where q is the quantity of bicycles produced. When calculating the marginal revenue and marginal profit in this problem, use the approach given for the marginal cost and marginal revenue in the discussions in your textbook. a) If the fixed cost in producing the bicycles is $2800, find the total cost to produce 30 bicycles. Answer: $ 4718.9869 equation editorEquation Editor b) If the bikes are sold for $200 each, what is the profit (or loss) on the first 30 bikes

Answers

Answer 1

Question Completion

A manufacturer of mountain bikes has the following marginal cost function:

C(q)=600/(0.7q+5)

Answer:

a. The total cost = $3,492.40

b. The profit on the first 30 bikes is:

= $2,507.60

Explanation:

a) Data and Calculations:

Fixed cost for producing the bicycles = $2,800

Number of bicycles produced = 30

Selling price per bike = $200

Marginal cost (C(q)) =600/(0.7q+5)

= 600/ (0.7*30 + 5)

= 600/ (21 + 5)

= 600/26

= $23.08

Total cost = Fixed cost + (C(q))

= $2,800 + $23.08 * 30

= $2,800 + $692.40

= $3,492.40

Profit:

Sales revenue $6,000 ($200 * 30)

Less Total cost  3,492.40

Profit =             $2,507.60


Related Questions

Analysis of Receivables Method At the end of the current year, Accounts Receivable has a balance of $770,000; Allowance for Doubtful Accounts has a credit balance of $7,000; and sales for the year total $3,470,000. Using the aging method, the balance of Allowance for Doubtful Accounts is estimated as $32,200. a. Determine the amount of the adjusting entry for uncollectible accounts. $fill in the blank 1 b. Determine the adjusted balances of Accounts Receivable, Allowance for Doubtful Accounts, and Bad Debt Expense. Accounts Receivable $fill in the blank 2 Allowance for Doubtful Accounts $fill in the blank 3 Bad Debt Expense $fill in the blank 4 c. Determine the net realizable value of accounts receivable.

Answers

Answer:

A. $25,200

B. Accounts Receivable $770,000

Allowance for Doubtful Accounts $32,200

Bad Debt Expense $25,200

C. $744,800

Explanation:

a. Calculation to Determine the amount of the adjusting entry for uncollectible accounts using this formula

Uncollectible accounts Adjusting entry= Allowance for Doubtful Accounts - Credit balance on Allowance for doubtful accounts

Let plug in the formula

Uncollectible accounts Adjusting entry=$32,200 - $7,000

Uncollectible accounts Adjusting entry= $25,200

Therefore the amount of the adjusting entry for uncollectible accounts is $25,200

B. Based on the information given the adjusted balances of Accounts Receivable will be $770,000

Based on the information given the adjusted balances of Allowance for Doubtful Accounts will be $32,200

Bad Debt Expense = $32,200 - $7,000

Bad Debt Expense= $25,200

c. Calculation to Determine the net realizable value of accounts receivable

Using this formula

Net realizable value of accounts receivable = Accounts receivables - Bad debt

Let plug in the formula

Net realizable value of accounts receivable= $770,000 - $25,200

Net realizable value of accounts receivable=$744,800

Therefore Net realizable value of accounts receivable is $744,800

define public administration​

Answers

Answer:

The answer is below

Explanation:

Public Administration is a term that is used to describe governmental activities including setting out plans and actual actions or responsibility, to manage the public or government agencies which in turn is to manage the public or government policies that cater for the state in the interest of the public at large.

Why do you think it’s important to appear confident during a business presentation? Explain your answer.

Subject

Answers

Answer:

because...

Explanation:

if you act confidence it gives your audience more sense of pleasure as they have the feeling you know what you are talking about and makes them better trust you. It makes it seem you know what you are doing and you will more likely get a better grade or results depending on the situation.

what is the role of the prosecutor in a civil case

Answers

A prosecutor is a legal representative of the prosecution in countries with either the civil case inquisitorial system, they represents the government in the case brought against the accused person

Answer:

same as the answer of her/him

Explanation:

shhsjaajakzmzmmKaakak

As a business professional, give two reasons why you will prefer written communication to oral
communication in two (2) sentences.

Answers

Answer:When the federal government spends more money than it receives in taxes in a ... spending over time in nominal dollars is misleading because it does not take ... defense spending as a share of GDP has generally declined since the 1960s, ... Healthcare expenditures include both payments for senior citizens (Medicare), ...

Explanation:

Determining Missing Items from Computations Data for the California, Midwest, Northwest, and Texas divisions of Firefly Industries are as follows: Sales Operating Income Invested Assets Return on Investment Profit Margin Investment Turnover California $ 6,000,000 (a) (b) 16% 20% (c) Midwest (d) $1,512,000 (e) (f ) 12% 1.4 Northwest 13,750,000 (g) $11,000,000 17.5% (h) (i) Texas 5,250,000 840,000 3,500,000 (j) (k) (l) a. Determine the missing items, identifying each by the letters (a) through (l). Round profit margin to one decimal place and investment turnover to two decimal places.

Answers

aAnswer:

Note: See the lower part of the attached excel for the table for the answer.

Explanation:

In the attached excel file, the following calculations are done:

(a) Operating income = Sales * Profit margin = $6,000,000 * 20% = $1,200,000

(b) Invested assets = Operating income / Return on investment = $1,200,000 / 16% = $7,500,000

(c) Investment turnover = Return on investment / Profit margin = 16% / 20% = 0.80 times

(d) Sales = Operating income / Profit margin = 1,512,000.00 / 12% = $12,600,000

(e) Investment assets = Sales / Investment turnover = $12,600,000 / 1.40 = $9,000,000.00

(f) Return on investment = Investment turnover * Profit margin = 1.40 * 12% = 16.80%

(g) Operating income = Invested assets * Return on investment = $11,000,000 / 17.50% = $1,925,000

(h) Profit margin = (Operating income / Sales) * 100 = ($1,925,000 / $13,750,000) * 100 = 14.0%

(i) Investment turnover = Return on investment / Profit margin = 17.50% / 14.0% = 1.25 times

(j) Return on investment = (Operating income / Invested assets) * 100 = ($840,000 / $3,500,000) * 100 = 24.0%

(k) Profit margin = (Operating income / Sales) * 100 = ($840,000 / $5,250,000) * 100 = 16.0%

(l) Investment turnover = Return on investment / Profit margin = 24.0% / 16.0% = 1.50

Do tax cuts stimulate or restrict spending? Why?

Answers

Answer:

Income tax cuts reduce the amount individuals and families pay on wages earned. When people can take home more of their paychecks, consumer spending increases.

Explanation:

Hope it helps you! Correct me if I am wrong!

I'm sure about my answer!

If you dont mind can you please mark me as brainlest?

Its ok if you don't want to!

But hopefully it helps you!

The purpose of cascading the balanced scorecard throughout the organization is: _____________

a. To help all employees think about, discuss, and implement the corporate strategy.
b. To ensure strict hierarchical control of the organization.
c. To customize the organizational mission and goals for every employee.
d. To create detailed performance measures for each employee

Answers

Answer:

b. To ensure strict hierarchical control of the organization.

The purpose of cascading the balanced scorecard is b. To ensure strict hierarchical control of the organization.

What is cascading?

Cascading is a term that describes the positions in an organization and how an organization is been set up from higher heirachy to lower heirachy.

Therefore, with cascading, hierarchical control of the organization can be checked and be monitored.

Learn more about cascading at;

https://brainly.com/question/25950911

Should individuals have to pay more in taxes than large corporations?

Answers

In 2017, human beings paid $1,587.12 billion in income tax. Corporations paid $297.048 billion. We bloodbags still paid a lot more than the moneymaking business entities, but it was only about five times more instead of the eight times more we are now paying.

Ticketsales, Inc., receives $5,520,000 cash in advance ticket sales for a four-date tour of Bon Jovi. Record the advance ticket sales on October 31. Record the revenue earned for the first concert date of November 5, assuming it represents one-fourth of the advance ticket sales. Ticketsales, Inc. initially records prepaid and unearned items in balance sheet accounts.

Required:
Record the cash receipt in advance of concerts.

Answers

Answer:

On October 31, Debit Cash for $5,520,000; and Credit Unearned ticket revenue for $5,520,000.

On November 5, Debit Unearned ticket revenue for $1,380,000; and Credit Ticket revenue for $1,380,000.

Explanation:

The journal entries will look as follows:

Date            Description                               Debit ($)         Credit ($)      

Oct 31          Cash                                       5,520,000

                    Unearned ticket revenue                              5,520,000

                    (To record ticket revenue received in advance.)                

Nov 5           Unearned ticket revenue     1,380,000

                     Ticket revenue (w.1)                                      1,380,000

                    (To record revenue ticket revenue earned.)                      

Workings:

w.1. Ticket revenue = Unearned ticket revenue * (1 / 4) = $5,520,000 * (1 / 4) = $1,380,000

Key Co. plans to present comparative financial statements for the years ended December 31, 20X1 and 20X2, respectively. Smith, CPA, audited Key's financial statements for both years and plans to report on the comparative financial statements on May 1, 20X3. Key's current management team was not present until January 1, 20X2. What period of time should be covered by Key's management representation letter

Answers

Answer: B.  January 1, 20X1, through May 1, 20X3

Explanation:

The management representation letter should cover all the periods that will be in the auditor's report not just the periods that the current management team was in effect in.

Even though the financial statements are for the years ended December 31, 20X1 and 20X2, the auditor has a responsibility to include the events that happened all the way up to the date the reports will be released on May 20X3.

This is why the management representation letter needs to include the entire period of January 1, 20X1, through May 1, 20X3 because those will be in the audit report.

Production Budget Pasadena Candle Inc. projected sales of 800,000 candles for the year. The estimated January 1 inventory i 35,000 units, and the desired December 31 inventory is 20,000 units.
Prepare a production budget report in units for Pasadena Candle Inc.

Answers

Answer and Explanation:

The preparation of the production budget is presented below;

Expected sales units 800,000 candles

Add: Desired closing inventory, Dec 31 20,000 units  

Total units available 820,000 units  

Subtract: Estimated opening inventory,Jan 1 -35,000  units

Total units to be produced 785,000  units

Hence, the above format should be prepared for the production budget

Calculate the opportunity cost of capital for a firm with the following capital structure: 30% preferred stock, 50% common stock and 20% debt.The firms has a cost of debt of 7.87%, a cost of preferred stock equal to 10.76% and a 13.91% cost of common stock. The firm has a 35% tax rate. You answer should be entered as a %, for example 15.48%

Answers

Answer:

11.21%

Explanation:

the opportunity cost of capital can be determined by calculating the weighted average cost of capital

WACC = [weight of equity x cost of equity[ + [weight of debt x cost of debt x (1 - tax rate)] + [weight of preferred stock x cost of preferred stock]

0.3 x 10.76 + (0.5 x 13.91) + (0.2 x 0.65 x 7,87)

3.228 + 6.955 + 1.231

11.21%

Evan phoned his representative when he received his most recent statement on his deferred annuity. Evan is 65 and purchased the fixed annuity seven years ago to be a conservative part of his portfolio. Evan has read and heard a lot about how the market is beginning to take off and that variable annuities have considerable growth potential. He wants to get out of the fixed annuity and purchase a variable annuity to earn a higher return. The representative should:

Answers

Answer: Review Evan's investor profile factors and other facts to determine a suitable course of action to address his concerns and needs

Explanation:

The options include:

A. Recommend that Evan consider an exchange into a variable life insurance policy because it has growth potential with a death benefit.

B. Recommend that Evan surrender the annuity and invest in bond mutual funds because they work similar and cost less.

C. Review Evan’s investor profile factors and other facts to determine a suitable course of action to address his concerns and needs.

D. Update his investor profile factors and risk tolerance, and discuss with Evan the long term focus of a variable annuity and how it will outperform the fixed annuity within the first couple of years.

Based on the information given in the question, the best thing that the representative should do will be to review Evan's investor profile factors and other facts to determine a suitable course of action to address his concerns and needs.

When Evan's investor profile factors is checked, then the representative can then inform Evans about the appropriate thing to do and if it's appropriate for him to purchase a variable annuity to earn a higher return.

Going ahead by getting out of the fixed annuity and purchasing a variable annuity without reviewing Evan's investor's profile isn't appropriate.

The grouping of living things according to similar characteristics is ​

Answers

Answer:

see the explanation

Explanation:

A species can be defined as a group of organisms with similar features, and these organisms are capable of breeding and produce fertile offspring. You are probably aware of the fact that horses and donkeys belong to the same kingdom, phylum, class, order, family as well as genus but they are from different species.

How important is a business plan?​

Answers

Answer:

Hey mate.....

Explanation:

This is ur answer.....

Whether you're starting a small business or exploring ways to expand an existing one, a business plan is an important tool to help guide your decisions. Think of it as a roadmap to success, providing greater clarity on all aspects of your business, from marketing and finance to operations and product/service details.

Hope it helps!

Brainliest pls!

Follow me! ;)

Answer: Hewo, There! your Answer is Below

A business plan is a very important and strategic tool for entrepreneurs.

the purpose of a business plan is to help articulate a strategy for starting your business.

Explanation:

Hope this Helps you!!

Have a great day!!

A good business plan not only helps entrepreneurs focus on the specific steps necessary for them to make business ideas succeed

The following financial information is available on Rawls Manufacturing Company: Current per share market price $48.00 Current per share dividend $3.50 Current per share earnings $6.00 Beta 1.1 Expected rate of return on market 12.0% Risk-free rate 6.0% Expected long-term growth rate 5.0% Rawls can issue new common stock to net the company $44 per share. Determine the cost of external equity capital using the dividend capitalization model approach. (Compute answer to the nearest 0.1%.)

Answers

Answer:

13.4%

Explanation:

Calculation to determine the cost of external equity capital using the dividend capitalization model approach

Using this formula

Cost of external equity capital = (D1/Pnet) + g

Let plug in the formula

Cost of external equity capital =[$3.50(1.05)/$44] + 0.05

Cost of external equity capital= 0.1335 *100

Cost of external equity capital= 13.4%

Therefore the cost of external equity capital using the dividend capitalization model approach is 13.4%

prepaid rent expired​

Answers

What ??????????? Huh?

The overall cost of your credit (loan) depends on

Answers

The true cost and amount of interest

Classify each of the following costs as a product cost or period cost. If it is a product cost, classify it as direct (or indirect) materials, direct (or indirect) labor, or overhead.

a. Wheat used to make flour at General Mills.
b. Sales commissions paid to sales personnel at Gap retail stores.
c. Costs incurred by General Motors to ship automobile seats purchased from the Lear Corporation to GM assembly plants.
d. Insurance paid on the Target retail stores in Michigan.

Answers

Answer:

Product costs refer to the costs incurred to produce a good while period costs are more like general expenses incurred during a period.

a. Wheat used to make flour at General Mills. ⇒ PRODUCT COST. DIRECT MATERIAL.

Wheat is a main ingredient in producing flour so it is a product cost. It is also a direct material cost because it is directly involved in the making of flour which is the main product of General Mills.

b. Sales commissions paid to sales personnel at Gap retail stores. ⇒ PERIOD COST.

Sales commissions have nothing to do with the production of the goods so is a period cost that relates to general expenses incurred in a period.

c. Costs incurred by General Motors to ship automobile seats purchased from the Lear Corporation to GM assembly plants. ⇒ PRODUCT COST. DIRECT MATERIAL COST.

The automobile seats are necessary for the production of cars which makes them a product cost. Cars are the main product of GM and chairs are necessary for that so this is a direct material.

d. Insurance paid on the Target retail stores in Michigan. ⇒ PERIOD COST.

General period expense.

The following appeared in the October 15, 2021, issue of the Financial Smarts Journal:
This announcement is not an offer of securities for sale or an offer to buy securities.
New Issue October 15, 2021
$750,000,000
CRAFT FOODS, INC.
7.75% Debentures Due October 1, 2031
Price 99.57% plus accrued interest if any from date of issuance Copies of the prospectus and the related prospectus supplement may be obtained from such of the undersigned as may legally offer these securities under applicable securities laws.
Keegan Morgan & Co. Inc.
Coldwell Bros. & Co.
Robert Stacks & Co.
Sherwin-William & Co.
Required:
1. Based on the information provided in the announcement, indicate whether the market rate of interest is higher or lower than 7.75% when the Craft Foods bonds were issued.
2. If debt issue costs were $75,000 and the bonds were issued on an interest payment date, what entry did Craft use to record the sale?

Answers

Answer:

1. The market rate of interest is higher than 7.75% when the Craft Foods bonds were issued.

2. Debit Cash for $746,700,000; Dbit Discount on bond payable for $3,225,000; Debit Bond issue cost for $75,000; and Credit Bond payable for $750,000,000.

Explanation:

1. Based on the information provided in the announcement, indicate whether the market rate of interest is higher or lower than 7.75% when the Craft Foods bonds were issued.

From the information provided, it can be observed that the face value of this bond is 100% but it is issued at 99.57% price. Since the issue price of 99.57% is less than the face value, this implies that the bond is issued at a discount.

When a bond is issued at a discount, it indicates the stated interest rate is lower than the market interest rate.

Therefore, the market rate of interest is higher than 7.75% when the Craft Foods bonds were issued.

2. If debt issue costs were $75,000 and the bonds were issued on an interest payment date, what entry did Craft use to record the sale?

Before the journal entry is prepared, the following are first calculated:

Proceeds from bond issue = Bond price * Total face value = $750,000,000 * 99.57% = $746,775,000

Discount on bond = Total face value - Proceeds from bond issue = 750,000,000 - $746,775,000 = $3,225,000

Cash = Proceeds from bond issue - Debt issue costs = $746,775,000 - $75,000 = $746,700,000

The journal entry will now look as follows:

Description                                 Debit ($)                Credit ($)      

Cash                                        746,700,000

Discount on bond payable        3,225,000

Bond issue cost                               75,000

  Bond payable                                                      750,000,000

(To record bond issue at a discount.)                                              

PLEASE ANSWER THESE QUESTIONS!
4) Answer the following questions about the Economy based on the Circular Flow. Your answers should be general (like taxes, land resources, etc.). Be very careful and be sure that you study the diagram in your lesson (3.01) and watch the Circular Flow video before answering:
a) What does the Government provide to Individuals and Households?
b) What do Individuals and Households provide to the Government?
c) What do Businesses provide to the Government?
d) What does the Government provide to Businesses?
e) What do Businesses provide to Individuals and Households OTHER than products and services?
f) What do Individuals and Households provide to Businesses OTHER than the money they use to purchase their products?
g) Name 3 types of resources that are provided by Individuals and Households to Businesses in the FACTOR market
h) Who do Businesses provide products and services for in the Product Market?

Answers

Answer:

A.) Homes, shelter

B.)Taxes

C.) Recources and financiality.

E.) Money, for working.

F.)  Members of households provide labor to businesses through the resource market. In turn, businesses convert those resources into goods and services.

G.) labor, raw materials, capital, and land

H.) The market in a nation's circular flow of income in which households demand goods and services, which firms provide. Households make purchases, providing revenue for firms, which they in turn use to acquire resources from households in the resource market.

The cost of materials transferred into the Rolling Department of Keystone Steel Company is $510,000 from the Casting Department. The conversion cost for the period in the Rolling Department is $81,200 ($54,700 factory overhead applied and $26,500 direct labor). The total cost transferred to Finished Goods for the period was $553,200. The Rolling Department had a beginning inventory of $25,000.

Required:
a. Journalize the cost of transferred-in materials.
b. Journalize the conversion costs.
c. Journalize the costs transferred out to Finished Goods.
d. Journalize the costs transferred out to Finished Goods.
e. Determine the balance of Work in Process—Rolling at the end of the period.

Answers

Answer:

Part a

Debit  : Work in Process - Rolling Department $510,000

Credit : Work in Process - Casting Department $510,000

Part b

Debit  : Work in Process - Overheads $54,700

Debit  : Work in Process - Direct labor $26,500

Credit : Accounts Payable $81,200

Part c

Debit  : Finished Goods Inventory $553,200

Credit : Work in Process - Rolling Department $553,200

Part d

Debit  : Finished Goods Inventory $553,200

Credit : Work in Process - Rolling Department $553,200

Part e

$18200 credit

Explanation:

Ending Balance = Opening Balance + Additions - Transfers out

therefore,

Rolling Department balance = $25,000 + $510,000 - $553,200

                                               = ($18200)

Also see journal prepared above.

Data related to the inventories of Costco Medical Supply are presented below:

Surgical
Equipment Surgical
Supplies Rehab
Equipment Rehab
Supplies
Selling price $272 $135 $342 $153
Cost 151 103 256 153
Costs to sell 18 10 18 7
In applying the lower of cost and net realizable value rule, the inventory of rehab supplies would be valued at:_________

Answers

Answer:

146

Explanation:

The computation is shown below

Particulars       Surgical         Surgical     Rehab                Rehab    

                        Equipment    Supplies    Equipment        Supplies

Cost (A)              151                    103            256                    153

Selling price       272                  135            342                    153

Less:

cost to sell            18                   10                 18                    7

Net realizable

value (B)                254             125                   324             146

Lower of A & B     151                 103                256                146

The following is a list of items for Witts Company's 2016 statement of cash flows:

a. receipt from sale of equipment, $2,700
b. increase in inventory, $3,900
c. net income, $13,500
d. payment for purchase of building, $29,000
e. depreciation expense, $8,700
f. receipt from issuance of bonds, $8,000
g. increase in prepaid expenses, $800
h. loss on sale of equipment, $2,200
i. payment of dividends, $5,200
j. decrease in accounts receivable, $1,700
l. issuance of common stock for land, $6,900
m. decrease in accounts payable, $1,500
n. beginning cash balance, $10,200

Required:
Prepare the statement of cash flows.

Answers

Answer and Explanation:

The preparation of the statement of cash flows is presented below:

Cash flows from operating activities

Net income $13,500

Add: depreciation expense $8,700

Add: loss on sale of equipment $2,200

Less: increase in inventory  $3,900

Less: increase in prepaid expense -$800

Add: decrease in account receivable $1,700

Net cash provided by operating activities  $19,900

Cash flows from investing activities

receipt from sale of equipment, $2,700

Less: payment for purchase of building, $29,000

Net cash used by investing activities -$26,300

Cash flows from financing activities

receipt from issuance of bonds, $8,000

Less: payment of dividends, $5,200

Net cash provided by financing activities $2,800

Net decrease in cash -$3,600

Add: opening cash balance $10,200

Ending cash balance $6,600

can you please help me on how to write a formal Email ​

Answers

Answer:

It's just like writing a letter!

Explanation:

You don't add the date, here's a format to go by:

Dear {Recipient},

{Body paragraph}

Thanks/Best Regards/Sincerely,

{Your name}

EXMAPLE:

To: (email)

Subject: Ice Cream

Email: Father and Mother, I was wondering if you would consider buying me ice cream. I understand I haven't been a good 5 - year - old, but may you consider the benefits of buying me ice cream?

Thank you,

                      5 - year - old

For 2018, Tree Top Farms had sales of $438,000, cost of goods sold of $286,000, ending inventory of $154,000, ending accounts receivable of $46,000, and ending accounts payable of $38,000. For 2019, sales were $413,000, cost of goods sold was $281,000, ending inventory was $149,000, ending accounts receivables were $48,000, and ending accounts payable were $36,000. What was the cash cycle for 2019 based on a 365-day year

Answers

Answer:

190.27 days

Explanation:

Average accounts receivable = (Ending accounts receivable 2018 + Ending accounts receivable 2019) / 2

Average accounts receivable = ($46,000 + $48,000)/2

Average accounts receivable = $47,000

Average accounts payable = (Ending accounts payable 2018 + Ending accounts payable 2019) / 2

Average accounts payable = ($38,000 + $36,000)/2

Average accounts payable = $37,000

Average inventory = (Ending inventory 2018 + Ending inventory 2019) / 2

Average inventory = ($154,000 + $149,000)/2

Average inventory = $151,500

Days sales outstanding = (Average accounts receivable*365 days)/Sales

Days sales outstanding = ($47,000*365 days)/$413,000

Days sales outstanding = $17,155,000/$413,000

Days sales outstanding = 41.54 days

Days payable outstanding = (Average accounts payable*365 days)/Cost of goods sold

Days payable outstanding = ($37,000*365 days)/$281,000

Days payable outstanding = $13,505,000/$281,000

Days payable outstanding = 48.06 days

Days inventory outstanding = (Average inventory*365 days)/Cost of goods sold

Days inventory outstanding = ($151,500*365 days)/$281,000

Days inventory outstanding = $55,297,500/$281,000

Days inventory outstanding = 196.79 days

Cash cycle = Days sales outstanding + Days inventory outstanding - Days payable outstanding

Cash cycle = 41.54 days + 196.79 days - 48.06 days

Cash cycle = 190.27 days

Hence, the cash cycle for 2019 based on a 365-day year is 190.27 days

A company is considering opening a new product line. The building being considered will have a monthly lease and utility payment of $3500. Two employees will be hired at $ 15/hr/employee. Each employee will work 120 hrs per month. The average revenue per unit product sold is estimated at $ 100. The variable cost of production of each unit is estimated at $40.

Required:
a. How many units must be produced each month for the buisness to breakeven?
b. How many units must be produced monthly to achieve a monthly profit of $10,000?

Answers

Answer:

Results are below.

Explanation:

First, we need to calculate the total fixed costs:

Total fixed costs= 3,500 + (120*2*15)

Total fixed costs= $7100

Now, using the following formula, we can determine the break-even point in units:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 7,100 / (100 - 40)

Break-even point in units= 118.33 = 119 units

Finally, the number of units to earn $10,000 in profit:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= (7,100 + 10,000) / 60

Break-even point in units= 285

VANILLA SWAPS Cleveland Insurance Company has just negotiated a three-year plain vanilla swap in which it will exchange fixed payments of 8 percent for floating payments of LIBOR plus 1 percent. The notional principal is $50 million. LIBOR is expected to be 7 percent, 9 percent, and 10 percent (respectively) at the end of each of the next three years. Determine the net dollar amount to be received (or paid) by Cleveland each year. Determine the dollar amount to be received (or paid) by the counterparty on this interest rate swap each year based on the assumed forecasts of LIBOR.

Answers

Answer: Check attachment

Explanation:

a. Determine the net dollar amount to be received (or paid) by Cleveland each year.

The the net dollar amount to be received by Cleveland for:

Year 1: = $0

Year 2 = $1,000,000

Year 3: = $1,500,000

b. Determine the dollar amount to be received (or paid) by the counterparty on this interest rate swap each year based on the assumed forecasts of LIBOR.

Check the attachment for further details.

Ohio Swiss Milk Products manufactures and distributes ice cream in Ohio, Kentucky, and West Virginia. The company wants to expand operations by locating another plant in northern Ohio. The size of the new plant will be a function of the expected demand for ice cream within the area served by the plant. A mar-ket survey is currently under way to determine that demand. Ohio Swiss wants to estimate the relationship between the manufacturing cost per gallon and the number of gallons sold in a year to determine the demand for ice cream and, thus, the size of the new plant. The following data have been collected.

Plant Cost per Thousand Gallons (Y) Thousands of Gallons Sold (X)
1 $1,015 416.9
2 973 472.5
3 1,046 250
4 1,006 372.1
5 1,058 238.1
6 1,068 258,6
7 967 597
8 997 414
9 1,044 263.2
10 1,008 372
Total $10,182 3,654.40

Required:
a. Develop a regression equation to forecast the cost per gallon as a function of the number of gallons produced.
b. What are the correlation coefficient and the coefficient of determination? Comment on your regression equation in light of these measures.
c. Suppose that the market survey indicates a demand of 325,000 gallons in the Bucyrus Ohio, area. Estimate the manufacturing cost per gallon for a plant producing 325,000 gallons peryear.

Answers

Answer:

a. The regression equation required is Y = 915.18 – 0.2819X.

b. b-1. Correlation coefficient (r) = –0.9423

b-2. Coefficient of determination = r^2 = 88.80%

b-3. The negative correlation coefficient of -0.9423 implies that increase in X mostly causes a decrease in Y. The coefficient of determination implies that 88.80% variation in Y is explained by X.

c. The manufacturing cost per gallon is $823.56.

Explanation:

Note: See the attached excel file for the calculation of Mean of X and Y and other values.

a. Develop a regression equation to forecast the cost per gallon as a function of the number of gallons produced.

The regression can be written as follows:

Y = bo + b1X ………………… (1)

b1 = (Sum of (Y - Mean of Y) * (X - Mean of X)) / (Sum of (X - Mean of X)^2) = –34,273.08 / 121,585.14 = –0.2819

b0 = Mean of Y – (b1 * Mean of X) = 1,018.20 - (365.44 * 0.2819) = 915.18

Substituting b) and b1 values into equation (1), regression equation to forecast the cost per gallon as a function of the number of gallons produced can be written as follows:

Y = 915.18 – 0.2819X ……………………….. (2)

Equation (2) is the regression equation required.

b. What are the correlation coefficient and the coefficient of determination? Comment on your regression equation in light of these measures.

b-1. Correlation coefficient (r) can be calculated using the following formula:

r = (Sum of (Y - Mean of Y) * (X - Mean of X)) / ((Sum of (Y - Mean of Y)^2) * (Sum of (X - Mean of X)^2))^0.5 = –34,273.08 / (10,879.60 * 121,585.14)^0.5 = –0.9423

b-2. Coefficient of determination = r^2 = –0.94^2 = 0.8880, or 88.80%

b-3. The negative correlation coefficient of -0.9423 implies that increase in X mostly causes a decrease in Y. The coefficient of determination implies that 88.80% variation in Y is explained by X.

c. Suppose that the market survey indicates a demand of 325,000 gallons in the Bucyrus Ohio, area. Estimate the manufacturing cost per gallon for a plant producing 325,000 gallons per year.

Since X and Y are in thousands, 325,000 gallons implies we have:

X = 325

Substitute X = 325 into equation (2), we have:

Y = 915.18 - (0.2819 * 325)

Expressing in full form, we have:

Y = $823

Therefore, the manufacturing cost per gallon is $823.56.

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