A vendor at a carnival sells cotton candy and caramel apples for $2.00 each. The vendor is charged $60 to set up his booth. Furthermore, the vendor’s average cost for each product he produces is approximately $0.80.

a. Write a linear cost function representing the cost C(x) (in $) to the vendor to produce x products.b. Write a linear revenue function representing the revenue R(x) (in $) for selling x products.c. Determine the number of products to be produced and sold for the vendor to break even.d. If 60 products are sold, will the vendor make money or lose money?

Answers

Answer 1

Answer with its Explanation:

Requirement A. The cost function is equal to variable cost for "x" units and fixed cost which remains fixed. Hence:

Cost Function = C(x) = $60  +  $0.8x

Requirement B. The revenue for any units "x" sold can be calculated by simply multiplying "x" with sales price per unit. Which means that:

Revenue Function = R(x) = $2 * x  = $2x

Requirement C. Now we have to find the breakeven quantity and this could be calculated using the following formula:

Breakeven Point = Fixed Cost / (Selling Price per Unit  - Variable Cost Per Unit)

By putting values we have:

Breakeven Point = $60 / ($2 - $0.8)    = 50 units

Requirement D. As the number of units are above breakeven point (No profit and loss position), hence making sales above 50 units will generate profit for the company.

The profit for the company would be:

Total Profit = Contribution per unit * Units above Breakeven point

Total Profit = ($2 - $0.8)  *  10 Units = $12


Related Questions

rancis Inc.'s stock has a required rate of return of 10.25%, and it sells for $87.50 per share. The dividend is expected to grow at a constant rate of 6.00% per year. What is the expected year-end dividend, D1

Answers

Answer:

$3.72

Explanation:

Francis incorporation stock has a required rate of return of 10.25%

The stock is sold at $87.50 per share

The growth rate is 6% per year

Therefore, the expected dividend can be calculated as follows

= Po(rs-g)

= $87.50(10.25%-6%)

= $87.50×4.25

= $3.72

Hence the expected year end dividend is $3.72

Discount factor is 0.985. Stock XYZ is selling for $40 a share. An American option on this stock with a strike price of $38 is trading at $0.25 per share. If it is known that this option is priced above its intrinsic value, what type of option is it?

Answers

Answer:

Put option

Explanation:

We have current price 40dollars - strike price 38dollars = $2. The question says the stock is trading at $0.25 per share. Since 0.25 is higher than 0 it is a put option. And the intrinsic value is $2.

The put option gives one the right to sell a particular number of shares at a price that has been set which is referred to as the strike price before a certain date.

Cantor Corporation acquired a manufacturing facility on four acres of land for a lump-sum price of $9,000,000. The building included used but functional equipment. According to independent appraisals, the fair values were $4,500,000, $3,000,000, and $2,500,000 for the building, land, and equipment, respectively. The initial values of the building, land, and equipment would be:

Answers

Answer:

Initial value of building = $4,050,000

Initial value of land = $2,700,000

Initial value of equipment = $2,250,000

Explanation:

The fair value of an asset refers to a unbiased estimate of the likely market price of the asset.

The initial value of a fixed asset refers to the amount of money that spent to acquire or create the asset.

The initial value of each asset from a group of asset can be calculated using the following formula:

Initial value of an asset = Lump-sum price * (FVA / TFV) ............ (1)

Where, from the questio;

Lump-sum price = $9,000,000

FVA = Fair value of a particular asset. From the question, we have:

Building fair value = $4,500,000

Land fair value = $3,000,000

Land fair value  = $2,500,000

TFV =Total fair value = Building fair value + Land fair value + Land fair value = $4,500,000 + $3,000,000 + $2,500,000 = $10,000,000

Substituting the values into equation (1), we can determine the initial value of each asset as follows:

Initial value of building = $9,000,000 * ($4,500,000 / $10,000,000) = $9,000,000 * 0.45 = $4,050,000

Initial value of land = $9,000,000 * ($3,000,000 / $10,000,000) = $9,000,000 * 0.30 = $2,700,000

Initial value of equipment = $9,000,000 * ($2,500,000 / $10,000,000) = $9,000,000 * 0.25 = $2,250,000

Bronn tells Jaime, "I really like your armor." Jaime responds, "I will sell it to you for $800." Bronn states, "Sure, and throw in your sword too." Jaime then writes out the contract, detailing only that he will sell Bronn his armor and the sword. He also lists the delivery date for next Wednesday. The next week on the day of performance, Jaime fails to deliver the armor and sword. Bronn sues him for breach of contract, but Jaime claims the contract is not enforceable because it was missing the price. When Bronn filed his lawsuit, which of the following needed to be included in the written contract for enforceability?
a. signature of both parties
b. price subject
c. matter
d. delivery
e. performance

Answers

Answer:

B. price subject

Explanation:

For this contract to be enforceable, it must include price, matter and delivery date. These aspects are all best essential and should be included in the contract. From the question when Jaime wrote the contract he failed to detail the price they agreed upon. Even though the rest were included. Therefore this contract cannot be enforced since it is missing this important aspect. Option b is the answer to the question

A consumer plays the role of:


A)a wage earner.

B)a saver.

C)a borrower.

D)All of these choices are correct.

Answers

Answer:

c) borrower

Explanation:

A consumer plays the role of a borrower. The consumer is the important role in the economy. Thus, option (c) is correct.

What is consumer?

The term “consumer” means purchasing a product or service for the purpose of personal use. The consumer are consumed the product and services. The consumer are buying the product and services with exchange of money.

According to the role of the consumer are the played in the significant role of the economy. The business are the sale of the goods and the services are the borrower are the paid the money to the business. The economy cycle was the continue run.

As a result, the consumer plays the role of a borrower. The consumer is the significant role in the economy. Therefore, option (c) is correct.

Learn more about on consumer, here:

https://brainly.com/question/13420317

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Question 59 of 83 Project M requires an initial investment of $25 million. The project is expected to generate $2.25 million in after-tax cash flow each year forever. Calculate the IRR for the project. 10% 9% 8% 7%

Answers

Answer:

9%

Explanation:

In order to calculate the internal rate of return (IRR) for a project that yields cash flows perpetually, we need to divide the yearly cash flow by the project's initial outlay:

IRR = $2,250,000 / $25,000,000 = 0.09 = 9%

The IRR represents the discount rate at which the project's net present value (NPV) equals 0.

It is important negotiators consider the shadow negotiation carefully before meeting with the other party so they:________

a. understand where the boundaries of the current negotiations are and should be.
b. are clear in their own minds about the scope of the negotiations.
c. understand how they would ideally like to work with the other party.
d. determine what ground the negotiation is going to cover and how the negotiators are going to work together.
e. understand that all the above are important to the shadow negotiations.

Answers

Answer:

b. are clear in their own minds about the scope of the negotiations.

Explanation:

Shadow negotiations refer to the unspoken assumptions that determine how those involved in a deal with each other, whose opinions get heard, whose interests hold sway. Therefore, this is important so the negotiators are clear in their own minds about the scope of the negotiations. Meaning that they go into the negotiation knowing who has more bargaining power and how far they can actually take the negotiation.

Which of the following goals of a performance evaluation system is accomplished when the company's actual results are compared to industry standards?
A) Benchmarking
B) Motivating unit managers
C) Promoting goal congruence
D) Providing feedback

Answers

Answer:

A) Benchmarking

Explanation:

Benchmarking refers to a process in which the performance of the company could be measured with respect to the product, services, processes as compared with the industry performance

Here in the given situation, when an actual result is compared with the industry standards than we called as a benchmarking and the same is to be used for the evaluation of the performance system

Almost certainly you have seen vending machines being serviced on your campus and elsewhere. On a predetermined schedule the vending company checks each machine and fills it with various products. This is an example of which category of inventory model?

Answers

Answer:

Fixed Time Period Model

Explanation:

a fixed time period model ensures that level of inventory is checked regularly for all items. therefore from the question, if the vending company checks each machine and fills it with various product the inventory method is Fixed Time Period Model.

Long-Term Solvency Ratios Summary data from year-end financial statements of Palm Springs Company for 2017 follow.
Summary Income Statement Data
Sales $11,692,900
Cost of goods sold 5,135,000
Selling expenses 938,000
Administrative expenses 780,000
Interest expense 2,210,000
Income tax expense 905,000 9,968,000
Net income $1,724,900
Summary Balance Sheet Data
Cash $117,000
Total liabilities $900,000
Noncash assets 1,183,000
Stockholders' equity 400,000
Total assets $1,300,000
Total liabilities and equity $1,300,000
Round answers to two decimal places.
a. Compute the ratio of times-interest-earned.
b. Compute the debt-to-equity ratio.

Answers

Answer:

a. Compute the ratio of times-interest-earned.

times-interest-earned = EBIT / interest expense

EBIT = $4,839,900interest expense = $2,210,000

times-interest-earned = $4,839,900 / $2,210,000 = 2.19

b. Compute the debt-to-equity ratio.

debt-to-equity ratio = total liabilities / total stockholders' equity

total liabilities = $900,000total stockholders' equity = $400,000

debt-to-equity ratio = $900,000 / $400,000 = 2.25

Improvements in labor​ productivity: A. affect the level of​ wages, but do not affect the rate of economic growth. B. affect the level of​ profit, but do not affect the rate of economic growth. C. contribute to economic growth. D. hinder economic​ growth, because they cause unemployment.

Answers

Answer:

C. contribute to economic growth

Explanation:

Economic growth is an increase in the the production of  goods and services produced in an economy.

Improvements in labor​ productivity increases the output of labour and as a result contributes to economic growth.

Tax Services prepares tax returns for senior citizens. The standard in terms of​ (direct labor) time spent on each return is hours. The direct labor standard wage rate at the firm is per hour. Last​ month, direct labor hours were used to prepare tax returns. Total wages were .

Answers

Answer:

Tax Services

Total wages were:

= hourly wage rate * total hours spent on returns for the month

For example, if the hourly wage rate is $50 and the total hours spent on the returns equal 560 hours, the total wages will be equal to $28,000 ($50 x 560).

Explanation:

The Tax Services' total wages will be equal to the hourly wage rate multiplied by the total hours spent on returns during the month.  The total hours spent on the returns for the month is obtained by adding up the hours spent on all the returns.  The total wages depend on the hours worked and the standard wage rate that has been established in the firm.

Exercise 10-1 Recording bond issuance and interest LO P1 On January 1, 2017, Boston Enterprises issues bonds that have a $3,400,000 par value, mature in 20 years, and pay 9% interest semiannually on June 30 and December 31. The bonds are sold at par. 1. How much interest will Boston pay (in cash) to the bondholders every six months

Answers

Answer:

Semi-annual interest payment=$153,000

Explanation:

The interest payment on the bond is an expense which would be incurred twice a year because the terms and conditions of the bond contract is that interest be paid semi-annually, that is every six month.

This implies that we would need to work out the interest rate applicable for every six month. This is doe as follows:

Semi-annual interest rate = Annual interest rate / 2

Annual interest rate = 9%

Semi-annual interest rate = 9%/2= 4.5%

Semi-annual interest payment = Interest rate ×  Nominal value of Bond

Semi-annual interest payment = 4.5% ×  $3,400,000=$153,000

Semi-annual interest payment= $153,000

g Sheffield Corp. purchased a truck at the beginning of 2017 for $109200. The truck is estimated to have a salvage value of $3800 and a useful life of 131750 miles. It was driven 23000 miles in 2017 and 31000 miles in 2018. What is the depreciation expense for 2018

Answers

Answer:

$24,800

Explanation:

Calculation for the depreciation expense for 2018 for Sheffield Corp.

Using this formula

Depreciation expense = (Purchased at the beginning-Salvage value/Useful life)* Driven miles

Let plug in the formula

Depreciation expense=($109,200-$3,800/131,750)*31,000

Depreciation expense=($105,400/131,750)*31,000

Depreciation expense=0.80*31,000

Depreciation expense=$24,800

Therefore the depreciation expense for 2018 will be $24,800

Which of the following policies often contains clauses that permit a social networking operator to collect and store data on users or even share it with third parties?
1) Terms of Trade policy
2) Terms of Use policy
3) Terms of Endearment policy
4) Terms of Retention policy

Answers

Answer: 2) Terms of Use policy

Explanation:

Terms of service are a contract or agreement between the user of a website or in this case a social networking operator and the social networking operator itself. This agreement is meant to govern the terms of the relationship between the 2 parties in terms of what will be expected of both, i.e, their rights and responsibilities.

On the side of the social networking operator, one of the rights usually listed is one stating that the operator can collect and store data on users or even share it with third parties and so it is important to read the terms of use policy as best you can when you can.

Interest rates can be measured more accurately and quickly than reserve aggregates; hence an interest rate is preferred to the reserve aggregates as a policy instrument.

a. True
b. False

Answers

Answer:

False

Explanation:

This is false.

In reporting reserves aggregate there are lags interest rate such as the federal interest rate are quite easy to measure and easily observable. Such short term interest rate are nominal values and they do not measure the real cost of borrowing well. It does not show accurately what happens to Gross domestic product. Real interest rate equals nominal interest rate as a ratio of reduced inflation gives a representation of true cost of borrowing.

We cannot say with certainty that interests rate is a better policy instrument based on the ground of measurability.

Eric left high school to work in a factory where he has been for the last 9 years. He married at 19 and has two children. He is unhappy and cynical. He doesn't like working hard to make purchase decisions so he waits until a product is easy to find before he buys.

A. EA

B. EM

C. I

D. L

E. LM

Answers

Answer: D. L

Explanation:

Eric is a Laggard. A Laggard is one of the 5 Adopter categories when it comes to new products in the market. These categories define people in terms of when they adopt a product as well as why.

Laggards are the last group to adopt a product. They do not like change and as such will only adopt a product when it is forced on them on when they have no choice because the product is so widespread that everyone is using it. Eric prefers to make a purchase only when it is easy to find. That is when the product has become quite widespread which is during the Laggard adoption stage.

The government wants to set the socially optimal level of nitrogen runoff, and government regulators believe that the actual marginal benefit of pollution (MBP) is given by the estimated MBP curve. The deadweight loss associated with a quota is _____, w

Answers

Answer:

Hello your question is incomplete attached below is the complete question

Explanation:

Dead weight loss = 0.5 [( Δp ) * ( ΔD ) ]

D = DEMAND

P = PRICE

DWL with quota = 0.5 [ ( $10 -$6 ) * (12 - 8 ) ]

                           = 0.5 ( 4*4 ) = $8

DWL with pigouvian tax  = 0.5 [ ($10- $6 )*(9 - 8 ) ]

                                         = 0.5 [ 4 * 1 ] = $2

Mogul Company ships merchandise to Ski Outfit in a consignment arrangement. The arrangement specifies that Ski Outfit will attempt to sell the merchandise, and in return, Mogul will pay to Ski Outfit a commission of 25% of the selling price on any merchandise sold. During the year, Mogul ships inventory with a cost of $81,000 to Ski Outfit and pays shipping costs of $8,700. By the end of the year, $61,000 of the merchandise has been sold to customers for a total of $86,000. Mogul allocates $6,500 of the shipping costs to inventory sold and the other $2,200 to inventory not sold. Mogul also paid advertising costs during the year of $10,500. What amount of inventory will Mogul report at year end

Answers

Answer:

$22,200

Explanation:

With regards to the above information Mogul company,

Cost of goods

= $81,000 + $8,700

= $89,700

= $61,000 + $6,500

= $67,500

Inventory = Cost of goods - Cost of goods sold

= $89,700 - $67,500

= $22,200

It therefore means that the amount of inventory Magu company will report at the year end is $22,200

Employers cite dressing inappropriately as one of the biggest mistakes job applicants make in interviews. True or False

Answers

Answer:

True

Explanation:

If you dress inappropriately, that is not showing a good first impression. Most, if not all jobs want to have employees that can dress well, cooperate, and work well with others.

Twilight Corporation acquired End-of-the-World Products on January 1, 2020 for $6,200,000, and recorded goodwill of $1,000,000 as a result of that purchase. At December 31, 2021, the End-of-the-World Products Division had a fair value of $5,440,000. The net identifiable assets of the Division (including goodwill) had a carrying value of $5,740,000 at that time. What amount of loss on impairment of goodwill should Twilight record in 2021

Answers

Answer:

Loss on impairment of goodwill that should be recorded is $300,000

Explanation:

Carrying value of net identifiable assets   $5,740,000

Less: Fair value                                            $5,440,000

Loss on impairment of goodwill                $300,000

Garfield Company has the following information for the current​ year: Beginning fixed manufacturing overhead in inventory $230,000 Fixed manufacturing overhead in production 850,000 Ending fixed manufacturing overhead in inventory 50,000 Beginning variable manufacturing overhead in inventory $40,000 Variable manufacturing overhead in production 140,000 Ending variable manufacturing overhead in inventory 30,000 What is the difference between operating incomes under absorption costing and variable​ costing?

Answers

Answer:

the difference between operating incomes under absorption costing and variable​ costing is $180,000 .

Explanation:

The difference between the two Operating Incomes lies in the amount of Fixed Overheads that has been deferred in Inventory.

So, calculation of the difference will be as follows :

Beginning fixed manufacturing overhead in inventory              $230,000

Less Ending fixed manufacturing overhead in inventory           ($50,000)

Difference  between  absorption costing and variable​ costing $180,000

Steelcase Inc. is one of the largest manufacturers of office furniture in the United States. In Grand Rapids, Michigan, it produces filing cabinets in two departments: Fabrication and Assembly. Assume the following information for the Assembly Department:Steel per filing cabinet ............................................. 55 poundsDirect labor per filing cabinet ...................................... 20 minutesSupervisor salaries ................................................ $180,000 per monthDepreciation ...................................................... $28,000 per monthDirect labor rate................................................... $21 per hourSteel cost ......................................................... $0.40 per poundRequired:Prepare a flexible budget for 12,000, 15,000, and 18,000 filing cabinets for the month of August 2014.

Answers

Answer:

Total Flexible Budgets  for 12,000, 15,000, and 18,000 units  is $ 556,000         $ 643,000 and  $830,000  

Explanation:

Steelcase Inc.

Assembly Department:

Steel per filing cabinet ............................................. 55 pounds

Direct labor per filing cabinet ...................................... 20 minutes

Supervisor salaries ................................................ $180,000 per month

Depreciation ...................................................... $28,000 per month

Direct labor rate................................................... $21 per hour

Steel cost ......................................................... $0.40 per pound

Steelcase Inc.

Flexible budget

For the month of August 2014.

Units:                                  12000            15000            18000

Steel for filing cabinet     660,000          825000         990,000 pounds

Steel cost                         $264,000         330,000        $ 396,000

Direct labor Hrs               4,000              5,000               6,000

Direct labor Cost             $84,000       $105,000             $ 126,000

Supervisor salaries      $180,000           $180,000         $180,000

Depreciation                 $28,000             $28,000           $28,000            

 Total                              $ 556,000         $ 643,000          $830,000  

First we find the Steel for filing cabinets in pounds . Then we multiply with the rate to find the steel cost.

Similarly we find the direct labor hours and then the direct labor cost.

We assume that the supervisor salaries and depreciation are fixed.

Manufacturing produces​ self-watering planters for use in upscale retail establishments. Sales projections for the first five months of the upcoming year show the estimated unit sales of the planters each month to be as​ follows:


Inventory at the start of the year was 975 planters. The desired inventory of planters at the end of each month should be equal to 25% of the following month's budgeted sales. Each planter requires four pounds of polypropylene (a type of plastic). The company wants to have 30% of the polypropylene required for next month's production on hand at the end of each month. The polypropylene costs $0.20 per pound.

Number of planters to be sold
January 3900
February 3200
March 3700
April 4400
May 4900

Required:
Prepare a production budget for each month in the first quarter of the year, including production in units for each month and for the quarter.

Answers

Answer:

              Production budget for the first quarter of 202x

Particulars               January     February     March         Total

Expected sales        3,900        3,200          3,700          10,800

Required ending      800           925             1,100           2,825

inventory

Less beginning        975            800             925            2,700

inventory

Required number    3,725          3,325          3,875         10,925

of units to be produced

The production budget for the first quarter includes the months of January, February and March. It doesn't include any materials, since they are included in the materials purchase budget.

The standard quantity allowed for the units produced was 4000 pounds, the standard price was $2.50 per pound, and the materials quantity variance was $350 favorable. Each unit uses 1 pound of materials. How many units were actually produced

Answers

Answer:

Unites actually produced = 4,000 units

Explanation:

Material quantity variance occurs when the actual quantity used to achieved a given level of output is more or less than the standard quantity.  

It is determined by the difference between the actual and standard quantity of material for the actual level of output multiplied by the the standard price  

Material quantity variance in unit =  Materials quantity variance  in value /standard price

Material quantity variance in unit = 350/2.50 =140  pounds

Actual quantity used (in pounds)  = standard quantity allowed - Material quantity variance

                              = 4000  - 140 = 3,860 pounds

Actual units produced = Standard quantity allowed/ standard quantity  per unit

                                      = 4,000/1 = 4000 units

Unites actually produced = 4,000 units

Portia Grant is an employee who is paid monthly. For the month of January of the current year, she earned a total of 8,588. The FICA tax for social security is 6.2% of the first $118,500 of employee earnings each calendar year and the FICA tax rate for Medicare is 1.45% of all earnings. The FUTA tax rate of 0.6% and the SUTA tax rate of 5.4% are applied to the first $7,000 of an employee's pay. The amount of federal income tax withheld from her earnings was $1,424.97. Her net pay for the month is: (Round your intermediate calculations to two decimal places.)
a) $7,038.50
b) $5,141.03
c) $6,072.04
d) $6,566.00
e) $6,506.04

Answers

Answer: e) $6,506.04

Explanation:

Employees do not pay FUTA or SUTA. Employers pay those.

Ms. Grant's net pay for the month therefore is;

= Gross earnings - FICA Social Security - FICA Medicare - Federal Income tax withheld

= 8,588 - (6.2% * 8,588) - ( 1.45% * 8,588) - 1,424.97

= 8,588 - ‭532.46 - ‭124.53 - 1,424.97

= $6,506.04‬

Which of the following approaches should the Fed use if it experiences large lags and mistakes in monetary policy?
a. Discretionary policy
b. An eclectic approach
c. Fixed rules
d. Fiscal policy

Answers

Answer:

C. Fixed rules.

Explanation:

This is simply a policy that is seen to be a monetary or in some cases fiscal; they are said to be automated in most of its cases and are based on the criteria that are predetermined.

In most cases, these policies are seen to be binding and also categorically constrain officials' policy choices based on certain predetermined criteria to direct them toward serving the public interest.

Many cases by policymakers made this policy to be put in place because most of them generally cannot bind their own future choices, also fixed policy rules usually have to be enforced by some kind of higher authority in order to be binding etc.

Assume that your parents wanted to have a 170,000 saved for college by your 18th birthday and they started saving on your first birthday. They saved the same amount each year on your birthday and earned 6.5% per year on their investmenets.Required:a. How much would they have to save each year to reach their goal?b. If they think you will take five years instead of four to graduate to graduate and decide to have $140,000 saved just in case, how much more would they have to save each year to reach their new goal?

Answers

Answer:

a. They will have to save $5,245.28 each year to reach their goal of $170,000.

b. They will have to save $925.63 less to reach their new goal of $140,000.

Note: The answer to part b is based on the information in the question. Therefore, the correct answer is "they will have to save $925.63 less" not  "save more" as suggested in the question. Kindly confirm this from your teacher.

Explanation:

a. How much would they have to save each year to reach their goal?

Since the saving started on your first birthday to have $170,000 saved, it implies the saving will be on your every birthday for 18 years. Therefore, the relevant formula to use to determine this is the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FV = M * {[(1 + r)^n - 1] / r} ................................. (1)

Where,

FV = Future value of the amount after your 18th birthday = $170,000

M = Yearly saving to have $170,000 = ?

r = interest rate = 6.5%, 0.065

n = number of years this savings will be made = 18

Substituting the values into equation (1) and solve for M, we have:

$170,000 = M * {[(1 + 0.065)^18 - 1] / 0.065}

$170,000 = M * 32.4100673759666

M = $170,000 / 32.4100673759666

M = $5,245.28

Therefore, they will have to save $5,245.28 each year to reach their goal of $170,000.

b. If they think you will take five years instead of four to graduate to graduate and decide to have $140,000 saved just in case, how much more would they have to save each year to reach their new goal?

First, we have to calculate how much they will save each year, by also using the Future Value (FV) for calculating an Ordinary Annuity as follows:

FVn = Mn * {[(1 + r)^n - 1] / r} ................................. (1)

Where,

FV1 = New future value of the amount after your 18th birthday = $140,000

M1 = New yearly saving to have $140,000 = ?

r = interest rate = 6.5%, 0.065

n = number of years this savings will be made = 18

Substituting the values into equation (1) and solve for M1, we have:

$140,000 = M1 * {[(1 + 0.065)^18 - 1] / 0.065}

$140,000 = M1 * 32.4100673759666

M1 = $140,000 / 32.4100673759666

M1 = $4,319.65

Therefore, they will have to save $4,319.65 each year to reach their goal of $140,000.

To obtain difference in yearly savings, we have:

Difference in yealy saving = M - M1 = $5,245.28 - $4,319.65 = $925.63

Since $5,245.28 each year to reach their goal of $170,000 is greater than $4,319.65 each year to reach their goal of $140,000, it therefore implies that they will have to save $925.63 less to reach their new goal of $140,000.

The treasurer of Riley Coal Co. is asked to compute the cost of fixed income securities for her corporation. Even before making the calculations, she assumes the aftertax cost of debt is at least 3 percent less than that for preferred stock.

Debt can be issued at a yield of 11.0 percent, and the corporate tax rate is 20 percent. Preferred stock will be priced at $60 and pay a dividend of $6.40. The flotation cost on the preferred stock is $6.

a. Compute the aftertax cost of debt. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)
b. Compute the aftertax cost of preferred stock. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)
c. Based on the facts given above, is the treasurer correct?

Answers

Answer:

a. Compute the after tax cost of debt.

after tax cost of debt = 11% x (1 - tax rate) = 11% x 0.8 = 8.8%

b. Compute the after tax cost of preferred stock.

after tax cost of preferred stock = cost of preferred stock (no taxes are deducted for paying preferred dividends since they are paid in capital)

cost of preferred stocks = $6.40 / ($60 - $6) = $6.40 / $54 = 11.85%

c. Based on the facts given above, is the treasurer correct?

the difference = 11.85% - 8.8% = 3.05%, so the treasurer was right

Midwest Fabricators Inc. is considering an investment in equipment that will replace direct labor. The equipment has a cost of $85,000 with a $7,000 residual value and a ten-year life. The equipment will replace one employee who has an average wage of $20,210 per year. In addition, the equipment will have operating and energy costs of $4,130 per year. Determine the average rate of return on the equipment, giving effect to straight-line depreciation on the investment. If required, round to the nearest whole percent. %

Answers

Answer:

17.89%

Explanation:

Calculation Determine the average rate of return on the equipment

Using this formula

Average rate of return =Avarage annual income /Average investment

Where,

Avarage annual income=Annual saving - Annual depreciation- Annual operating costs

Average investment= (Beginning costs + Residual value)÷2

Let plug in the formula

Average rate of return=$20,210 - ($85,000- $7,000)÷10 years-$4,130/($85,000+$7,000)÷2

Average rate of return=$20,210-($78,000÷10)-$4,180/($92,000)÷2

Average rate of return=$20,210-$7,800-$4,180/$46,000

Average rate of return=$8,230/$46,000

Average rate of return=0.1789*100

Average rate of return=17.89%

Therefore the average rate of return on the equipment will be 17.89%

Answer:

18%

Explanation:

This can be calculated as using the formula for calculating the average rate of return as follows:

Average rate of return = Average annual income / Average investment in equipment .................. (1)

To use equation (1), we first calculate the following:

Annual cost saving = $20,210

Annual depreciation = (Equipment cost - Residual value) / Useful number of years = ($85,000 - $7,000) / 10 = $7,800

Annual operating and energy costs = $4,130

Average annual income = Annual cost saving - Annual depreciation - Annual operating and energy costs = $20,210 - $7,800 - $4,130 = $8,280

Average investment in equipment = (Equipment cost + Residual value) / 2 = $46,000

Substituting the values for Average annual income and Average investment in equipment into equation (1), we have:

Average rate of return = $8,280 / $46,000 = 0.18, or 18%

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