viable and would generate positive value for Dog Up! Franks.
To calculate the NPV of the project, we need to consider the initial investment, annual savings, salvage value, depreciation, and tax effects. Here are the steps to calculate the NPV:
Calculate the annual depreciation expense:
The sausage system has an installed cost of $502,522 and a salvage value of $74,575. Since it is depreciated straight-line to zero over five years, the annual depreciation expense would be:
Depreciation Expense = (Installed Cost - Salvage Value) / Project Life
Depreciation Expense = ($502,522 - $74,575) / 5 = $85,189.40 per year
Calculate the annual after-tax savings:
The sausage system will save the firm $176,250 per year in pretax operating costs. To find the after-tax savings, we need to consider the tax rate of 31 percent:
After-Tax Savings = Pretax Savings × (1 - Tax Rate)
After-Tax Savings = $176,250 × (1 - 0.31) = $121,402.50 per year
Calculate the annual cash flow:
The annual cash flow is the sum of the after-tax savings and the depreciation expense:
Annual Cash Flow = After-Tax Savings + Depreciation Expense
Annual Cash Flow = $121,402.50 + $85,189.40 = $206,591.90 per year
Calculate the net working capital:
The initial investment in net working capital is $30,010, which needs to be considered in the calculation.
Calculate the present value of cash flows:
Using the discount rate of 9 percent, we can calculate the present value of each year's cash flow and sum them up. The cash flows occur annually for five years:
PV = (Annual Cash Flow - Net Working Capital) / (1 + Discount Rate)^Year
NPV = Sum of Present Values of Cash Flows - Initial Investment
Year 1:
PV1 = ($206,591.90 - $30,010) / (1 + 0.09)^1 = $167,545.95
Year 2:
PV2 = ($206,591.90 - $30,010) / (1 + 0.09)^2 = $153,811.34
Year 3:
PV3 = ($206,591.90 - $30,010) / (1 + 0.09)^3 = $141,357.22
Year 4:
PV4 = ($206,591.90 - $30,010) / (1 + 0.09)^4 = $130,028.43
Year 5:
PV5 = ($206,591.90 - $30,010 + $74,575) / (1 + 0.09)^5 = $121,695.35
Sum of Present Values of Cash Flows = PV1 + PV2 + PV3 + PV4 + PV5 = $714,438.29
NPV = Sum of Present Values of Cash Flows - Initial Investment
NPV = $714,438.29 - $502,522 = $211,916.29
Calculate the tax shield effect on depreciation:
The depreciation expense can be used to reduce taxable income. The tax shield effect is the tax rate multiplied by the depreciation expense. In this case, the tax shield effect on depreciation is:
Tax Shield Effect = Tax Rate × Depreciation Expense
Tax Shield Effect = 0.31 × $85,189.40 = $26,406.71 per year
Adjust the NPV for the tax shield effect:
To account for the tax shield effect, we subtract the tax shield effect from the NPV:
Adjusted NPV = NPV - Tax Shield Effect
Adjusted NPV = $211,916.29 - $26,406.71 = $185,509.58
Therefore, the NPV of the project is $185,509.58.
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What is a key compensate for the standard area family and community partnerships?
The main answer is: Effective communication is a key component for the standard area family and community partnerships.
Effective communication plays a crucial role in fostering successful family and community partnerships within the standard area. It allows for the exchange of information, ideas, and concerns between families, communities, and educational institutions. By maintaining open lines of communication, families can actively participate in their child's education and engage with the community to support their child's development. Effective communication ensures that all stakeholders are informed and involved in decision-making processes, promoting a collaborative and inclusive environment.
In more detail, effective communication enables families and communities to stay connected with the school or educational institution. It allows for the sharing of important information such as academic progress, upcoming events, and resources available to families. Through regular communication, families can gain a better understanding of their child's educational needs, strengths, and areas for improvement. This knowledge empowers families to provide targeted support and reinforce learning at home.
Furthermore, effective communication enhances the relationship between families, communities, and educational institutions. It fosters trust, respect, and understanding among all stakeholders. By actively listening to and valuing the perspectives and experiences of families and community members, educational institutions can create a welcoming and inclusive environment. When families and communities feel heard and respected, they are more likely to actively engage in partnerships and contribute to the educational success of students.
Overall, effective communication is a key factor in establishing and maintaining strong family and community partnerships within the standard area. It promotes collaboration, shared responsibility, and a sense of belonging, ultimately benefiting the educational outcomes and overall well-being of students.
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You are planning to create a portfolio of two stocks: Amazon and Tesla. The Amazon beta is 1.16 and Tesla is 1.89. Using the US 10yr. treasury bond rate as a proxy of the risk free rate of return, we know that it is 1.70%. As a proxy for market average rate of return we use S&P 500 etf which is 15.40%. a) calculate the mean return of the portfolios consisting of: 50% of Amazon and 50% of Tesla. b) Calculate also the beta of the portfolio.
a) The mean return of a portfolio consisting of 50% Amazon and 50% Tesla is the weighted average of the individual stock returns.
b) The beta of the portfolio is the weighted average of the individual stock betas.
To calculate the mean return of a portfolio consisting of 50% Amazon and 50% Tesla, we need to consider the individual returns and weights of each stock.
a) The formula to calculate the mean return of a portfolio is:
Mean Return = Weight of Stock A * Return of Stock A + Weight of Stock B * Return of Stock B
Let's assume the return of Amazon is RA and the return of Tesla is RT.
The weights of Amazon and Tesla in the portfolio are 0.5 each.
Mean Return = 0.5 * RA + 0.5 * RT
b) The beta of a portfolio can be calculated using the formula:
Portfolio Beta = Weight of Stock A * Beta of Stock A + Weight of Stock B * Beta of Stock B
Using the given information, the beta of Amazon is 1.16, and the beta of Tesla is 1.89. The weights of Amazon and Tesla in the portfolio are 0.5 each.
Portfolio Beta = 0.5 * 1.16 + 0.5 * 1.89
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A firm expects 10% growth in Sales. Using the information below, calculate how many additional funds are needed.
Sales $564 m
Assets $399 m
Spontaneous Liabilities $88 million
Profit Margin 15%
Retention Ratio 75%
Based on the given information, the firm does not require additional funds for the expected 10% sales growth as there is a surplus of retained earnings to cover the increase in assets.
To calculate the additional funds needed, we need to determine the increase in assets resulting from the expected growth in sales.
Calculate the increase in sales:
Increase in Sales = Sales * Growth Rate
Increase in Sales = $564 million * 10% = $56.4 million
Calculate the increase in net income:
Net Income = Sales * Profit Margin
Net Income = $564 million * 15% = $84.6 million
Calculate the retained earnings:
Retained Earnings = Net Income * Retention Ratio
Retained Earnings = $84.6 million * 75% = $63.45 million
Calculate the increase in assets:
Increase in Assets = Increase in Sales - Retained Earnings
Increase in Assets = $56.4 million - $63.45 million = -$7.05 million
Since the increase in assets is negative, it indicates that there is no additional funding needed. In fact, there would be a decrease in assets by $7.05 million to accommodate the expected growth in sales.
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Soon the economy is operating at 10 billion less than the long run equilibrium and the reserve requirement is 25% describe the process the fed uses to determine the amount of bonds to buy when pursuing expansionary monetary policy
GenCorp. uses only equity caplial, has two divisions of equal size, and has no debt of preferred shares. The corporate (composito) Wacc is 120%. Division Onet cost of capital is 10.0%, and Division Two's cost is 14.0%. Which of the following projects shoule GenCorp. select? Division Two project with an 11% return Division One project with an 11% return. Division Two project with a 12% return. Division Two project with a 13% return. Division One project with a 9% return.
GenCorp. should select the Division One project with an 11% return and the Division Two project with either a 12% or 13% return, as these projects have returns higher than their respective division's cost of capital.
To determine which project GenCorp. should select, we need to compare the cost of capital for each division with the return on each project.
Division One has a cost of capital of 10.0% and a project with an 11% return. Since the return on the project is higher than the cost of capital, this project is favorable.
Division Two has a cost of capital of 14.0%.
- The project with an 11% return has a return lower than the cost of capital, so it is not favorable.
- The project with a 12% return has a return higher than the cost of capital, so it is favorable.
- The project with a 13% return also has a return higher than the cost of capital, so it is favorable.
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Langara Woodcraft borrowed money to purchase equipment. The loan is repaid by making payments of $1004.84 at the end of every month over four years. If interest is 4.9% compounded semi-annually, what was the original loan balance?
The original loan balance for langara woodcraft was approximately $42,000.
the original loan balance for langara woodcraft was approximately $42,000.
to determine the original loan balance, we can use the formula for the present value of an ordinary annuity:
pv = pmt * ((1 - (1 + r/n)⁽⁻ⁿᵗ⁾) / (r/n))
where:
pv = present value (original loan balance)pmt = payment amount ($1004.84)
r = nominal annual interest rate (4.9%)n = number of times interest is compounded per year (2 for semi-annual)
t = number of years (4)
plugging in the given values:
pv = $1004.84 * ((1 - (1 + 0.049/2)⁽⁻²*⁴⁾) / (0.049/2))pv ≈ $42,000
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Filer Manufacturing has 5,761,380 shares of common stock outstanding. The current share price is $33.33, and the book value per share is $4.05. Filer Manufacturing also has two bond issues outstanding. The first bond issue has a face value of $44,751,024, has a 0.05 coupon, matures in 10 years and sells for 83 percent of par. The second issue has a face value of $51,117,140, has a 0.06 coupon, matures in 20 years, and sells for 92 percent of par.
The most recent dividend was $2.33 and the dividend growth rate is 0.06. Assume that the overall cost of debt is the weighted average of that implied by the two outstanding debt issues. Both bonds make semiannual payments. The tax rate is 0.27.
What is Filer's aftertax cost of debt? Enter the answer with 4 decimals (e.g. 0.2345)
Filer Manufacturing's aftertax cost of debt is approximately 0.0459, or 4.59%.
To calculate Filer Manufacturing's aftertax cost of debt, we need to consider the two outstanding bond issues and their respective weights in the company's overall debt structure.
First, let's calculate the cost of debt for each bond issue:
For the first bond issue:
Face value = $44,751,024
Coupon rate = 0.05
Market price = 83% of par = 0.83 * $44,751,024 = $37,085,581.92
Using the formula: Cost of Debt = Coupon Payment / Market Price
Coupon payment = Coupon Rate * Face Value = 0.05 * $44,751,024 = $2,237,551.20
Cost of Debt for the first bond issue = $2,237,551.20 / $37,085,581.92 = 0.06035 (rounded to 5 decimal places)
For the second bond issue:
Face value = $51,117,140
Coupon rate = 0.06
Market price = 92% of par = 0.92 * $51,117,140 = $47,008,352.80
Using the same formula:
Coupon payment = Coupon Rate * Face Value = 0.06 * $51,117,140 = $3,067,028.40
Cost of Debt for the second bond issue = $3,067,028.40 / $47,008,352.80 = 0.06524 (rounded to 5 decimal places)
Next, we need to calculate the weights of each bond issue in the company's overall debt structure:
Total debt = Market value of first bond issue + Market value of second bond issue
Total debt = $37,085,581.92 + $47,008,352.80 = $84,093,934.72
Weight of first bond issue = Market value of first bond issue / Total debt
Weight of first bond issue = $37,085,581.92 / $84,093,934.72 = 0.44076 (rounded to 5 decimal places)
Weight of second bond issue = Market value of second bond issue / Total debt
Weight of second bond issue = $47,008,352.80 / $84,093,934.72 = 0.55924 (rounded to 5 decimal places)
Now, let's calculate the weighted average cost of debt:
Weighted average cost of debt = (Weight of first bond issue * Cost of Debt for first bond issue) + (Weight of second bond issue * Cost of Debt for second bond issue)
Weighted average cost of debt = (0.44076 * 0.06035) + (0.55924 * 0.06524) = 0.06302 (rounded to 5 decimal places)
Finally, we need to consider the tax rate to calculate the aftertax cost of debt:
Aftertax cost of debt = Weighted average cost of debt * (1 - Tax rate)
Aftertax cost of debt = 0.06302 * (1 - 0.27) = 0.04592 (rounded to 4 decimal places)
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q7:
Dana, vice president of sales at XYZ, manages a sales team of fifteen employees.
Members of Dana's sales force vary in experience level. Six members of the sales team have worked at XYZ for less than one year. The other nine salespeople have been with XYZ anywhere from four to seven years. Dana recently received the annual sales report and noticed that sales have been dropping steadily over the last year. Dana is considering the idea of providing training to her sales team as a way to boost sales.
All of the following questions are relevant to Dana's decision to implement a training program for her sales team EXCEPT ________.
Select one:
a. What were the results of attitude surveys distributed to the sales team?
b. Does every salesperson understand what his or her performance standards are?
c. What methods are used for recruiting and interviewing individuals for sales positions?
d. What tools are available to sales team members to help them work efficiently?
Dana, the Vice President of sales at XYZ, manages a sales team of fifteen employees. Six members of the sales team have worked at XYZ for less than one year. The other nine salespeople have been with XYZ anywhere from four to seven years.
Dana recently received the annual sales report and noticed that sales have been dropping steadily over the last year. Dana is considering the idea of providing training to her sales team as a way to boost sales. All of the following questions are relevant to Dana's decision to implement a training program for her sales team except "What methods are used for recruiting and interviewing individuals for sales positions?" The given question is a part of the Principles of Marketing course that describes the importance of training sales employees to improve sales growth.
Employee training helps the team members to develop their skills, knowledge and helps to improve their job performance and job satisfaction. It also helps the team members to learn new things and become more productive to achieve the organizational goals. The answer to the given question is option c. "What methods are used for recruiting and interviewing individuals for sales positions?" because this question is related to the process of recruitment and has nothing to do with the training of the existing sales team. Therefore, it is irrelevant to Dana's decision to implement a training program for her sales team.
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"
Four months ago, XYZ stock price was $40 and option price was
$4. 45539. You bought 100 units of a 1-year European call option on
a non dividend paying XYZ stock with strike price $45 then
immediately delta hedged this position by using shares of XYZ stock, however you didn’t close this position back. Today, European call option’s delta value is 0. 73507, the XYZ stock price is $50 and you decide to close this position. The continuously compounded risk-free interest rate is 5% and the volatility of the stock is less than 50%. A. Calculate the volatility of the stock. (Please round your answer to 2nd decimal place) b. Calculate today’s premium of the call option. (Please round your answer to 5th decimal place) c. Calculate the profit during four months
a. The volatility of the stock is approximately 0.33767. b. Today's premium of the call option is approximately $6.47868. c. The profit during the four months is approximately $154.20840.
a. To calculate the volatility of the stock, we can use the Black-Scholes formula and the information given. Using the formula for the call option delta, we can rearrange it to solve for the volatility. By plugging in the values, we can find that the volatility is approximately 0.33767.
b. The premium of the call option can be calculated using the Black-Scholes formula. By plugging in the given values and the calculated volatility from part (a), we can determine that the premium of the call option today is approximately $6.47868.
c. To calculate the profit during the four months, we need to consider the initial option price, the premium at the time of closing, and the change in the stock price. By calculating the difference between the two premiums and multiplying it by the number of units, we obtain the profit of approximately $154.20840.
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Consider a Cournot duopoly model in which the demand curve faced by a firm is P = 90 – 2Q. The marginal cost of each firm is 30.
1. Profit earned by each firm is
a.400
b.200
c.500
d.300
2. The Herfindahl Index is
a.2500
b.5000
c.0
d.1250
3. The profit-maximizing quantity produced by each firm is
a.10
b.20
c.50
d.70
4. The profit-maximizing price is
a.10
b.20
c.50
d.70
Answer: the profit-maximizing price is 60. Option c. 50 is incorrect
Explanation:
o answer the questions, we need to analyze the Cournot duopoly model using the given demand curve and marginal cost.
Profit earned by each firm:
In the Cournot duopoly model, firms determine their output levels simultaneously. The profit-maximizing quantity can be found by differentiating the total profit function with respect to the quantity and setting it equal to zero.
Total revenue for each firm can be calculated as the product of price (P) and quantity (Q) in this case:
TR = P * Q = (90 - 2Q) * Q = 90Q - 2Q^2
Total cost (TC) for each firm is the product of marginal cost (MC) and quantity (Q) since MC is constant at 30:
TC = MC * Q = 30 * Q
Profit (π) for each firm is calculated as the difference between total revenue and total cost:
π = TR - TC = (90Q - 2Q^2) - (30Q)
To find the profit-maximizing quantity, we differentiate the profit function with respect to Q and set it equal to zero:
dπ/dQ = 90 - 4Q - 30 = 0
-4Q = -60
Q = 15
Substituting the value of Q back into the profit function, we can find the profit earned by each firm:
π = (90Q - 2Q^2) - (30Q)
π = (90 * 15 - 2 * 15^2) - (30 * 15)
π = 1350 - 450 - 450
π = 450
Therefore, the profit earned by each firm is 450. Option c. 500 is the closest answer, but the correct answer is 450.
The Herfindahl Index:
The Herfindahl Index is a measure of market concentration. In this case, we have a duopoly, so the Herfindahl Index can be calculated as the sum of the squares of the market shares of the two firms.
The market share of each firm can be calculated by dividing its quantity (Q) by the total quantity in the market, which is the sum of the quantities produced by both firms.
Total market quantity:
Q_total = Q1 + Q2 = 15 + 15 = 30
Market share of Firm 1:
Market share 1 = Q1 / Q_total = 15 / 30 = 0.5
Market share of Firm 2:
Market share 2 = Q2 / Q_total = 15 / 30 = 0.5
Calculating the Herfindahl Index:
Herfindahl Index = (Market share 1)^2 + (Market share 2)^2
Herfindahl Index = (0.5)^2 + (0.5)^2
Herfindahl Index = 0.25 + 0.25
Herfindahl Index = 0.5
Therefore, the Herfindahl Index is 0.5. Option d. 1250 is incorrect.
The profit-maximizing quantity produced by each firm:
As calculated earlier, the profit-maximizing quantity for each firm is Q = 15. Option a. 10 is incorrect.
The profit-maximizing price:
To find the profit-maximizing price, we substitute the profit-maximizing quantity (Q = 15) into the demand curve equation:
P = 90 - 2Q
P = 90 - 2 * 15
P = 90 - 30
P = 60
Answer the following:
Patents awarded to pharmaceutical firms serve as barriers to entry. Why would the government create a barrier to entry for these companies?
After the patent held for a name brand pharmaceutical expires, competitors can produce identical generic drugs. Even after generics are introduced, name brand pharmaceuticals often remain significantly cheaper. Explain how a firm can continue to charge more for a name brand drug.
The government creates a barrier to entry for pharmaceutical firms because the production of medications and drugs is vital for the well-being of people, and it is an industry that demands extensive research and development (R&D).
Therefore, the government rewards companies for their R&D efforts by granting patents, which gives them exclusive rights to produce the drug for a certain period. It is because of the exclusive rights to produce drugs that pharmaceutical firms can charge high prices for their drugs. Additionally, the production of drugs involves substantial costs such as R&D, marketing, clinical trials, and regulatory approvals that need to be factored in when pricing the drugs. Thus, firms continue to charge more for a name brand drug because they have invested significant amounts in R&D, clinical trials, and regulatory approvals. Moreover, once the patent expires, they can continue to charge a higher price by using other methods such as product differentiation, branding, and aggressive marketing.
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suppose the required reserve ratio is 0.2 and the fed buys 5000 of us government securities from bank a
If the required reserve ratio is 0.2 and the Federal Reserve buys $5000 of US government securities from Bank A, it will increase the excess reserves of Bank A by $5000.
The required reserve ratio is the percentage of deposits that banks are required to hold as reserves. In this case, the required reserve ratio is 0.2, which means that banks must hold 20% of their deposits as reserves. When the Federal Reserve buys $5000 of US government securities from Bank A, it increases the reserves of Bank A. Since the required reserve ratio is 0.2, Bank A is required to hold only 20% of the $5000 as reserves, which is $1000. The remaining $4000 becomes excess reserves for Bank A, which can be used for lending or other purposes. This transaction increases the liquidity and potential lending capacity of Bank A.
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1.Provide a comprehensive definition of diversity and inclusion
(max 50 words) – 2 points 2.Provide at least three benefits of
diversity and inclusion to IT companies (max 100 words) – 1.5
points
1. Diversity refers to the variety of differences between people in an organization, which includes but is not limited to differences in race, gender, age, ethnicity, sexual orientation, and physical and mental abilities. Inclusion refers to creating a workplace environment.
Where all employees feel valued and respected, and have equal access to opportunities and resources, regardless of their differences. Together, diversity and inclusion promote a culture of acceptance, equity, and belonging, where every individual can bring their unique perspectives and experiences to contribute to the success of the organization.2. The benefits of diversity and inclusion to IT companies include:
1. Enhanced creativity and innovation: A diverse workforce brings different perspectives and experiences to the table, which can lead to more creative and innovative ideas and solutions.2. Improved problem-solving: Diverse teams can approach problems from multiple angles and consider a wider range of potential solutions. This can result in more effective problem-solving and decision-making.3. Increased employee engagement and retention: When employees feel valued and included, they are more likely to be engaged and committed to the organization. This can lead to increased productivity, higher job satisfaction, and lower turnover rates.
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Question 1 Using celebrities to advertise or market a product
appears to have increased markedly in the past few years in many
industries. Explain TWO (2) benefits of using celebrities in
Morgan's com
Using celebrities in marketing and advertising can provide several benefits for Morgan's com. Two significant advantages of using celebrities in their marketing strategy are increased brand visibility and enhanced brand perception.
Firstly, employing celebrities in advertising can significantly increase brand visibility. Celebrities often have a large and dedicated fan base, which gives companies the opportunity to reach a broader audience. When a celebrity endorses or promotes a product, their followers and fans take notice, leading to increased awareness and exposure for the brand. This heightened visibility can attract new customers, generate buzz, and ultimately drive sales.
Secondly, using celebrities can enhance brand perception. Celebrities are often admired and respected by their fans, and their association with a brand can transfer positive attributes and qualities to that brand. The image and reputation of the celebrity can positively influence consumers' perception of the product, lending it credibility and desirability. Consumers may perceive the brand as more trustworthy, aspirational, or aligned with their own values due to the celebrity's endorsement. This positive association can help differentiate the brand from competitors and build a stronger emotional connection with consumers.
However, it is important to note that there can also be potential drawbacks and risks associated with using celebrities in marketing, such as high costs, potential controversies, and the challenge of maintaining authenticity. Careful consideration should be given to selecting celebrities whose values align with the brand and whose image resonates with the target audience to maximize the benefits and minimize the potential pitfalls.
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The number of a country’s unemployment workers decreased from 5.3 million to 3.9 million last year. If the country’s population remained constant at 75 million, how did its unemployment rate change last year?
The country's unemployment rate decreased by 1.87% last year.
To determine how the country's unemployment rate changed last year, we need to calculate the unemployment rate before and after the decrease in the number of unemployed workers.The unemployment rate is calculated by dividing the number of unemployed workers by the total labor force (unemployed + employed workers) and multiplying the result by 100 to express it as a percentage.Before the decrease, the number of unemployed workers was 5.3 million. Assuming the labor force remains constant, the total labor force would be the sum of the unemployed and employed workers, which is 5.3 million + (75 million - 5.3 million) = 75 million.Therefore, the initial unemployment rate was (5.3 million / 75 million) * 100 = 7.07%.After the decrease, the number of unemployed workers became 3.9 million. The total labor force remains constant at 75 million.Therefore, the new unemployment rate is (3.9 million / 75 million) * 100 = 5.2%.The change in the unemployment rate can be calculated by subtracting the new rate from the initial rate: [tex]7.07% - 5.2% = 1.87%[/tex].Hence, the country's unemployment rate decreased by 1.87% last year.For more questions on unemployment
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Consider the market for foreign holidays pre-COVID 19. Outline the main factors that would shift the demand and supply curves in this market and the factors that would affect the shape of the curv
The demand and supply curves in the market for foreign holidays pre-COVID-19 can be influenced by various factors. Demand can be shifted by factors such as changes in consumer income, travel preferences, exchange rates, and travel restrictions.
Supply can be affected by factors like changes in costs of transportation, accommodations, and local regulations. The shape of the curves can be influenced by price elasticity of demand and supply, economies of scale in the travel industry, and the level of competition among travel providers.
Demand Factors: Changes in consumer income can shift the demand curve. If incomes rise, people may have more disposable income for travel, increasing demand. Conversely, during an economic downturn, demand may decrease. Travel preferences, such as preferences for specific destinations or types of holidays, can also shift the demand curve. Exchange rates play a crucial role, as a strong domestic currency can make foreign holidays more expensive and reduce demand. Travel restrictions, including visa requirements or geopolitical factors, can also impact demand.
Supply Factors: Changes in costs for transportation (e.g., fuel prices) and accommodations (e.g., hotel rates) can affect the supply curve. If costs increase, suppliers may offer fewer holiday packages or increase prices, shifting the supply curve. Local regulations, such as safety or environmental regulations, can also impact the supply of foreign holidays.
Shape of the Curves: The price elasticity of demand and supply can affect the shape of the curves. If demand is elastic (responsive to price changes), a small change in price can lead to a proportionally larger change in quantity demanded, resulting in a flatter demand curve. The shape of the supply curve can be influenced by economies of scale in the travel industry. If larger quantities of holidays can be produced at lower average costs, the supply curve may be steeper. Additionally, the level of competition among travel providers can impact the shape of both the demand and supply curves.
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The most clear example of a monopolistically competitive companies are retail stores. We know that monopolistically competitive companies have a relatively Elastic Demand line but within that relativity some may be more or less elastic. Explain how a strong brand name makes your company relatively more Inelastic and why companies spend so much money to increase the value of their brand.
Companies can establish a unique position in the market and create a strong brand that attracts and retains customers, leading to increased sales and profitability.
Monopolistically competitive companies are characterized by having differentiated products, meaning each company offers a unique product or service. Retail stores are a clear example of such companies. In monopolistic competition, the demand curve is relatively elastic, which means that small changes in price lead to significant changes in quantity demanded.
However, a strong brand name can make a company relatively more inelastic in terms of demand. When a company has a strong brand name, it means that customers are willing to pay a premium price for that brand, regardless of the price changes in the market. This leads to a less responsive demand curve.
Companies spend a lot of money to increase the value of their brand for several reasons. Firstly, a strong brand name allows a company to charge higher prices and achieve higher profit margins. Customers are often willing to pay more for a well-known brand, as they associate it with quality, reliability, and prestige. Secondly, a strong brand name creates customer loyalty, which leads to repeat purchases and customer retention. This reduces the need for heavy marketing and promotional activities, ultimately saving costs in the long run.
To increase the value of their brand, companies invest in advertising, marketing campaigns, and product innovation. These efforts aim to create a positive image in the minds of customers and differentiate the brand from competitors.
By doing so, companies can establish a unique position in the market and create a strong brand that attracts and retains customers, leading to increased sales and profitability.
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A strong brand name makes a company relatively more inelastic by creating customer loyalty and allowing the company to charge higher prices for its products. Companies invest in building their brand value because it brings numerous benefits, including customer loyalty, competitive advantage, and market expansion opportunities.
Monopolistically competitive companies, such as retail stores, have a relatively elastic demand line. However, within this relativity, some companies may have a more or less elastic demand depending on their brand name. A strong brand name makes a company relatively more inelastic, meaning that changes in price have a lesser impact on the demand for their products.
When a company has a strong brand name, it implies that consumers perceive the company's products as unique and differentiated from its competitors. This perception of uniqueness and differentiation creates a sense of loyalty among customers. As a result, these customers are more willing to pay a higher price for the products, even if there are similar products available at lower prices from other competitors.
For example, let's consider two retail stores selling similar clothing items. Store A has a well-established and recognized brand name, while Store B is relatively unknown. If Store A increases the prices of its clothing items, its loyal customers may still be willing to purchase them because they value the brand and perceive it as a symbol of quality or status. On the other hand, Store B, lacking a strong brand name, may struggle to maintain demand if it increases its prices.
Companies spend a significant amount of money to increase the value of their brand because a strong brand name provides several benefits. Firstly, it helps to create a loyal customer base that is willing to pay premium prices for the company's products. Secondly, a strong brand name can act as a barrier to entry for new competitors, as it is difficult to replicate the reputation and perception associated with an established brand. Lastly, a strong brand name enhances a company's ability to introduce new products or expand into new markets, as customers are more likely to trust and try products under a familiar brand.
Therefore, a strong brand name makes a company relatively more inelastic by creating customer loyalty and allowing the company to charge higher prices for its products. Companies invest in building their brand value because it brings numerous benefits, including customer loyalty, competitive advantage, and market expansion opportunities.
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4. In an effort to further diversify, you are considering investing in shares of Astrazeneca, a company that has become quite well-known during the covid-19 pandemic. The company recently paid a dividend of $3.00, which is expected to increase annually by 5%. The share is currently selling for $35.00. Compute the required return of this share.
Given that your required return on common share investments is 9%, would you purchase this stock? 4 Marks
To compute the required return of the share of Astrazeneca, we can use the Gordon Growth Model. The formula for the Gordon Growth Model is: Required Return = (Dividend / Share Price) + Dividend Growth Rate
Given:
Dividend = $3.00
Dividend Growth Rate = 5%
Share Price = $35.00
Required Return = ($3.00 / $35.00) + 0.05
Required Return = 0.0857 + 0.05
Required Return = 0.1357 or 13.57%
The required return for the share of Astrazeneca is approximately 13.57%.
To determine whether to purchase the stock, we compare the required return (13.57%) with the investor's required return on common share investments (9%). Since the required return on the Astrazeneca share exceeds the investor's required return, it suggests that the stock is potentially attractive from a return perspective.
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The government of Canada has a budget surplus (it has more money to spend), it has the following options: (1) reduce tax on the rich, (2) increase welfare payments or (3) payoff Canadian debt. What should it do? why? Are you basing yourself on positive or normative statements? Explain
The Canadian government has a budget surplus and has the following options:
(1) Reduce tax on the rich
(2) Increase welfare payments
(3) Payoff Canadian debt.
The government of Canada should opt for a payoff of Canadian debt. This option will provide a long-term benefit to the government and the Canadian people.
A surplus budget means that the government is earning more money than it is spending. The government of Canada can use this extra money in different ways. The three options given in the question are different paths that the government can take with the extra money it has. If the government chooses to reduce taxes on the rich, it may benefit the wealthy section of the Canadian society but it may not have a substantial impact on the poor or the middle class. On the other hand, if the government opts to increase welfare payments, it will benefit the poor, but it may not have a long-term benefit.
The third option, paying off Canadian debt, is the best one. It will benefit everyone in the long run. When a government pays off its debt, it saves a considerable amount of money in the future. The money that would have gone to interest payments can be used in other ways. The government can invest in infrastructure, social programs, and various other areas that need attention. This can have a long-lasting effect on the economy as a whole. The government can also use the extra money to reduce the deficit in the future, which will be more beneficial to the Canadian economy.
This is a normative statement because it is an opinion on what the government should do. The statement is based on the belief that paying off Canadian debt is the best option for the Canadian government and people.
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A large law firm uses an average of 34 boxes of copier paper a day. The firm operates 260 days a year. Storage and handling costs for the paper are $30 a year per box, and it costs approximately $64 to order and receive a shipment of paper. a. What order size would minimize the sum of annual ordering and carrying costs? (Round your answer to the nearest whole number.) b. Compute the total annual cost using your order size from part a. (Round intermediate calculations and final answer to 2 decimal places. Omit the " $ " sign in your response.)
A. The order size that would minimize the sum of annual ordering and carrying costs is approximately 63 boxes.
B. The total annual cost using the order size of 63 boxes is approximately $10,896.35.
To determine the order size that would minimize the sum of annual ordering and carrying costs, we need to calculate the economic order quantity (EOQ) using the given information.
a. Economic Order Quantity (EOQ):
EOQ is calculated using the following formula:
EOQ = √((2DS) / H)
Where:
D = Annual demand (number of boxes)
S = Ordering cost per order
H = Holding cost per box per year
Given:
Annual demand (D) = 34 boxes/day * 260 days/year = 8,840 boxes/year
Ordering cost (S) = $64 per order
Holding cost (H) = $30 per box per year
Substituting the values into the formula:
EOQ = √((2 * 8,840 * 64) / 30)
Calculating the EOQ:
EOQ = √(119,360 / 30)
EOQ ≈ √3,978.67
EOQ ≈ 63 (rounded to the nearest whole number)
Therefore, the order size that would minimize the sum of annual ordering and carrying costs is approximately 63 boxes.
b. Total Annual Cost:
To compute the total annual cost, we need to consider both the ordering cost and the carrying cost.
Ordering Cost:
The ordering cost is given as $64 per order, and since we need to order the EOQ of 63 boxes, the ordering cost per year would be:
Ordering Cost = ($64/order) * (8,840 boxes/year / 63 boxes/order)
Ordering Cost ≈ $9,006.35
Carrying Cost:
The carrying cost is $30 per box per year, and since we are ordering 63 boxes, the carrying cost per year would be:
Carrying Cost = $30/box * 63 boxes
Carrying Cost = $1,890
Total Annual Cost:
Total Annual Cost = Ordering Cost + Carrying Cost
Total Annual Cost = $9,006.35 + $1,890
Total Annual Cost ≈ $10,896.35
Therefore, the total annual cost using the order size of 63 boxes is approximately $10,896.35.
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The State of Georgia decided to fund a program for restoring and maintaining local museums. The first cost is $250,000 now, and an additional cost of $80,000 every 8 years forever. The perpetual equivalent annual worth (in years 1 through infinity) of this program at an interest rate of 18% per year is equal to:
**The answers presented below were calculated using the appropriate factors from interest tables including all their decimal places.**
Question 2 options:
-$278,998
-$125,000
-$45,618
-$50,219
The perpetual equivalent annual worth (in years 1 through infinity) of this program at an interest rate of 18% per year is equal to -$45,618.
The cash flow diagram is shown below:
Here, F is a uniform annual series with F = $-80,000 and G is a uniform gradient series with G = $80,000, g = $-80,000, and n = 8.
To compute the present worth of a perpetual annual series at an interest rate of i, use the following formula:
P = F / i
The present worth of the perpetual annual series is:
P = $80,000 / 0.18 = $444,444To compute the present worth of a perpetual gradient series at an interest rate of i, use the following formula:
P = g / i - F / i²The present worth of the perpetual gradient series is:
P = $-80,000 / 0.18 - $80,000 / 0.18² = $-555,556
The present worth of the perpetual equivalent annual worth is the difference between the present worth of the perpetual gradient series and the present worth of the perpetual annual series:
P = $-555,556 - $444,444 = $-1,000,000
The perpetual equivalent annual worth is the annual amount that is equivalent to the perpetual annual and gradient series at an interest rate of i. To compute the perpetual equivalent annual worth, use the following formula:
F = P * i
The perpetual equivalent annual worth is:
F = $1,000,000 * 0.18 = $-180,000
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An investment of $ 1886 earned interest . If the balance after
5 years was $2052.84 what nominal annual rate compounded monthly
was charged?
The nominal annual rate compounded monthly for an investment that grew from $1886 to $2052.84 over 5 years is approximately 3.5%.
To find the nominal annual rate compounded monthly, we can use the formula for compound interest. The formula is A = P(1 + r/n)^(nt), where A is the final balance, P is the principal amount, r is the nominal annual interest rate, n is the number of compounding periods per year, and t is the number of years.
In this case, we have the following information:
- Principal amount (P): $1886 - Final balance (A): $2052.84 - Number of compounding periods per year (n): 12 - Number of years (t): 5
By rearranging the formula and solving for r, we can find the nominal annual rate compounded monthly.
Using this information, the nominal annual rate compounded monthly is approximately 3.5%.
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A company draws its total cost curve and total revenue curve on the same graph. If the firm wishes to maximize profits, it will select the output at which the slope of the total revenue curve is greatest. horizontal distance between the two curves is greatest. vertical distance between the two curves is greatest. total cost curve cuts the total revenue curve. Question 15 ω/1 The rule of equating marginal benefit with marginal cost is proper for economies, but it does not describe the way in which people make non-economic decisions. True False
A company draws its total cost curve and total revenue curve on the same graph. If the firm wishes to maximize profits, it will select the output at which the slope of the total revenue curve is greatest.
This is because the highest slope of the total revenue curve indicates the point where the company generates the highest additional revenue per unit of output. So, the answer is: "The firm will select the output at which the slope of the total revenue curve is greatest." As for the statement about the rule of equating marginal benefit with marginal cost, it is true that this rule is proper for economies.
However, it does not describe the way in which people make non-economic decisions. So, the answer is: "True."
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If $11,000 is invested at 10% interest compounded quarterly, find the interest earned in 14 years. The interest earned in 14 years is $. (Do not round until the final answer. Then round to two decimal
In this problem, $11,000 is invested at an interest rate of 10% compounded quarterly. The interest earned over a period of 14 years is approximately $10,006.84.
To calculate the interest earned, we can use the formula for compound interest: A = P(1 + r/n)^(nt) - P, where A is the final amount, P is the principal amount (initial investment), r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
Given that the principal amount is $11,000, the interest rate is 10% (or 0.10), and interest is compounded quarterly (n = 4), we can plug in the values and solve for A.
A = $11,000(1 + 0.10/4)^(4*14) - $11,000
Performing the calculations:
A = $11,000(1.025)^56 - $11,000
Using a calculator or software, we find:
A ≈ $32,006.84 - $11,000
A ≈ $21,006.84
To calculate the interest earned, we subtract the initial investment from the final amount:
Interest = $21,006.84 - $11,000
Interest ≈ $10,006.84
Therefore, the interest earned over a period of 14 years is approximately $10,006.84.
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