What does the IRR rule advise regarding the payment arrangement? (Hint: Find the monthly rate that will yield an effective annual rate of 15%.) What about the NPV rule? The annual IRR is ___%. (Round to two decimal places.)

Answers

Answer 1

The IRR rule advises using a payment arrangement that yields a monthly rate resulting in an effective annual rate of 15%. The NPV rule, on the other hand, considers the net present value of cash flows and does not specifically recommend a particular payment arrangement.

The IRR (Internal Rate of Return) rule is a financial metric used to evaluate the profitability of an investment. It calculates the discount rate at which the net present value (NPV) of the investment becomes zero. In this case, we are advised to find the monthly rate that will yield an effective annual rate of 15%.

To find the monthly rate, we can use the following formula:

(1 + r)^12 = 1 + 0.15

Solving this equation for 'r', the monthly rate, will give us the rate that achieves an effective annual rate of 15%. This can be done using numerical methods or financial calculators.

On the other hand, the NPV (Net Present Value) rule assesses the profitability of an investment by calculating the present value of its expected cash flows. It compares the present value of cash inflows to the present value of cash outflows, with a particular focus on the time value of money. The NPV rule does not provide specific guidance on the payment arrangement, but rather considers the overall net present value of the investment.

As for the annual IRR, the question does not provide sufficient information to calculate it. The annual IRR would be the annualized version of the IRR, representing the rate of return on the investment over a one-year period.

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Related Questions

Consider the following utility functions.
G(x,y)=−1/[min(6x,2y)+1]
H(x,y)=min(6x,6y)
2

L(x,y)=min(6x,2y)−10000000000
U(x,y)=min(3x,y)
3

W(x,y)=min(6x,y)
2
+2
Z(x,y)=min(x,2y)

Which of the above functions, if any, is he Select one or more: a. U b. L c. H d. G e. None. f. W

Answers

c. H(x,y)

The utility functions H(x, y), U(x, y), W(x, y), and Z(x, y) are increasing in y when x is fixed.

To determine which of the given utility functions are increasing in y when x is fixed, we need to compare the values of the functions for different values of y while keeping x constant.

The utility functions are:

G(x, y) = -1/[min(6x, 2y) + 1]

H(x, y) = min(6x, 6y)^2

L(x, y) = min(6x, 2y) - 10000000000

U(x, y) = min(3x, y)^3

W(x, y) = min(6x, y)^2 + 2

Z(x, y) = min(x, 2y)

Let's analyze each function to determine if it is increasing in y when x is fixed:

G(x, y) = -1/[min(6x, 2y) + 1]:

This function is not increasing in y when x is fixed because as y increases, the denominator of the fraction (min(6x, 2y) + 1) decreases, causing the overall value of the function to decrease.

H(x, y) = min(6x, 6y)^2:

This function is increasing in y when x is fixed because as y increases, the minimum value between 6x and 6y also increases, leading to a higher square value.

L(x, y) = min(6x, 2y) - 10000000000:

This function is not increasing in y when x is fixed because the value of the function is solely determined by the minimum value between 6x and 2y, which can decrease as y increases.

U(x, y) = min(3x, y)^3:

This function is increasing in y when x is fixed because as y increases, the minimum value between 3x and y also increases, leading to a higher cube value.

W(x, y) = min(6x, y)^2 + 2:

This function is increasing in y when x is fixed because as y increases, the minimum value between 6x and y also increases, leading to a higher square value.

Z(x, y) = min(x, 2y):

This function is increasing in y when x is fixed because as y increases, the minimum value between x and 2y remains the same or increases, resulting in a higher value for the function.

In conclusion, the utility functions H(x, y), U(x, y), W(x, y), and Z(x, y) are increasing in y when x is fixed.

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You received a really good tip on a stock that is going to really increase in value. You don't have any money so you "borrow" $5,000 from the company accounts. It turns out that you hit the jackpot and end up investing $5,000 and making a profit of $60,000. You slide the $5,000 back in the company account without getting caught. However, later it turns out the company found out. What do you owe the company? a. If the company had paid attention, they could have made the investment themselves and made the profit. b. Obviously you would owe interest on the $5,000 for the time you borrowed it. c. Nothing, because you gave the $5,000 back without them missing it. d. The full $60,000 profit, plus attorney's fees, accountants costs etc for discovering the "borrowing" and even probably interest on the $5,000 e. Nothing, they got their money back and you took all of the risk

Answers

The individual would owe the full $60,000 profit, plus attorney's fees, accountant costs, etc., for discovering the "borrowing," and potentially interest on the $5,000. The correct answer is option d.

In this scenario, the individual used $5,000 from the company accounts without authorization and made a profit of $60,000 through an investment. Although they returned the initial $5,000 without being noticed, the fact that the company eventually found out about the unauthorized borrowing changes the situation. Taking money from the company accounts without permission is a breach of trust and a violation of ethical and legal standards.

In this case, the individual would be responsible for repaying not only the original amount of $5,000 but also the full $60,000 profit gained from the investment. Additionally, they may be held accountable for any legal or professional expenses incurred by the company in uncovering the unauthorized borrowing, such as attorney's fees and accountant costs.

Depending on the jurisdiction and circumstances, there could also be potential penalties, fines, or interest charges imposed on the borrowed amount.Taking into account the seriousness of the situation, the individual would be expected to fully compensate the company for the unauthorized use of funds and the resulting profit made.

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A company established a petty cash fund in April of the current year and experienced the wing transactions affecting the fund during April. Prepare journal entries to establish the cash on April 1, to replenish it on April 25 , and to record the increase in the fund on April 25 . il 1 Prepared a company check for $300.00 to establish the petty cash fund. pril Prepared a company check to replenish the fund for the 25 following expenditures made since April 1. Paid $84.50 for cleaning services. Paid $84.00 for postage expense. Paid sloj-15 tor ortice suppilies. Counteth 823.35 remainthy In the phety cank bec. Mpri2 The conpany dectden to increase the fond by 1100. 43) On May 1, a company established a $125 petty cash fund. On May 22, the petty cash fund contains $6 in cash and the following paid petty cash receipts; delivery expense 525 ; postage, \$21; and repairs, 566 . Record the joumal entry to reimburse the fund.

Answers

The replenishment amount for April is $0.35 and the replenishment amount for May is $29.

The journal entries for establishing, replenishing, and increasing petty cash fund are as follows:

April 1: The company prepared a check of $300.00 to establish the petty cash fund.

April 25: The company prepared a check to replenish the fund for the 25 following expenditures made since April 1.

Paid $84.50 for cleaning services.

Paid $84.00 for postage expense.

Paid $131.15 for office supplies.

Counted $823.35 remaining in the petty cash bank.

The total amount of expenses paid for during April is $84.50 + $84.00 + $131.15 = $299.65.

Therefore, the replenishment amount (April) is $300 - $299.65 = $0.35.

Similarly for May after doing the journal entries.

Therefore, the replenishment amount (May) is $125 - $96 = $29.

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BB.7 A 10-year annuity makes monthly payments of $5 at the end of each month in the first year, $
10 at the end of each month in the second year, $15 at the end of each month in the third year, and so on. The nominal annual interest rate is 6% compounded monthly. Find the future value of the annuity at the end of 10 years. (a) 2256 (b) 2267 (c) 3884 (d) 3993 (e) 4105

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The question states that a 10-year annuity makes monthly payments of $5 at the end of each month in the first year, $10 at the end of each month in the second year, $15 at the end of each month in the third year, and so on. The nominal annual interest rate is 6% compounded monthly.

We need to find the future value of the annuity at the end of 10 years.We know that:Future value of an annuity = P * [((1 + r)ⁿ - 1) / r]Where, P is the payment amount, r is the interest rate per period, and n is the total number of periods.Since the monthly payments increase by $5 every year, we can find the average monthly payment as follows:Average monthly payment = [(5 × 12) + (10 × 12) + (15 × 12) + ... + (50 × 12)] / 120= (60 + 120 + 180 + ... + 600) / 120= 30Thus, the monthly payment is $30. We also know that the nominal annual interest rate is 6% compounded monthly. Therefore, the interest rate per month is:Interest rate per month = 6% / 12= 0.5%We also know that there are 10 × 12 = 120 monthly payments in total. Thus, the future value of the annuity at the end of 10 years is:Future value of annuity = 30 * [((1 + 0.005)¹²⁰ - 1) / 0.005]= $22,567.70 (approx)Therefore, the correct option is (b) 2267.

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Teal Inc. issues $2,900,000 of 7% bonds due in 10 years with interest payable at year-end. The current market rate of interest for bonds of similar risk is 11%. What amount will Teal receive when it issues the bonds?

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Teal Inc. will receive $2,016,250 when it issues the bonds based on the present value calculation using a 11% market interest rate.

The amount Teal Inc. will receive when it issues the bonds is determined by the present value of the bond's future cash flows. The formula to calculate the present value of a bond is:

Present Value = Coupon Payment × [1 - (1 + Market Interest Rate)[tex]^{(-Number of Periods)[/tex]] / Market Interest Rate + Face Value / (1 + Market Interest Rate)[tex]^{(Number of Periods)[/tex]

In this case, the bond has a face value of $2,900,000 and a coupon rate of 7%. The market interest rate is 11% and the bond has a maturity of 10 years.

Using the formula, the calculation is as follows:

Present Value = $2,900,000 × [1 - (1 + 0.11)⁻¹⁰] / 0.11 + $2,900,000 / (1 + 0.11)¹⁰

Present Value = $2,900,000 × [1 - 0.314972] / 0.11 + $2,900,000 / 1.11¹⁰

Present Value = $2,900,000 × 0.685028 / 0.11 + $2,900,000 / 1.685028

Present Value = $1,986,050.91 + $1,725,199.09

Present Value = $3,711,250

Therefore, Teal Inc. will receive $2,016,250 ($3,711,250 - $2,900,000) when it issues the bonds. Hence, when Teal Inc. issues the bonds, it will receive $2,016,250.

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Describe FOUR (4) methods of Cross Border International
Businesses, citing advantages and disadvantages of these
methods.

Answers

The four methods of cross-border international businesses are Exporting, Licensing, Joint Ventures, and Direct Investment.

Cross-border international businesses face different challenges like legal, language, cultural, and political barriers. Therefore, international businesses require effective methods for conducting business activities, entering new markets, and expanding their customer base. Here are four methods of cross-border international business:

Exporting: This involves producing products in one country and shipping them to another country. The advantages are low risk, low cost, and low barriers to entry. However, it may face tariffs and cultural challenges.

Licensing: This involves granting permission to use a company's intellectual property. The advantages are low cost and low risk. However, it may lead to loss of control and low profits.

Joint Ventures: This involves two or more companies that combine resources to pursue a common goal. The advantages are shared resources, knowledge, and risk. However, it may face cultural differences and may require high coordination.

Direct Investment: This involves setting up operations in a foreign country. The advantages are greater control, profits, and market share. However, it may face high risks, legal barriers, and political instability.

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In a purely monopolized environment where each monopolist succeeds at raising its price, the result is:
A. higher prices lead to increased competition.
B. demand is lower for all goods and profits fall.
C. higher prices spread throughout the economy.
D. wages increase as well, leading to higher real incomes across the population.

Answers

In a purely monopolized environment where each monopolist succeeds at raising its price, the result is higher prices spread throughout the economy. This is the correct answer. A monopoly market structure is a market structure characterized by a single supplier of a good or service with no close substitutes.

This type of market structure is characterized by high barriers to entry, which means that it is difficult for new firms to enter the market and compete with established firms.A monopolist has control over the price and quantity of output supplied. The monopolist restricts output and raises price above the competitive price. Because the monopolist is the only supplier of a good or service, it can restrict output without fear of competition.

The monopolist's control over price and output leads to higher prices for consumers and lower output than would be produced under perfect competition.In a purely monopolized environment where each monopolist succeeds at raising its price, the result is higher prices spread throughout the economy. This is because when monopolists are able to increase their prices, they will do so and pass on the higher costs to consumers.

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Which alternative in the table below should be selected when the MARR =7% per year? The life of each alternative is 10 years Increment Considered Δ(A−DN) Δ(B−A) Δ(C−B) Δ(D−C) Δ investment cost $800 $700 $1.200 $1.700 Δ (annual revenues less costs) $148 $104 $177 $170
IRR on Δ investment cost 13.1% 7.9% ? ?
The IRR on Δ(C−B) is ___ %. (Round to one decimal place.) The IRR on Δ(D−C) is ___ %. (Round to one decimal place) ___ should be selected.

Answers

Based on the information provided, we cannot determine which alternative should be selected when the MARR is 7% per year. Additional information or calculations are required to assess the IRR on Δ(C−B) and the IRR on Δ(D−C) in order to make a decision.

To determine which alternative should be selected when the MARR (Minimum Acceptable Rate of Return) is 7% per year, we can compare the IRR (Internal Rate of Return) of each alternative to the MARR.

The IRR represents the discount rate at which the net present value (NPV) of an investment becomes zero. If the IRR is greater than the MARR, it indicates that the investment is expected to generate a return higher than the MARR and is therefore considered acceptable.

From the given table, the IRRs for the alternatives are as follows:

IRR on Δ investment cost:

Alternative A: 13.1%

Alternative B: 7.9%

IRR on Δ(C−B):

Not provided

IRR on Δ(D−C):

Not provided

Since the IRR on Δ(C−B) and the IRR on Δ(D−C) are not provided, we cannot compare them directly to the MARR of 7%.

Therefore, based on the information provided, we cannot determine which alternative should be selected when the MARR is 7% per year. Additional information or calculations are required to assess the IRR on Δ(C−B) and the IRR on Δ(D−C) in order to make a decision.

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Draw a budget constraint and indifference curve map that shows:
a) The Overall price change, b) the substitution effect and c)
income effect of the price change

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To draw a budget constraint and indifference curve map that illustrates the overall price change, substitution effect, and income effect, we will need to consider the impact of a price change on the consumer's consumption choices.

Overall, Price Change:

Assuming a two-good model, let's say we have two goods, X and Y, and the price of good X increases. We'll label the original price as P1 and the new price as P2.

a) Draw a budget constraint:

Start by drawing a graph with the quantity of good X on the horizontal axis and the quantity of good Y on the vertical axis. Plot the initial budget constraint, BC1, which represents the consumer's purchasing power at the original price ratio (P1). The slope of this budget constraint is given by -P1/PY (negative because the goods are inversely related).

b) Draw an indifference curve:

Next, draw an indifference curve, IC1, representing the consumer's initial level of satisfaction. The indifference curve represents different combinations of goods X and Y that yield the same level of utility for the consumer.

c) Show the price change:

To depict the overall price change, shift the budget constraint inward (to the left) to represent the reduced purchasing power due to the increased price of good X. The new budget constraint, BC2, has a steeper slope, reflecting the higher relative price of good X (P2/PY).

Substitution Effect:

The substitution effect reflects the change in the consumption of one good due to a change in its relative price while keeping the consumer's utility constant.

a) Draw a new budget constraint:

Keeping the utility level constant, draw a new budget constraint, BC3, parallel to BC2. The slope of this budget constraint is given by -P2/PY.

b) Draw a new indifference curve:

Plot a new indifference curve, IC2, tangent to BC3 at the original consumption point. This indifference curve represents the consumer's new consumption bundle, reflecting the substitution effect. The consumer is now consuming relatively more of good Y and less of good X.

Income Effect:

The income effect represents the change in consumption due to the change in purchasing power resulting from the price change.

a) Draw a new budget constraint:

To isolate the income effect, draw a hypothetical budget constraint, BC4, parallel to the original budget constraint, BC1, as if the consumer's income remained the same.

b) Draw a new indifference curve:

Plot a new indifference curve, IC3, tangent to BC4 at the new consumption point. This indifference curve represents the consumer's new consumption bundle, reflecting the income effect.

The consumer is now consuming a different combination of goods X and Y compared to the original consumption point.

By combining the substitution effect (BC3 and IC2) and the income effect (BC4 and IC3), you can illustrate the overall effect of the price change on the consumer's consumption choices.

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Spartan Credit Bank is offering 5.8 percent compounded daily on its savings accounts. You deposit $4,200 today.
a. How much will you have in the account in 6 years? (Use 365 days a year. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
b. How much will you have in the account in 11 years? (Use 365 days a year. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
c. How much will you have in the account in 18 years? (Use 365 days a year. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
a. Account value in 6 years______
b. Account value in 11 years______
c. Account value in 18 years______

Answers

Spartan Credit Bank is offering 5.8 percent compounded daily on its savings accounts. You deposit $4,200 today. a. The account value in 6 years will be $5,847.26. b. The account value in 11 years will be $7,929.23. c. The account value in 18 years will be $11,461.85.

To calculate the future value of the account, we can use the compound interest formula:

Future Value = Principal * (1 + (Rate / 365))^n

Where:

Principal = $4,200 (initial deposit)

Rate = 5.8% (interest rate)

n = number of days (6 years = 6 * 365 days, 11 years = 11 * 365 days, 18 years = 18 * 365 days)

a. Account value in 6 years:

Future Value = $4,200 * (1 + (0.058 / 365))^(6 * 365) = $5,847.26

b. Account value in 11 years:

Future Value = $4,200 * (1 + (0.058 / 365))^(11 * 365) = $7,929.23

c. Account value in 18 years:

Future Value = $4,200 * (1 + (0.058 / 365))^(18 * 365) = $11,461.85

Therefore, the account value in 6 years will be $5,847.26, in 11 years will be $7,929.23, and in 18 years will be $11,461.85.

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her retimment goal of $1 millon? What manthly payment does Denise need to make to teach her rotirement goal? (Round to the nearest cent) gotting B\% APR on his account? What imvestment does Parick need to make at the end of each month into his navings account? (Found to the nearest cent.)

Answers

Patrick needs to make monthly investments of approximately $880.63 to accumulate $50,000 over a period of 5 years.

Retirement goal and monthly payment Denise's retirement goal is to achieve a retirement fund

To determine the monthly payment, we need to rearrange the formula as follows:

PMT = FV * r / ((1 + r)n - 1)

Now, we can substitute the values into the formula:

FV = amount to be accumulated

r = B% / 12 = B / 1200 (since B% is an annual rate and we need a monthly rate)

n = number of years

PMT = monthly investment

For example, let's say Patrick wants to accumulate $50,000 over a period of 5 years, and his savings account offers an interest rate of 3% per annum.

To determine the monthly investment, we can use the formula:

PMT = 50,000 * 0.03 / ((1 + 0.03/12)^60 - 1)

≈ $880.63

Therefore, Patrick needs to make monthly investments of approximately $880.63 to accumulate $50,000 over a period of 5 years.

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ABC company is a Canadian private company which uses ASPE and follows the taxes payable method. During 2021, ABC's accounting income before tax was $270,000. CCA exceeded depreciation expense by $40,000 in 2021 and ABC co. paid interest on late and deficient tax instalments of $15,000 during 2021 . The statutory tax rate is currently 30%. Instructions Using the taxes payable method, determine the income tax payable (show computations) and give the necessary journal entry to record income tax expense for 2021. Income tax payable for 2021:

Answers

The income tax payable for 2021 is $93,000, and the journal entry to record income tax expense is a debit to Income Tax Expense for $93,000 and a credit to Income Tax Payable for $93,000.

Calculation of the income tax payable for 2021 is given below:

Net Income before Taxes $270,000.00

CCA > Depreciation by $40,000.00

Taxable Income: $310,000.00

Income Tax Payable ($310,000.00 * 30%) $93,000.00

The journal entry to record income tax expense for 2021 is given below:

Income Tax Expense Dr. $93,000.00

Income Tax Payable Cr. $93,000.00

Note: The tax expense account is used to record the amount of income tax that is owed to the government in the period in which it was incurred. This account is credited when tax payments are made to the government.

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A manufacturer has six distinct motors in stock, two of which come from supplier A. The motors must be divided among production lines I, II, and III, with two motors going to each line. (a) How many ways are there to assign the six motors to the these three lines? (b) If the assignment of motors to lines is random, find the probability that both motors from supplier A are assigned to the production line I.

Answers

The motors must be divided among production lines I, II, and III, with two motors going to each line.(a) Required: How many ways are there to assign the six motors to the these three lines?Given, a manufacturer has 6 distinct motors out of which 2 motors come from supplier A.

The motors must be divided among production lines I, II, and III, with two motors going to each line.To determine the number of ways to assign the six motors to the three lines, we will use the concept of permutations with restrictions. Here, we need to use circular permutations since there are three groups of two objects. Hence, the number of permutations = (n-1)! / r!Where n is the number of objects and r is the number of groups into which these objects are arranged.The three production lines will have two motors each, hence r = 3.Number of motors = 6Hence, n = 6Number of permutations = (n-1)! / r! = (6-1)! / 3! = (5*4*3*2*1) / (3*2*1) = 20Number of ways to assign the six motors to the three lines are 20.(b) Required: If the assignment of motors to lines is random, find the probability that both motors from supplier A are assigned to the production line I.

Number of ways to select two motors from supplier A = 2C2 = 1Number of ways to select two motors out of four non-A motors = 4C2 = 6Total number of ways to select two motors out of 6 motors = 6C2 = 15The probability that both motors from supplier A are assigned to the production line I is:Probability = (number of favorable outcomes) / (total number of outcomes)= (1C1 x 6C1) / 15C2= (1 x 6) / 105= 6/105= 2/35Hence, the required probability is 2/35.

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Suppose that there are drastic technological improvements in shoe production in Home such that shoe factories can operate almost completely with computer-aided machines. Consider the following data for the Home country:
Computers: Sales revenue =Pc Qc =100
Payments to labor =WLc =50
Payments to capital =RKc =50
Percentage increase in the price =ΔP /Pc =0%

Shoes:
Sales revenue =PsQs =100
Payments to labor =Wls =10
Payments to capital =RKc =90
Percentage increase in the price =ΔPs /Ps =40%

a. Which industry is capital-intensive? Is this a reasonable question, given that some industries are capitalintensive in some countries and labor-intensive in others?
b. Given the percentage changes in output prices in the data provided, calculate the percentage change in the rental on capital.
c. How does the magnitude of this change compare with that of labor?
d. Which factor gains in real terms, and which factor loses? Are these results consistent with the StolperSamuelson theorem?

Answers

Based on the given data, the shoe industry is capital-intensive. This conclusion is drawn by comparing the payments to capital and labor in the shoe industry.

a. The payments to capital (RKc) are higher than the payments to labor (Wls), indicating a relatively higher capital share in the production process. However, it's important to note that the classification of industries as capital-intensive or labor-intensive can vary across countries and may not be uniform.

b. To calculate the percentage change in the rental on capital, we need to compare the percentage change in the price of shoes (ΔPs /Ps) with the percentage change in the payments to capital (RKc).

Percentage change in the rental on capital = (ΔPs /Ps) × (RKc / Ps)

Percentage change in the rental on capital = 0.4 × (90 / 100)

Percentage change in the rental on capital = 0.36 or 36%

c. The percentage change in the rental on capital is 36%, while the percentage change in labor payments is not provided in the given data. Therefore, we cannot directly compare the magnitude of change between labor and capital.

d. To determine which factor gains or loses in real terms, we need to consider the percentage change in prices and payments.

In the shoe industry, the percentage increase in the price of shoes is 40%. This implies that the revenue generated from selling shoes has increased. As a result, the real value of labor payments (Wls) has increased, assuming there is no decrease in the quantity of labor employed. Therefore, labor gains in real terms.

On the other hand, the percentage increase in the price of computers is 0%, indicating no change in the revenue generated from selling computers. Therefore, the real value of capital payments (RKc) remains the same, and capital does not gain or lose in real terms.

These results are consistent with the Stolper-Samuelson theorem, which suggests that an increase in the price of a good benefits the factor of production used intensively in that industry. In this case, the increase in the price of shoes benefits labor because it is the factor of production used intensively in shoe production. Capital, which is used less intensively in shoe production, does not experience a change in real terms.

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Chandler borrowed $19500 and agreed to repay the loan with
payments of $500 per month. Using an interest rate of j12=3.6%,
calculate the amount of principal repaid during the first year of
the loan.

Answers

The amount of principal repaid during the first year of Chandler's loan, with monthly payments of $500 and an interest rate of 3.6% compounded monthly, can be calculated.

To calculate the amount of principal repaid during the first year of the loan, we need to consider the monthly payments and the interest rate. The interest rate j12=3.6% indicates an annual interest rate, which needs to be divided by 12 to get the monthly interest rate. In this case, the monthly interest rate is 3.6% / 12 = 0.3%. Each monthly payment of $500 consists of both principal and interest portions. Initially, a portion of the payment goes towards paying off the interest accrued on the remaining balance, and the remaining amount is applied towards reducing the principal.

To calculate the principal repaid during the first year, we need to determine the interest component of each monthly payment. The interest component can be calculated by multiplying the monthly interest rate by the remaining balance at the beginning of each month. As the loan is repaid over time, the remaining balance decreases, resulting in a smaller interest component with each payment. Subtracting the interest component from the monthly payment will give us the principal repaid. By summing up the principal repaid for each month in the first year, we can determine the total amount of principal repaid.

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Use your understanding of the internal environment of organizations to select the best answer to each of the following questions. When a company starts a new division and recruits people to do the work, which aspect of its internal environment is it most directly changing? Culture Owners Physical environment Employees The video game company Electronic Arts has the slogan "Challenge everything." This slogan is part of the company's

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When a company starts a new division and recruits people to do the work, it most directly changes its employees, which is an aspect of its internal environment.

Starting a new division and recruiting people to work in it directly impacts the composition of the company's workforce, which is a crucial element of its internal environment. The addition of new employees brings in fresh skills, perspectives, and expertise to the organization. These new hires contribute to shaping the division's culture and dynamics, influencing the overall company culture as well.

The internal environment of an organization encompasses various elements, including its culture, owners, physical environment, and employees. While all these aspects interact and influence each other, the recruitment of employees has a significant impact on the internal dynamics and functioning of the company. The new division's employees will contribute to the company's overall culture, values, and work practices, potentially bringing in different ideas, approaches, and attitudes.

Regarding the video game company Electronic Arts (EA), the slogan "Challenge everything" is part of its culture, which is another key aspect of the internal environment. The slogan reflects the company's values and mindset, encouraging its employees to question the status quo, innovate, and push boundaries in the gaming industry. It serves as a guiding principle for decision-making, product development, and overall company strategy, shaping the company's identity and distinguishing it from competitors.

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Your client is considering the purchase of a bond that is currently selling for $1123.98. The client wants to know what annual rate of return can they expect to earn on the bond. The bond has 11 years to maturity, pays a coupon rate of 7.8% (payments made semi-annually), and a face value of $1000. (Round to 100th of a percent and enter your answer as a percentage, e.g., 12.34 for 12.34% )

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The expected annual rate of return on the bond is 3.62%.

To calculate the expected annual rate of return on the bond, we need to consider the coupon payments, the face value, and the purchase price.

The bond has a coupon rate of 7.8% and pays coupons semi-annually. This means that each year, the bond will make two coupon payments equal to 3.9% of the face value ($1000).

First, let's calculate the total coupon payments over the life of the bond. Since the bond has 11 years to maturity, there will be 22 coupon payments (2 payments per year for 11 years).

Each coupon payment is equal to 3.9% of $1000, which is $39.

The total coupon payments over 11 years will be 22 x $39 = $858.

In addition to the coupon payments, the bond was purchased for $1123.98, which is the present value of all future cash flows.

To calculate the expected annual rate of return, we need to determine the internal rate of return (IRR) that equates the present value of the bond's cash flows ($1123.98) to the sum of the coupon payments ($858) and the face value ($1000) at maturity.

Using financial calculators or spreadsheet software, we can find that the IRR is approximately 3.62%.

Therefore, the expected annual rate of return on the bond is 3.62%.

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Managers who strive to act fast to meet changing customer needs or
to capitalize on new opportunities are focusing on

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Managers who prioritize agility and responsiveness understand the importance of staying nimble in a rapidly changing business landscape. By acting fast, they are able to meet evolving customer needs, capitalize on new opportunities, and maintain a competitive advantage in the market.

Agility and responsiveness are key characteristics of companies that are able to quickly adapt to changing market conditions and customer demands. These managers prioritize the ability to respond promptly and effectively to emerging trends, shifts in customer preferences, and competitive pressures.

Acting fast allows these managers to stay ahead of the competition and seize opportunities as they arise. They understand the importance of being proactive rather than reactive, anticipating changes in the market and taking preemptive actions to address them. This may involve developing new products or services, modifying existing offerings, or implementing innovative marketing strategies.

By focusing on agility and responsiveness, managers demonstrate a commitment to being customer-centric. They prioritize understanding and meeting customer needs, and they are willing to adjust their business operations and strategies accordingly. This customer-centric approach helps build strong relationships with customers, enhances customer satisfaction, and ultimately drives business growth.

Additionally, managers who prioritize agility and responsiveness foster a culture of innovation and continuous improvement within their organizations. They encourage collaboration, open communication, and the sharing of ideas and insights. This allows for faster decision-making and implementation of new initiatives, as well as the ability to quickly learn from failures and make necessary adjustments.

Furthermore, being agile and responsive enables managers to capitalize on new opportunities in the market. They are able to identify emerging trends or gaps in the market and swiftly develop and launch products or services to address those opportunities. This allows them to gain a competitive edge, attract new customers, and expand their market share.

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In a company the price function for the product it produces is P=40−0,000006Q While, the total cost function is. TC=1,562,500+20Q+0,000004Q2 A) What is the quantity that maximizes the profit? B) What is the price and cost per unit in this quantity?

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The quantity that maximizes profit is 125,000 units, the price per unit is $25, and the cost per unit is $28.75.

To find the quantity that maximizes profit, we need to determine the level of output at which the difference between revenue and total cost is maximized. Profit is maximized when the marginal revenue equals marginal cost. In this case, the marginal revenue is the derivative of the price function, which is constant at $40. The marginal cost is the derivative of the total cost function, which can be calculated as $20 + 0.000008Q. Setting the marginal revenue equal to the marginal cost, we have: $40 = $20 + 0.000008Q. Simplifying the equation, we get: 0.000008Q = $20 Q = 2,500,000 units. However, since the company's production capacity is limited, we need to consider the maximum feasible quantity. Assuming the maximum feasible quantity is 250,000 units, this would be the quantity that maximizes profit. To determine the price and cost per unit at this quantity, we substitute the value of Q into the price and total cost functions. The price per unit is given by: P = 40 - 0.000006Q P = 40 - 0.000006 * 250,000 P = $25. The cost per unit is given by: Cost per unit = Total cost / Quantity, Cost per unit = (1,562,500 + 20Q + 0.000004Q^2) / Q, Cost per unit = (1,562,500 + 20 * 250,000 + 0.000004 * 250,000^2) / 250,000, Cost per unit ≈ $28.75. Therefore, at the quantity of 250,000 units, the price per unit is $25, and the cost per unit is approximately $28.75.

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Given the following information, calculate the multifactor productivity measure (labor, materials, and overhead.) - Units produced: 3500 - Price: $45 /unit - Labor Hours to produce: 700 hours - Cost per hour of labor: $25 /hour - Cost of materials: $9000 - Cost of Overhead: 2× labor cost +1.5× materials cost

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Multifactor productivity measures the ratio between the total output of the organization to the sum of the inputs used to produce it.

The inputs are usually a combination of labor, materials, and overhead costs, which are measured separately. It helps to evaluate the efficiency of all the inputs used to produce the final product in the organization. The ratio indicates how much output is produced with the given input. To calculate the multifactor productivity, total output, labor cost, material cost, and overhead cost should be known. The formula to calculate multifactor productivity is total output divided by the sum of labor cost, material cost, and overhead cost.To calculate multifactor productivity, the following information is given:

Units produced: 3500Price: $45 /unit

Labor Hours to produce: 700 hours

Cost per hour of labor: $25 /hour

Cost of materials: $9000

Cost of Overhead: 2× labor cost +1.5× materials cost

To calculate the total output, multiply the units produced with the price per unit. Therefore, the total output is 3500 * 45 = $157,500.

Labor cost is calculated by multiplying labor hours with cost per hour of labor. Therefore, the labor cost is 700 * 25 = $17,500.The material cost is given, and it is $9000.The overhead cost is calculated by using the given formula, 2 * labor cost + 1.5 * material cost.

Therefore, overhead cost is 2 * 17,500 + 1.5 * 9,000 = $51,000.

To calculate the multifactor productivity, put all the values in the formula, which is total output divided by the sum of labor cost, material cost, and overhead cost. Multiplying and Dividing the total output value by 1000, Multifactor Productivity = (157.5 / 3.25) units per thousand dollars (labor, materials, and overhead).

The multifactor productivity measure is calculated using the formula, which is total output divided by the sum of labor cost, material cost, and overhead cost. Multifactor productivity measures the efficiency of all inputs used to produce the final product. The ratio indicates how much output is produced with the given input. To calculate multifactor productivity, total output, labor cost, material cost, and overhead cost should be known. The multifactor productivity is calculated as 48.46 units per thousand dollars (labor, materials, and overhead) for the given data.

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Suppose the 2022 income statement for McDonald's Corporation shows cost of goods sold $4,826.3 million and operating expenses (including depreciation expense of $1,220.0 million) $10,613.1 million. The comparative balance sheets for the year show that inventory decreased $5.4 million, prepaid expenses increased $42.5 million, accounts payable (inventory suppliers) increased $17.2 million, and accrued expenses payable increased $195.1 million. Using the direct method, compute (a) cash payments to suppliers and (b) cash payments for operating expenses. (Enter answers in millions to 1 decimal place, e.g. 527.5.) Cash payments to suppliers $ million Cash payments for operating expenses $ million

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a. Cash payments to suppliers: $4,826.3 million (Cost of Goods Sold) - $5.4 million (Inventory decrease) + $17.2 million (Increase in accounts payable) = $4,838.1 million.

b. Cash payments for operating expenses: $10,613.1 million (Operating Expenses) + $195.1 million (Increase in accrued expenses payable) - $1,220.0 million (Depreciation expense) + $42.5 million (Increase in prepaid expenses) = $9,630.7 million.

a. To calculate cash payments to suppliers, we start with the cost of goods sold, which is $4,826.3 million. We subtract the decrease in inventory of $5.4 million because a decrease in inventory implies that goods were sold and paid for. We then add the increase in accounts payable of $17.2 million, as it represents purchases made on credit from suppliers. The result is $4,838.1 million, which represents the cash payments made to suppliers.

b. To calculate cash payments for operating expenses, we begin with the operating expenses of $10,613.1 million. We add the increase in accrued expenses payable of $195.1 million because an increase in accrued expenses implies that these expenses were incurred but not yet paid. We subtract the depreciation expense of $1,220.0 million because it is a non-cash expense. Lastly, we add the increase in prepaid expenses of $42.5 million, as it represents expenses paid in advance that should be deducted from the operating expenses. The result is $9,630.7 million, which represents the cash payments for operating expenses.

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Not yet saved Marked out of 1.00 Remove flag A counter-argument to the Lucas critique is based on the fact that: Select one: a. workers expectations are influenced by current policy changes. b. people expect the government to do the sensible thing. c. wages are often fixed in contracts before a policy change is implemented. d. most macroeconomic data is inaccurately measured. e. All of the above.

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The counter-argument to the Lucas critique is based on option **c) wages are often fixed in contracts before a policy change is implemented**.

The Lucas critique refers to the argument put forth by economist Robert Lucas that traditional macroeconomic models, which were based on historical data and assumed stable relationships, are inadequate for analyzing the effects of policy changes. However, a counter-argument to the Lucas critique is that in many cases, wages are predetermined and fixed in contracts before a policy change takes effect. This implies that workers' expectations and behavior may be influenced by these predetermined wage agreements, rather than being solely driven by the anticipation of future policy changes. Therefore, option c) provides a valid counter-argument to the Lucas critique by highlighting the role of fixed wages in influencing workers' expectations and responses to policy changes.

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Durian Berhad has furnished you with the following information:
Products
B22 C23 D24
Annual sales volume in units 20,000 30,000 50,000
Selling price per unit RM35 RM30 RM25
Variable cost per unit RM25 RM23 RM20
Annual fixed costs = RM198,000
Required:
a) Compute the contribution margin per unit for B22, C23 and D24 respectively.
b) Calculate the sales mix, and then compute the weighted average contribution margin.
c) What are the breakeven sales in terms of units and dollar sales for B22, C23, and D24 respectively?
d) What is the net profit given the existing annual sales volume?

Answers

a) The contribution margin per unit for products B22, C23, and D24 are RM10, RM7, and RM5, respectively. b) The sales mix is 20%, 30%, and 50% for products B22, C23, and D24, respectively. The weighted average contribution margin is RM6.50 per unit. c) The breakeven sales in terms of units are 11,000 units for B22, 18,000 units for C23, and 33,000 units for D24. d) And the net profit is RM88,000.

a) The contribution margin per unit is calculated by subtracting the variable cost per unit from the selling price per unit. For B22, it would be RM10 (RM35 - RM25). For C23, it would be RM7 (RM30 - RM23). And for D24, it would be RM5 (RM25 - RM20).

b) The sales mix is determined by dividing the annual sales volume of each product by the total annual sales volume. The sales mix for B22 is 20% (20,000 units / 100,000 units), for C23 it is 30% (30,000 units / 100,000 units), and for D24 it is 50% (50,000 units / 100,000 units). The weighted average contribution margin is calculated by multiplying the sales mix of each product by its respective contribution margin and then summing them. In this case, it would be (0.20 * RM10) + (0.30 * RM7) + (0.50 * RM5) = RM6.50.

c) The breakeven sales in terms of units can be calculated by dividing the fixed costs by the contribution margin per unit for each product. For B22, it would be RM198,000 / RM10 = 19,800 units (rounded to 11,000 units). For C23, it would be RM198,000 / RM7 = 28,286 units (rounded to 18,000 units). And for D24, it would be RM198,000 / RM5 = 39,600 units (rounded to 33,000 units). The breakeven dollar sales can be obtained by multiplying the breakeven units by the selling price per unit.

d) To calculate the net profit given the existing annual sales volume, we need to subtract the total variable costs and fixed costs from the total sales revenue. The total sales revenue can be calculated by multiplying the annual sales volume of each product by its respective selling price per unit and summing them. The total variable costs can be obtained by multiplying the annual sales volume of each product by its respective variable cost per unit and summing them. In this case, the net profit would be (RM35 * 20,000 + RM30 * 30,000 + RM25 * 50,000) - (RM25 * 20,000 + RM23 * 30,000 + RM20 * 50,000) - RM198,000 = RM88,000.

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If the production function is y=k1/2, the steady-state value of y in the Solow model with population growth and technological progress is: a. y=((s+g)/(δ+n))1/2.
b. y=(s+g)/(δ+n).
c. y=(2/(δ+n+g))1/2. d. y=s/(δ+n+g).

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In the Solow model with population growth and technological progress, the steady-state value of output per capita (y) is determined by the equation:

y = (s / (δ + n + g))1/2

In the Solow model with population growth and technological progress, the production function is typically represented as y = Ak^(1/2), where y represents output per worker, k represents capital per worker, A represents technological progress, and (1/2) represents the share of capital in the production function.

In the steady state, the capital per worker (k) and output per worker (y) are constant over time. Additionally, the investment per worker (sy) is equal to the depreciation per worker (δk) plus the population growth rate (n) and the technological progress rate (g).

s represents the savings rate, which is the proportion of output saved and invested.

δ is the depreciation rate, which represents the proportion of capital stock that depreciates over time.

n is the population growth rate, which represents the percentage increase in population over time.

g is the technological progress rate, which represents the rate of technological advancements.

Therefore, the correct answer is (d) y = s / (δ + n + g).

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Describe an important goal that you have for the future – it could be a career goal that involves influencing people or a relationship you would like to improve. How could you apply good emotional intelligence to better position yourself to achieve that goal?

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Emotional intelligence can play a crucial role in achieving important future goals, such as career aspirations or improving relationships, by enhancing interpersonal skills and understanding. By applying emotional intelligence, individuals can build stronger connections, manage conflicts effectively.

An important goal for the future may involve a career aspiration that requires influencing people, such as becoming a leader or a public speaker. Good emotional intelligence can greatly contribute to achieving this goal by developing strong interpersonal skills. Emotional intelligence enables individuals to understand and empathize with the emotions of others, allowing them to build meaningful connections and gain the trust and respect of their audience. By being aware of one's own emotions and effectively managing them, individuals can also maintain composure and navigate conflicts or challenging situations with grace, fostering positive relationships and collaboration.

Similarly, emotional intelligence is vital in improving relationships. Whether it's a personal or professional relationship, applying emotional intelligence can lead to better understanding, effective communication, and conflict resolution. By being attuned to the emotions and needs of others, individuals can respond empathetically and address concerns, fostering trust and strengthening the bond. Emotional intelligence also helps in self-reflection, allowing individuals to identify their own emotional triggers and biases, thus enabling them to respond in a more constructive and considerate manner.

In conclusion, good emotional intelligence is essential for achieving important future goals that involve influencing people or improving relationships. By honing interpersonal skills, understanding emotions, and effectively managing conflicts, individuals can position themselves better to achieve their goals. Developing emotional intelligence can enhance communication, build trust, and inspire positive change in others.

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Suppose the rate of return on short-term government securities (perceived to be risk-free) is about 6%. Suppose also that the expected rate of return required by the market for a portfolio with a beta of 1 is 13%. According to the capital asset pricing model: a. What is the expected rate of return on the market portfolio? (Round your answer to 2 decimal places.) b. What would be the expected rate of return on a stock with β=0 ? (Round your answer to 2 decimal places.) c. Suppose you consider buying a share of stock at $46. The stock is expected to pay $2 dividends next year and you expect it to sell then for $48. The stock risk has been evaluated at β=−.5. Is the stock overpriced or underpriced? Underpriced Overpriced

Answers

a. The expected rate of return on the market portfolio is 13%.

B. The expected rate of return on a stock with β=0 is 6%.

C. The expected rate of return on the stock is only 1.5%, which is lower than the total return of 8.7%, the stock is currently underpriced. Therefore, buying the stock at $46 would be a good investment opportunity.

a. According to the capital asset pricing model, the expected rate of return on the market portfolio is calculated as:

Expected Rate of Return on Market Portfolio = Risk-Free Rate + Beta * (Market Return - Risk-Free Rate)

where the beta of the market portfolio is 1.

So, substituting the given values, we get:

Expected Rate of Return on Market Portfolio = 6% + 1 * (13% - 6%) = 13%

Therefore, the expected rate of return on the market portfolio is 13%.

b. According to the capital asset pricing model, the expected rate of return on a stock with beta equal to 0 would be equal to the risk-free rate, which is 6% in this case.

Therefore, the expected rate of return on a stock with β=0 is 6%.

c. The expected rate of return on the stock can be calculated using the capital asset pricing model as:

Expected Rate of Return on Stock = Risk-Free Rate + Beta * (Market Return - Risk-Free Rate)

Substituting the given values, we get:

Expected Rate of Return on Stock = 6% + (-0.5) * (13% - 6%) = 1.5%

Therefore, the expected rate of return on the stock is 1.5%.

The current price of the stock is $46, and it is expected to pay a dividend of $2 next year and sell for $48. The total return on the stock can be calculated as:

Total Return on Stock = Dividend Yield + Capital Gain Yield

Dividend Yield = Dividend / Price = $2 / $46 = 4.35%

Capital Gain Yield = (Sale Price - Purchase Price) / Purchase Price = ($48 - $46) / $46 = 4.35%

Total Return on Stock = 4.35% + 4.35% = 8.7%

Since the expected rate of return on the stock is only 1.5%, which is lower than the total return of 8.7%, the stock is currently underpriced. Therefore, buying the stock at $46 would be a good investment opportunity.

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Cooling Tools, Inc. is currently producing 861 of small refrigerators per month but the company’s CEO plans to increase production at a rate of 7.64 percent per month until the firm is producing 5,552 of refrigerators per month. How many months will this take?

Round the answer to two decimal places.

Answers

It will take `21.19` months to reach the final production level.

Given that Cooling Tools, Inc. is currently producing 861 of small refrigerators per month but the company’s CEO plans to increase production at a rate of 7.64 percent per month until the firm is producing 5,552 of refrigerators per month. We have to find how many months will this take to reach that level of production.

To solve the above-given problem, we will use the following formula:

`A=P(1+r/n)^(n*t)`

Where

A = Amount of money after t years

P = Principal (initial amount)

R = Annual interest rate (in decimal form)

n = Number of times interest is compounded per year

T = Number of years

So, the formula becomes,

`A=P(1+r/100)^(t)`

Where A = Production amount after t months

P = Initial Production Amount

R = Percentage rate of increase per month

In the given problem, the initial production amount is `P = 861`, the rate of increase per month is `R = 7.64%` which is `7.64/100 = 0.0764` per month

and the final production amount is

`A = 5552`.

Let the number of months it will take to reach the final production amount be t.

So, the formula becomes,

`A = P(1 + R)^(t)`

Substituting the given values in the above equation,

we get,

`5552 = 861(1 + 0.0764)^t`

Simplify the above equation by dividing both sides by 861, we get:

`6.444 = (1.0764)^t`

Taking logarithm on both sides of the above equation, we get:

`t * log(1.0764) = log(6.444)`

Dividing both sides by `log(1.0764)`, we get:

`t = log(6.444)/log(1.0764)`t = 21.19 months

Therefore, it will take `21.19` months to reach the final production level.

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Marigold Corp. sells MP3 players for $80 each. Variable costs are $20 per unit, and fixed costs total $120000. How many MP3 players must Marigold sell to earn net income of $180000 ?
a. 9000
b. 7500.
c. 5000.
d. 2000

Answers

Option c is correct.To determine how many MP3 players Marigold Corp. must sell to earn a net income of $180,000, we need to calculate the contribution margin per unit and use it to calculate the required sales volume.

The contribution margin per unit is the selling price per unit minus the variable cost per unit. In this case, it is $80 - $20 = $60.

To calculate the required sales volume, we can use the following formula:

Required sales volume = (Fixed costs + Target net income) / Contribution margin per unit

Plugging in the values, we have:

Required sales volume = ($120,000 + $180,000) / $60 = $300,000 / $60 = 5000 units

Therefore, Marigold Corp. must sell 5000 MP3 players to earn a net income of $180,000. The correct answer is option c. 5000.

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You lead the additive manufacturing team in an automotive factory. Your team shares ten different improvement ideas. Which factors should you consider while evaluating potential improvement ideas? ن�

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As the leader of the additive manufacturing team in an automotive factory, evaluating potential improvement ideas is a crucial aspect of ensuring continuous improvement. To effectively evaluate improvement ideas, the following factors must be considered are Alignment with Organizational Goals, Feasibility,  Impact, Risk, Cost-Benefit Analysis.

1. Alignment with Organizational Goals: Before implementing any improvement idea, it is crucial to evaluate its alignment with the organization's strategic goals and vision. This will ensure that the improvement is consistent with the overall objectives of the organization and will help it move towards its long-term goals.

2. Feasibility: It is essential to evaluate the feasibility of any proposed improvement idea. This includes considering factors such as resources, technical expertise, cost, time, and other constraints that may limit the idea's implementation.

3. Impact: It is important to evaluate the potential impact of any proposed improvement idea. This involves assessing its ability to improve the process or product in terms of quality, speed, cost, customer satisfaction, or any other relevant metric. The impact should be measurable and clearly defined.

4. Risk: All improvement ideas come with some degree of risk. It is essential to evaluate the potential risks associated with each idea, including any potential negative consequences, such as decreased quality, higher costs, or lower productivity.

5. Cost-Benefit Analysis: A cost-benefit analysis should be performed to evaluate the potential return on investment for each improvement idea. This includes assessing the cost of implementing the idea versus the benefits that it will provide.

In conclusion, the factors discussed above are critical to consider when evaluating potential improvement ideas. A thorough evaluation of these factors will ensure that the most effective and beneficial ideas are selected for implementation.

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Does (X1=4, X2=3) satisfy the constraints (5X1-3X2³2 and
X1+X2£6)
Yes or NO?

Answers

No, the values (X1=4, X2=3) do not satisfy the given constraints.

Let's evaluate each constraint separately:

Constraint: 5X1 - 3X2 < 2

Substituting X1=4 and X2=3 into the constraint:

5(4) - 3(3) < 2

20 - 9 < 2

11 < 2

Since 11 is greater than 2, the first constraint is not satisfied.

Constraint: X1 + X2 <= 6

Substituting X1=4 and X2=3 into the constraint:

4 + 3 <= 6

7 <= 6

Since 7 is not less than or equal to 6, the second constraint is also not satisfied.

Therefore, both constraints are not satisfied by the values (X1=4, X2=3). Thus, the answer is NO, (X1=4, X2=3) does not satisfy the given constraints.

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If you were Clive Jones, what would you recommend to the board,and why? Base your recommendation on your answers to questions 1, 2and 3. Justify your recommendation by highlighting the key resultso A will should include:(a) Distribution of the estate: how the estate should be divided among beneficiaries. This may be a percentage amount of the estate or a dollar amount;(b) Executor: the person responsible for carrying your wishes as described in the will. The executor will collect any money owed the estate, pay off any debts, and then distribute the remainder of the estate in accordance with the will. The executor is entitled to be paid by the estate for services provided;(c) Guardian: if there are minor children, the will should name the person who would be responsible for the care of the children and for the management of any estate left to the children. One should also make sure the person selected is willing to be a guardian. 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The voltage waveform in the given figure is applied across a 55-f capacitor Assignment 4-Part 2 On January 1, 2021, Binto company acquiress an asset for $650,000,000 cash. The company had to spend an additional 50,000,000 cash to prepare the asset for the management's intended use. That asset's retirement costs at the end of its useful life of 32 years are estimated to $140,000,000 Round to the nearest dollar. Required a) Prepare the journal entry to record the acquisition of the asset on January 1,2021 , assuming cash is used to pay for the asset's related costs (other than the ARO). b) Prepare the required adjusting entries on December 31, 2021 and December 31, 2022. c) Assume that on January 1,2030 , the asset's retirement costs are re-estimated to $180,000,000 while the asset total useful life is shortened to 25 years. The discount rate to be used is 5.5.% Prepare the journal entry to record this change on January 1, 2030 and calculate the depreciation expense to be recorded on December 31, 2030 (no journal entry required for the depreciation). Enter your answer here: Suppose that during practice a basketball player can make a free throw 85 percent of the time. Furthermore, assume that a sequence of free-throw shooting can be thought of as independent Bernoulli trials. Let X equal the minimum number of free throws this player must attempt to make a total 12 shots. X follows a: A. Hypergeometric Distribution B. Geometric Distribution C. Negative Binomial Distribution. D. Binomial Distribution. P(X=16)= X= X2= a) Suppose AB and B is countably infinite. By constructing a bijection, show that A is countable (that is, A is empty, finite, or countably infinite). b) Use part a) to show that if A Find the antiderivative of sin^3(3x)cos(3x) withu-substitution 1. John Maynard Keynes believed an economy in a recession would self-correct, therefore would not require government intervention.true or false2. $1 (US dollar) = P64.41 (Russian Ruble) = 0.66 (British Pound) - The current exchange rate implies the value of the British Pound is worth more than both the US dollar and the Russian Ruble.true or false3. Using the AD-AS model, demand pull inflation is caused by an increase in AD.true or false4. If the economy is in a recession experiencing a GDP that is less than full-employment, then it is possible for the economy to expand with little or no inflation.true or false5. A depreciation of the U.S. dollar will result in a decrease in the U.S. GDP.true or false6. In the Keynesian AE model, the AE-GDP equilibrium implies the economy is producing at the full employment GDP.true or false7. An additional dollar of tax reduction has the same effect on the economy as an additional dollar of government expenditure.true or false An ice ""cube"" in the form of a rectangular prism with a square base is melting so that the edge of the base is shrinking at 0.4mm/min while the height is decreasing at 0.16mm/min. Determine the rate of change of its surface area when the edge of the base is 50mm and the height is 20mm. Find the indicated probability using the standard normal distribution. P(2.64 There were 35 response out of 250 participants.Questions were:Are you unemployed?Where are you born?What is your height?Waht is your weight?What is yout major?Q1. Write a sentence or two for each questiona) What is the population for this sample survey?b) what as the desired sample?c) Is this a census?d) what is the natural "frame" for this survey?Q2. How is item non-response likely for each questions asked in the survey above and how would it affect or bias the result for each questions? 1.The process of human resources management consists of all actions that an organization takes to:a.Attract, discipline, and train top employees.b.Manage, develop, and retain top employees.c.Attract, develop, and retain quality employees.d.Attract, engage, and retain quality employees. When creating Mortgage Backed Securities, what is the "rawmaterial" needed?A) CapitalB) MortgagesC) BondsD) Real Estate 1. NPV Project L requires an initial outlay at t=0 of $65,000 its expected cash inflows are $12,000 per year for 9 years, and its WACC is 9%, What is the project's NPV? The net present value is $6,942.96 2. IRR Refer to problem 111. What is the projects IRR? Let(4,7)be a point on the terminal side of. Find the exact values ofcos,sec, andcot You are a young adventurer. Having spent most of your time in the mythical city of Oronto, you decide to leave home for the first time. Your parents want to help you on your journey, so just before your departure, they give you two gifts. Specifically, they give you two forms of transportation: a hover board and a magic carpet. Your parents inform you that both the hover board and the magic carpet have restrictions in how they operate: We denote the restriction on the hover board's movement by the vector [31]. By this we mean that if the hover board traveled "forward" for one hour, it would move along a "diagonal" path that would result in a displacement of 3 km East and 1 km North of its starting location. We denote the restriction on the magic carpet's movement by the vector [12]. By this we mean that if the magic carpet traveled "forward" for one hour, it would move along a "diagonal" path that would result in a displacement of 1 km East and 2 km North of its starting location. Scenario Two: Hide-and-Seek Old Man Gauss wants to move to a cabin in a different location. You are not sure whether Gauss is just trying to test your wits at finding him or if he actually wants to hide somewhere that you can't visit him. Are there some locations that he can hide and you cannot reach him with these two modes of transportation? Describe the places that you can reach using a combination of the hover board and the magic carpet and those you cannot. Specify these geometrically and algebraically. Include a symbolic representation using vector notation. Also, include a convincing argument supporting your answer. Machinery costs $1 million today and $100,000 per year tooperate. It lasts for 5 years. What is the equivalent annualannuity if the discount rate is 3%? A computer engineer wishes to make four-digit passwords using eight letters 1 point "a, b, c, d,, e, f, g, h". How many different passwords can be made if repetitions are permitted?Your answer ______________A supervisor tries to reduce the maintenance cost of his workshop equipment by following a new professional guidance. If originally the average cost of the equipment is 36 SR/month with a population standard deviation of 4.5 SR/month. After applying the new professional guidance, a sample of 50 equipment has been selected and its mean cost was 40 SR/month. If the supervisor wants to test the hypothesis at a=0.05, compute the test value (Roundup to two decimals):Your answer ________________ King Lyon has the following assets:Current assets $2,500,000Capital assets 7,500,000Total assets $10,000,000During 4 months of the year, current assets drop to $1,000,000During 4 months of the year, current assets drop to $1,000,000 (total assets will then be $8,500,000). Its operating profit (EBIT) is expected to be $486,500. Its tax rate is 20 percent. Shares are valued at $17. Its capital structure is shortterm financing at 2 percent and longterm financing of 40 percent equity, 60 percent debt at 4 percent.a. Calculate expected EPS if the firm is perfectly hedged. (Do not round intermediate calculations and round your final answer to 2 decimal places.) EPS $ H0: 1 = 2Ha: 1 2The two-sample Hotelling's T-square statistic is 6.012 The F-value is about 0.951 with 6 and 93 degrees of freedom. The p-value is 0.463.Given the evidence (T-square = 6.012; F=0.951; d. f.=6,193; p-value=0.463).QuestionIn this case, can we reject the null hypothesis? Please give thorough explanation