Consider a hypothetical closed economy in which households spend $0.65 of each additional dollar they earn and save the remaining $0.35. The marginal propensity to consume (MPC) for this economy is , and the spending multiplier for this economy is .

Answers

Answer 1

Answer:

Marginal propensity to consume or MPC = 0.65

Multiplier or k = 2.85714 rounded off to 2.86

Explanation:

The marginal propensity to consume (MPC) is the proportion of increased disposable income that consumers spend. It is a metric to quantify the induced consumption and how an increase in consumer spending occurs as a result of increase in income.

MPC is calculated as follows,

MPC = Change in consumer spending / change in income

MPC = 0.65 / 1

MPC = 0.65

To calculate the multiplier, we simply use the following formula,

Multiplier or k = 1 / (1 - MPC)

k = 1 / (1 - 0.65)

k = 2.85714 rounded off to 2.86

Answer 2

The marginal propensity to consume is a measure in economics that quantifies induced consumption, or the idea that private expenditure grows in tandem with disposable income.

The spending power is the amount of expendable cash spent on consumption by individuals.

The answers to the questions in the context are:

Marginal propensity to consume or MPC = 0.65

Multiplier or k = 2.85714 rounded off to 2.86

The proportion of extra discretionary income spent by the customer is defined as the level of consumption (MPC).

It's a statistic for measuring induced consumption, or how an increase in consumer spending occurs as a result of an increase in income.

 

MPC is calculated as follows,

MPC = [tex]\frac{\text{Change in consumer spending}}{\text{change in income}}[/tex]

MPC = 0.65 / 1

MPC = 0.65

To calculate the multiplier:

Multiplier or k = [tex]\frac{1}{1-MPC}[/tex]

k = [tex]\frac{1}{1-0.65}[/tex]

k = 2.85714 rounded off to 2.86

Therefore,

Marginal propensity to consume or MPC = 0.65

Multiplier or k = 2.85714 rounded off to 2.86

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Related Questions

Which of the following is considered a source of general revenue in the Government-wide Statement of Activities?
A) Charges for Services
B) Operating Grants
C) Sales Tax

Answers

Answer:

C) Sales Tax

Explanation:

The Government-wide Statement of Activities shows the revenues and expenses of the government and the general revenues indicate all the taxes, aid received from other governments and earnings from investments. According to that, the answer is that the option that is considered a source of general revenue in the Government-wide Statement of Activities is sales tax.

You purchased a share of stock for $120. One year later you received $1.82 as a dividend and sold the share for $136. What was your holding-period return

Answers

Answer:

Holding period return =14.85 %

Explanation:

The return on stock is the sum of the dividends earned and capital gains made during the holding period of the investment.

Dividend is the proportion of the profit made by a company which is paid to shareholders.  

Capital gains is another type of the return made on an equity investment as a result of increase in the value of the shares. It is difference between the cost of the share and the value at the time of disposal.

Therefore, we can can compute the return on the investment as follows:

Holding period return = (Dividend + capital gain)/Begin Price of stock × 100  

Dividend = $1.82

Capital gains= 136 - 120 = 16

Total dollar return on Investment = 1.82 + 16= $ 17.82

                                      = 17.82/120 × 100 = 14.85 %

Holding period return =14.85 %

Consider a university that purchases replacement chairs for its classrooms. The purchasing manager knows that the annual demand for replacement chairs is 500. The pricing schedule is as follows: Use the following Excel solution to this quantity discount problem with constant carrying cost. Carrying cost = $ 15 Ordering cost = $ 200 Annual Demand = 500
Quantity Price Q Discount Q Total Cost
100 $130 115.47 115.47 $ 66,732.05
200 $122 115.47 200.00 $ 63,000.00
500 $120 115.47 500.00 $ 63,950.00
What is the inventory ordering cost using the economic order quantity?
A. $1,000
B. $866
C. $500
D. $200

Answers

Answer:

b. $866

Explanation:

Annual demand from the question = D = $500

the ordering cost = S = $200

then the cost of carrying H = $15

we have to calculate the economic order quantity

= sqr(2*D*S)/H

= sqr(2 x 500 x 200)/25

= sqr(13333.3333)

this equals 115.469

which is approximately 115.5

next we have to calculate inventory ordering cost

= (D * S)/EOQ

= 200 *500/115.5

= 865.5

When approximated becomes $866

The inventory ordering cost using the economic order quantity is: B. $866.

First step is to calculate the Economic order quantity

Economic order quantity =√(2×D×S)/H

Where:

D=Annual demand=$500

S=Ordering cost=$200

H=Holding cost =$15

Let plug in the formula

Economic order quantity =(2 x 500 x 200)/15

Economic order quantity =√200,000/15

Economic order quantity =√13333.3333

Economic order quantity =115.46

Economic order quantity = 115.5 (Approximately)

Second step is to calculate the inventory ordering cost using this formula

Inventory ordering cost= (Annual demand× Ordering cost )/Economic order quantity  

Let plug in the formula

Inventory ordering cost= (200×500)/115.5

Inventory ordering cost=100,000/115.5

Inventory ordering cost=$865.8

Inventory ordering cost=$866 (Approximately)

Inconclusion the inventory ordering cost using the economic order quantity is: B. $866.

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Suppose an item sells for​ $125 in the United States and for​ 62,500 pesos in Chile. According to the law of one​ price, the nominal exchange rate​ (pesos/dollar) should be​ ________.

Answers

Answer:

$1 = 500 Pesos

1 Pesos = $0.002

Explanation:

$125 = 62,500 Pesos

$1 = 62,500 / 125

$1 = 500 Pesos

$1 = 500 Pesos

1 Pesos = $1 / 500

1 Pesos = $0.002

The development manager is required to choose between two projects. Project A has an IRR of 25% and project B has an IRR of 30%. Which of the following statements is correct? A. If she can invest only in one project, the manager will choose project B B. None of the statements above is correct C. If she can invest only in one project, the manager will choose project A D. If she can invest in both projects, the manager will choose both projects A and B

Answers

Answer:

A

D

Explanation:

Internal rate of return is the discount rate that equates the after tax cash flows from an investment to the amount invested.

Because the IRR of both projects are positive, both projects are acceptable.

If the manager can only choose one project, she should choose the one with the higher IRR because it would be more profitable.

Evaluate the Ritz-Carlton business model and associate key quality characteristics in the operations of a hotel set-up process.

Answers

Answer:

Ritz Carlton is luxury hotel chain of America. The company has 101 luxury hotel in more than 30 countries of the world. The success of Ritz Carlton is mainly because they keep the comfort of their guests as their highest priority. Their mission statement clearly states that comfort and genuine care of their guests is utmost important to them.

Explanation:

Their business model focuses entirely on their customers. Ritz Carlton has created its leading brand by providing great ambiance to the visitors and its guest. One can dream of staying at such luxury hotel. They are famous for their hospitality of their guests. The hotel management believes on total quality management. It has set highest standard for themselves and strive to meet them by providing better and better service to its guests.

Open space arrangements in workstations increase communication and potentially decrease noise, distractions, and loss of privacy.
a. true
b. false

Answers

Answer:

false

Explanation:

while open space arrangement increases communication, it also increases noise, distractions, and loss of privacy.

Answer:

b. False

Explanation:

Although open space arrangement in a workstation increases communication , yet such communication would eventually lead to an increase noise, distractions and loss of privacy. This is the reason why modern organizations preferred the use of cubicle in demarcating spaces allocated to their employees.

The advantage of using cubicle as demarcation is that there will be less noise and distractions hence leads to increase in productivity . An employee would also have his or her privacy unlike an open space arrangement.

Deming, the proponent of total quality management, argued that management has the responsibility to train employees in new skills.
A. True
B. False

Answers

Answer:

Its TRUE  

Explanation:

Management should train employees in new skill, where Deming argued that management has the responsibility to train employees in new skills to keep pace with changes in the workplace. In addition, he believed that achieving better quality requires the commitment of everyone in the company.

What are the benefits and risks associated with social networks? Support your answers with relevant examples

Answers

Answer:

Explanation:

There are many benefits as well as risks to social networks. The greatest benefit is that they allow us to connect with individuals from anywhere in the world, at any distance, and in a seconds notice. This is incredibly powerful and opens the door for many opportunities in all types of markets. Social networks also come with risks, since everyone is on it people tend to share all of their information which can cause problems for that individual if it falls into the wrong hands. For example, an individual connects with a family member who lives in Brasil and has casual conversations with that family member every other day. A hacker may be able to access that information and extract all the valuable information needed to steal that individual's identity.

Terrance needs to comminicate with managers in several different locations regarding a sensitive complex topic. Therefore he should choose the communication medium highest in information richness which would be a:______

a. Voice mail message.
b. Group email.
c. Videoconference.
d. Recorded presentation.

Answers

The correct answer is b

An investor in the United States bought a one year Brazilian security valued at $195,000 Brazilian reals. The U.S. dollar equivalent was 100,000. The Brazilian security earned 16.00% during the year, but the Brazilian real depreciated 5 cents against the us dollar during the time period ($0.51 to $0.46)

Required:
a. After the transfer of funds back to the united states, what was the investors return on her $100,000?
b. Determine the total ending value of the Brazilian investment in Brazilian reals and then translate this Brazilian value to US dollar’s. Then compute the return on the $100,000.

Answers

Answer:

S

Explanation:

What is the present value of a perpetuity that pays you annual, end-of-year payments of $950? Use a nominal rate (monthly compounding) of 7.50%.

Answers

Answer:

The present value of the perpetuity is $12,242.27.

Explanation:

A perpetuity is an annuity that provide cash flow for an infinite period .Examples are Non -redeemable Preference Share.

Present Value (perpetuity) = Payments ÷ Required Rate

But, first change the 7.50 % nominal rate to Annual Effective Rate to match the period of Cash flow.

Effective Rate = (1 + r / m)^m - 1

                       = ( 1 + 0.0750 / 12) ^12 -1

                       = 7.76%

Therefore, Present Value (perpetuity) = $950 ÷  7.76%

                                                              = $12,242.27

At the certain interest rate, present value (PV) is the current value of a future sum of money or stream of cash flows.

The discount rate determines the present value of the cash flows, and the higher the discount rate, the lower the current value of future cash flows.

The present value of the perpetuity is $12,242.27.

A perpetuity is an annuity that payments out during an indefinite period of time. Non-redeemable Preference Share is an example.

Present Value (perpetuity) = [tex]\frac{\text{Payments}}{\text{Required Rate}}[/tex]

However, to match the Working capital period, change a 7.50 percent nominal rate to a Yearly Effective Tax rate.

[tex]\text{Effective Rate} = (1 + \frac{r}{m} )^m - 1= [1 + \frac{0.0750}{12}]^{12} -1= 7.76\%[/tex]

Therefore, Present Value (perpetuity)= [tex]\frac{\$950}{7.76\%} = $12,242.27[/tex]

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It is always necessary for an agent to disclose the identity of the principal to any third person with whom he is contracting; otherwise the contract becomes void.

a. True
b. False

Answers

B is your answer have a nice day

According to the CAPM, what is the market risk premium given an expected return on a security of 15.8%, a stock beta of 1.1, and a risk-free interest rate of 7%? Multiple Choice 7.70% 6.05% 7.00% 8.00%

Answers

Answer:

The risk premium on market is 8%

Explanation:

The CAPM or Capital Asset Pricing Model is used to calculate the required rate of return on a stock which is the minimum return that is expected or required by the investors to invest in a stock based on its systematic risk as measured by the beta of the stock.

The formula to calculate r under the CAPM is,

r = rRF + Beta * rpM

Where,

rRF is the risk free raterpM is the risk premium on market

To calculate the risk premium on market, we will input the available values for r, rRF and beta in the equation above.

0.158 = 0.07 + 1.1 * rpM

0.158 - 0.07 = 1.1 * rpM

0.088 / 1.1 = rpM

rpM = 0.08 or 8%

So, the risk premium on market is 8%

If the price that determined where marginal revenue equaled marginal cost were below the bottom of the average variable cost curve, then the profit-maximizing, monopolistically competitive firm would

Answers

Answer: c. shut down because it would cost more to produce and sell output than it would to shut down and lose all fixed costs.

Explanation:

The profit maximizing, monopolistically competitive firm maximises profit at the point where marginal revenue equals marginal costs.

If this point is below Average variable costs then that means that the company is not making enough to cover its variable costs. Should this be the case then the company should shutdown operations because variable costs are only there when the company is producing. If they shutdown then they will no longer incur them which would be the cheaper option.

They would take losses on the fixed costs but these have already been incurred so it would be better to lose the fixed costs than continue to make losses on variable costs.

Match each term to the correct defintion. ​

Terms:
a. Benchmarking
b. Efficiency variance
c. Cost variance
d. Standard cost

Definitions:
1. Measures whether the quantity of materials or labor used to make the actual number of outputs is within the standard allowed for the number of outputs.
2. Uses standards based on best practice.
3. Measures how well the business keeps unit costs of materials and labor inputs within standards.
4. A price, cost, or quantity that is expected under normal conditions.

Answers

Answer:

A = 2

B = 1

C = 3

D = 4

Explanation:

If an investor purchases a bond when its current yield is higher than the coupon rate, then the bond's price will be expected to

Answers

Answer:

The answer is: The bond price is expected to Increase over time, reaching par value at maturity

Explanation:

If an investor purchased a bond when the bond current yield-to-maturity is higher than the bond's price, the bond is said to be bought at discount (its price is less than the face value at maturity). With this, the bond price will be expected to Increase over time, reaching par value at maturity.

And when the opposite happens i.e coupon rate higher than the current yield-to-maturity, the bond is said to be bought at premium.

A production department’s beginning inventory cost includes $478,000 of conversion costs. This department incurs an additional $1,047,500 in conversion costs in the month of March. Equivalent units of production for conversion total 770,000 for March.Required:Calculate the cost per equivalent unit of conversion using the weighted-average method.

Answers

Answer: $1.98

Explanation:

Equivalent Units of Production are used when the manufacturers have not completely finished their products for the year. This helps them express it in terms of fully manufactured units.

Using the weighted average method, the cost per equivalent unit is;

= [tex]\frac{Beginning inventory cost + Cost of current production}{Equivalent units of production}[/tex]

= [tex]\frac{478,000 + 1,047,500}{770,000}[/tex]

= $1.98

Gabriel, Harris and Ida are members of Jeweled Watches, LLC. What are their options with respect to the management of their firm?

Answers

Answer:

They could be a Member-managed Limited Liability Company or a Manager-managed Limited Liability Company.

Explanation:

A Limited Liability Company is usually run by two or more partners. In managing this type of company, the members might choose to manage the company themselves. This is known as a member-managed Limited Liability Company. In such cases, if any member makes a decision in behalf of the business, with his signature appended to it, such a decision is considered legally binding on all other members of the company. Every member also has a say in the company's decision-making.

If they choose to be a manager-managed Limited Liability Company, they can appoint one or more non-members to manage the company for them. They do not interfere with how the manager chooses to run the company. They can still make important decisions but this is quite limited. However, they can choose to remove the manager/managers as they will.

The Hirt & Block mutual fund has assets of $147 million, liabilities of $7 million and 7 million shares outstanding. The shares trade at $21.60 per share. What is the percentage load fee?

Answers

Answer: 8%

Explanation:

The load fee would be the excess percentage amount charged on the share over the Net Asset Value per share.

= [tex]\frac{Trading price per share - Net Asset Value per share}{ Net Asset Value per share}[/tex]

Net Asset value Per share = (Assets - Liabilities) / Number of shares

= (147 - 7) / 7

= $20

Load fee

= [tex]\frac{Trading price per share - Net Asset Value per share}{ Net Asset Value per share}[/tex]

= [tex]\frac{21.60 - 20}{20}[/tex]

= 8%

3. There a number of market entry strategies that businesses use in entering into markets outside their countries. a) Distinguish between the use of Franchising and Joint Venture as modes of entry into other countries by global businesses. b) What are the respective advantages and disadvantages of both strategies?

Answers

Answer:

a) Distinguish between the use of Franchising and Joint Venture as modes of entry into other countries by global businesses.

Franchising consists in the licensing of aspects of production and intellectual property to a another party: the franchise.

A Joint Venture is a business union between two or more parties, in which they split profit as well as costs and responsabilities.

b) What are the respective advantages and disadvantages of both strategies?

Franchising can be a quicker way to expand into foreign markets. The flexibility of the method, and the lower capital requirements are the reason why. This can be seen in the success that American fast-food brands have had using this method to expand in global markets.

A Joint-Venture can be more difficult to use for market expansion, however, it can be more profitable, because the profit will not be split among as many parties as in franchising, and more importantly, the firm maintains a higher control of the operation.

A one-month summary of manufacturing costs for Rapid Routers Company follows.

Direct materials $40,000
Direct labour 20,000
Material handling costs 1,500
Product inspection and rework 2,000
Materials purchasing and inspection 500
Routine maintenance and equipment servicing 1,200
Repair of equipment 300

Required:
Classify each cost as value-added or non-value-added

Answers

Answer:

        Cost                                                                 Classification

Direct materials                                                       Value added

Direct labor                                                              Value added

Material handling costs                                           Non-value added

Product inspection and rework                              Non-value added

Materials purchasing and inspection                     Value added

Routine maintenance and equipment                    Non-value added

servicing

Repair of equipment                                                Non-value added

the fair value of Blossom is estimated to be $820,800. The carrying value of Blossom’s net identifiable assets, including the goodwill, at year-end is $855,000. Prepare Cullumber’s journal entry, if necessary, to record impairment of goodwill.

Answers

Answer:

Cullumber Company

Journal Entry:

Debit Loss on Goodwill Impairment $34,200

Credit Goodwill $34,200

To record the loss on goodwill impairment.

Explanation:

a) Data and Calculation:

Fair value = $820,800

Carrying value of net identifiable assets, including goodwill = $855,000

Goodwill impairment = $34,200 ($855,000 - $820,800)

b) Cullumber, which acquired Blossom is expected to check for the impairment of goodwill yearly.  The impairment occurs when the carrying value of the net identifiable assets of Blossom is more than the fair value of Blossom.  Generally Accepted Accounting Standards require the annual review of the fair value of goodwill to check for its impairment.  By the above entry, the goodwill will be reduced by $34,200 and a loss debited in Cullumber's accounts.

TB MC Qu. 7-77 Corbel Corporation has two divisions: Division A and ... Corbel Corporation has two divisions: Division A and Division B. Last month, the company reported a contribution margin of $47,700 for Division A. Division B had a contribution margin ratio of 35% and its sales were $231,000. Net operating income for the company was $27,200 and traceable fixed expenses were $59,700. Corbel Corporation's common fixed expenses were:

Answers

Answer:

Corbel Corporation's common fixed cost  is $41,650

Explanation:

Division A contribution margin       $47,700

Division B contribution Margin       $80,850           $128,550

($231,000 * 35%)

Less: Traceable fixed cost              $59,700

Operating Income                           $27,200           ($86,900)

Common fixed cost                                                   $41,650

If an investor's aversion to risk increased, would the risk premium on a high beta stock increase by more or less than that of a low-beta stock? Explain.

Answers

Answer:

risk premium increases by more of the low - beta stock

A risk averse investor is an investor that avoids risk. if risk aversion increases, it means that the investor is more wary of risky investment.

Beta measures the volatility of a portfolio. the higher the volatility, the more risky the portfolio is.

risk premium measures the rate of return in excess of the risk free rate.

According to CAPM :

risk free rate + (beta x stock risk premium)

Beta is a multiplier of stock risk premium, so the higher the beta, the more there would be an increase in the stock risk premium

If a risk averse investor invests in a high beta stock, he would want extra or higher compensation for holding such a volatile stock. this extra compensation would be in the form of a higher risk premium.

Explanation:

Busch Company has these obligations at December 31. For each obligation, indicate whether it should be classified as a current liability, long-term liability, or both. (a) A note payable for $100,000 due in 2 years. select a balance sheet section (b) A 10-year mortgage payable of $200,000 payable in ten $20,000 annual payments. select a balance sheet section (c) Interest payable of $15,000 on the mortgage. select a balance sheet section (d) Accounts payable of $60,000. select a balance sheet section

Answers

Answer:

Busch Company

Indication of whether the obligation be classified as a current liability, long-term liability, or both:

(a) A note payable for $100,000 due in 2 years. Long-term Liability

(b) A 10-year mortgage payable of $200,000 payable in ten $20,000 annual payments.   Both.

Every year, $20,000 would be classified as Current Liability while the remaining balance is long-term liabilities.

(c) Interest payable of $15,000 on the mortgage. Both

If the interest payable is to be settled at the end of the mortgage, then it is classified as only long-term.

(d) Accounts payable of $60,000. Current Liability

Explanation:

Busch's current liabilities are financial obligations that are due for settlement within the next accounting period of 12 months or less.

The long-term liabilities of Busch Company are those financial obligations that are not due for settlement within the next accounting period.

For some long-term liabilities, Busch may settle some part within 12 months.  That part that can be settled within the accounting period are classified as current while the other parts are non-current.

HighLife Corporation has the following information: Average demand = 30 units per day Average lead time = 40 days Item unit cost = $45 for orders of less than 400 units Item unit cost = $40 for orders of 400 units or more Ordering cost = $50 Inventory carrying cost = 15 percent The business year is 300 days. Standard deviation of demand during lead time = 90 Desired service level = 95 percent What is the EOQ if HighLife pays $45/unit? Due to possible differences in rounding, choose the closest answer.\

Answers

Answer:

365.15 units

Explanation:

The computation of the economic order quantity is shown below:

[tex]= \sqrt{\frac{2\times \text{Annual demand}\times \text{Ordering cost}}{\text{Carrying cost}}}[/tex]

where,

Annual demand is

= 30 units × 300 days

= 90,000 units

ordering cost is $50

Carrying cost is

= $45 × 15%

= $6.75

Now placing these values to the above formula

So, the economic order quantity is

[tex]= \sqrt{\frac{2\times \text{90,000}\times \text{\$50}}{\text{\$6.75}}}[/tex]

= 365.15 units

We simply applied the above formula so that the EOQ could come

The Whistling Straits Corporation needs to raise $74 million to finance its expansion into new markets. The company will sell new shares of equity via a general cash offering to raise the needed funds. The offer price is $45 per share and the company's underwriters charge a spread of 6 percent. If the SEC filing fee and associated administrative expenses of the offering are $825,000, how many shares need to be sold? (Do not round intermediate calculations and enter your answer in dollars, not millions, rounded to the nearest whole number, e.g., 1,234,567.)

Answers

Answer:

1,768,913 new stocks

Explanation:

the company needs to raise amount needed to finance expansion plus SEC's filing and administrative fees = $74,000,000 + $825,000 = $74,825,000

net amount received per stock issued = stock price x (1 - underwriting fee) = $45 x (1 - 6%) = $42.30 per stock

the company needs to issue = $74,825,000 / $42.30 per stock = 1,768,912.53 = 1,768,913 new stocks

A food manufacturer reports the following for two of its divisions for a recent year.
($millions) Beverage Division Cheese Division
Invested assets, beginning $ 2,662 $ 4,455
Invested assets, ending 2,593 4,400
Sales 2,681 3,925
Operating income 349 634
1. Compute return on investment.
2. Compute profit margin.
3. Compute investment turnover for the year.A food manufacturer reports the following for two of its divisions for a recent year.

Answers

Answer and Explanation:

1. Return on investment is

= Operating Income ÷ Average invested Assets

here, average invested assets is

= (Invested assets, beginning + Invested assets, ending) ÷ 2

For Beverage Division

= $349 ÷ (($2,662 + $2,593) ÷ 2)

= $349 ÷ $2,628

= 13.28%

For Cheese Division

= $634 ÷ (($4,455 + $4,400) ÷ 2)

= $634 ÷ $4,428

= 14.32%

2. Profit margin = (Operating income ÷ sales) × 100

For Beverage Division

= ($349 ÷ $2,681) × 100

= 13.02%

For Cheese Division

= ($634 ÷ $3,925) × 100

= 16.15%

3. Investment turnover = Sales ÷ Average Operating Assets

For Beverage Division

= $2,681 ÷ (($2,662 + $2,593) ÷ 2)

= $2,681 ÷ $2,628

= 1.02 times

For Cheese Division, it would be

= $3,925 ÷ (($4,455 + $4,400) ÷ 2)

= $3,925 ÷ $4,428

= 0.89 times

At an output level of 53,000 units, you calculate that the degree of operating leverage is 3.21. If output rises to 57,000 units, what will the percentage change in operating cash flow be? Suppose fixed costs are $175,000. What is the operating cash flow at 46,000 units? The degree of operating leverage? that the degree of operating

Answers

Answer:

If output rises to 57,000 units, what will the percentage change in operating cash flow be?

24.23%

What is the operating cash flow at 46,000 units?

$45,613.84

The degree of operating leverage (at 46,000 units)?

4.84

Explanation:

degree of operating leverage = [quantity x (price - variable costs)] / {[quantity x (price - variable costs)] - fixed costs}

degree of operating leverage x {[quantity x (price - variable costs)] - fixed costs} = [quantity x (price - variable costs)]

3.21 x {[53000 x (contribution margin)] - fixed costs} = [53000 x (contribution margin)]

(3.21 x 53000 x contribution margin) - (3.21 x 175000) = 53000 x contribution margin

let C = contribution margin

170130C - 561750 = 53000C

117130C = 561750

C = 561750 / 117130 = 4.795953

operating cash flow (at 53,000) = (53,000 x $4.795953) - $175,000 = $79,185.52

operating cash flow (at 57,000) = (57,000 x $4.795953) - $175,000 = $98,369.32

% change = ($98,369.32 - $79,185.52) / $79,185.52 = 24.23%

operating cash flow (at 46,000) = (46,000 x $4.795953) - $175,000 = $45,613.84

% change in operating cash flows = ($45,613.84 - $79,185.52) / $79,185.52 = -43.4%

% change in sales = (46,000 - 53,000) / 53,000 = -13.21

degree of operating leverage = $220,613.84 / $45,613.74 = 4.84

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