Sales mix, three products. The Ronowski Company has three product lines of belts—A, B, and C— with contribution margins of $3, $2, and $1, respectively. The president foresees sales of 200,000 units in the coming period, consisting of 20,000 units of A, 100,000 units of B, and 80,000 units of C. The company’s fixed costs for the period are $255,000.

What is the company’s breakeven point in units, assuming that the given sales mix is maintained?
If the sales mix is maintained, what is the total contribution margin when 200,000 units are sold? What is the operating income?
What would operating income be if 20,000 units of A, 80,000 units of B, and 100,000 units of C were sold? What is the new breakeven point in units if these relationships persist in the next period?

Answers

Answer 1

Answer:

1. 13,236 units

2. $85,000

3. $65,000

4. 15,938 units

Explanation:

First Determine the ratio of the sales mix as follows :

Ratio = 20,000 : 100,000 : 80,000

Reduced to lowest term  = 1 : 5 : 4

Then find the Company`s break-even point using the sales mix as follows ;

Break-even point (units) = Fixed Costs ÷ Contribution Margin as per sales mix

                                        = $255,000 ÷ ($3 × 1 + $2 × 5 + $1 × 4)

                                        = $255,000 ÷ $17

                                        = 13,235.29 or 13,236 units

Calculation of Operating Income assuming 200,000 units are sold

Contribution :

A : (1/10 × 200,000 units) × $3     =   $60,000

B : (5/10 × 200,000 units) × $2    = $200,000

C : (4/10 × 200,000 units) × $1     =   $80,000

Total Contribution                           $340,000          

Less Fixed Cost                             ($255,000)

Operating Income                             $85,000

Calculation of Operating Income if 20,000 units of A, 80,000 units of B, and 100,000 units of C were sold.

Contribution :

A : 20,000 units × $3      =  $60,000

B : 80,000 units × $2      = $160,000

C : 100,000 units × $1     = $100,000

Total Contribution             $320,000          

Less Fixed Cost                ($255,000)

Operating Income               $65,000

Determination of New Sales Mix :

Ratio = 20,000 : 80,000 : 100,000

Reduced to Lowest Term = 1 : 4 : 5

Break-even point (units) = Fixed Costs ÷ Contribution Margin as per sales mix

                                        = $255,000 ÷ ($3 × 1 + $2 × 4 + $1 × 5)

                                        = $255,000 ÷ $16

                                        = 15,937.5 or 15,938 units


Related Questions

Abica Roast Coffee Company produces Columbian coffee in batches of 6,000 pounds. The

standard quantity of materials required in the process is 6,000 pounds, which cost $5.00per pound. Columbian coffee can be sold without further processing for $8.40 per pound.

Columbian coffee can also be processed further to yield Decaf Columbian, which can

be sold for $10.00 per pound. The processing into Decaf Columbian requires additional

processing costs of $9,450 per batch. The additional processing will also cause a 5% loss

of product due to evaporation.



Columbian coffee can be sold without further processing for $8.40 per pound.

Columbian coffee can also be processed further to yield Decaf Columbian, which can

be sold for $10.00 per pound. The processing into Decaf Columbian requires additional

processing costs of $9,450 per batch. The additional processing will also cause a 5% loss

of product due to evaporation.

a. Prepare a differential analysis dated August 28, 2012, on whether to sell regular

Columbian (Alternative 1) or process further into Decaf Columbian (Alternative 2).

b. Should Abica Roast sell Columbian coffee or process further and sell Decaf

Columbian?

c. Determine the price of Decaf Columbian that would cause neither an advantage or

disadvantage for processing further and selling Decaf Columbian.

Answers

Answer:

A)

                                       no further          further                 differential

                                       processing        processing          amount

price per pound             $8.40                 $10.00                $1.60

materials                         $5                      $5.25                 ($0.25)

processing costs            $0                      = $9,450 /          ($1.66)

                                                                  5,700 = $1.66

operating profit per        $3.40                 $3.09                 ($0.31)

pound

                                     

B)

The company should sell coffee without any further processing, just sell it as normal Colombian coffee.

C)

In order to eliminate the financial disadvantage of processing further the decaf coffee, the the price should be $10 + $0.31 = $10.31 per pound.

Ashley wants to increase the profits of her e-business. She recognizes that most online searchers click on links on the first search page, so she optimizes her website structure so that it ranks higher on a search. What strategy does this illustrate

Answers

Answer:

The strategy is Search Engine Optimization (SEO), an important strategy in digital marketing.

Explanation:

Search Engine Optimization (SEO) means optimizing the website structure, improve on keywords strategy and visual effects to increase the website's visibility, its ranking on search engine like google, bing, yahoo search .etc... and subsequently, push up the traffic volume to the website.

three different areas of life of VLOOKUP

Answers

Answer and Explanation:

The three different areas fo VLOOKup is as follows

1. The Primary key which is used for matching up your data for example, employee id, employee address etc

2. The list of lookup that represents the database i.e employees list who are working in an organization

3. the data which is required to match it or shifting the data

Answer:

I have identified the practical uses of VLOOKUP functions in the following three areas:

Education: A teacher with a list of student scores can use VLOOKUP to translate them to grades.

Sales: Sales managers can use VLOOKUP to determine the commissions their salespeople have earned.

Shopping: You can browse online catalogs for product listings and find their corresponding prices using VLOOKUP.

Explanation:

Specialty Auto Parts Company uses the indirect method to prepare its statement of cash flows. Refer to the following information for​ 2018: Net cash provided by operating​ activities: $108,000 Net cash used for investing​ activities: ($118,500) Net cash provided by financing​ activities: $16,000 If the cash balance at the beginning of the year was​ $13,200, what is the ending cash​ balance? A. ​$18,700 B. ​$13,200 C. ​$10,500 D. ​$5,500

Answers

Answer: $18,700

Explanation

Net cash provided by the operating activities = $108,000

Add: Net cash provided by the financing activities = $16,000

Less : The net cash used for the investing activities = $118,500

The net increase in Cash will now.be:

= ($108,00 + $16,000) - $118,500

= $5,500

Add: Cash at the beginning of the year. This will be:

= $5500 + $13,200

= $18,700

Ending cash balance will be $18700

I have question with it can you help me please??​

Answers

Answer:

Pick-up Later:

Set a pickup date

Process the transaction

Place all the items in the pickup area near the front of the store

Place a note on the items indicating they are sold.

Explanation:

The purpose of the above procedure is to enable the customer to take delivery of purchased goods hitch-free.  The pick-up area needs to be covered against rain so that the mulch and topsoil do not degrade.  It is assumed that the customer's contact information and payment have been secured before the arrangement for pick-up later.

If Colombia spends 2 hours producing coffee and 6 hours producing oranges, and Cuba spends 3 hours producing coffee and 1 hour producing oranges, which of the following are true?
Select the correct answer below:_________.
A. Colombia has an absolute advantage producing oranges, and Cuba has an absolute advantage producing coffee.
B. Colombia does not have an absolute advantage producing any goods, but Cuba has an absolute advantage producing oranges.
C. Colombia has an absolute advantage producing coffee, and Cuba has an absolute advantage producing oranges.
D. Colombia has an absolute advantage producing coffee, but Cuba does not have an absolute advantage producing any good.

Answers

Answer: C. Colombia has an absolute advantage producing coffee, and Cuba has an absolute advantage producing oranges

Explanation:

From the question, we are informed that Colombia spends 2 hours producing coffee and 6 hours producing oranges, and Cuba spends 3 hours producing coffee and 1 hour producing oranges.

Since Columbia spends a lesser time producing coffee and Cuba spends a lesser time producing oranges, it means that Colombia has an absolute advantage producing coffee, and Cuba has an absolute advantage producing oranges.

Ford Motor Company is discussing new ways to recapitalize the firm and raise additional capital. Its current capital structure has a ​% weight in​ equity, ​% in preferred​ stock, and ​% in debt. The cost of equity capital is ​%, the cost of preferred stock is ​%, and the pretax cost of debt is ​%. What is the weighted average cost of capital for Ford if its marginal tax rate is ​%?

Answers

Complete Question:

Ford Motor Company is discussing new ways to recapitalize the firm and raise additional capital. Its current capital structure has a 10% weight in equity, 25% in preferred stock, and 65% in debt. The cost of equity capital is 17%, the cost of preferred stock is 11%, and the pretax cost of debt is 9%. What is the weighted average cost of capital for Ford if its marginal tax rate is 40%?

Answer:

7.96%

Explanation:

We can calculate WACC using the formula:

WACC = Cost of equity * Equity %age / 100%         +          

After Tax Cost of Debt * Debt %age / 100%            +        

Cost of Preferred Stock * Preferred Stock %age / 100%

Here,

Cost of equity is 17%

Cost of preferred stock is 11%

Post tax cost of debt = Pre-Tax cost *  (1 - Tax rate)

This implies,

Post tax cost of debt = 9% * (1 - 40%) =  5.4%

Equity weight is 10% weight in equity

Preferred stock weight is 25%

Debt Weight is 65%

By putting value in the formula given in the attachment, we have:

WACC = 17% * (10% / 100%)      +     11% * (25% / 100%)    +    5.4% * (65% / 100%)

WACC = 1.7%   +   2.75%   +    3.51%

WACC = 7.96%

The agreement of the trial balance totals is an indication that all transactions have been properly recorded in the books of accounts. Do you agree with this statement?

Answers

Answer:

No

Explanation:

The trial balance shows the totals of all transactions that have been recorded. It has no way of knowing if there are additional transactions that have not been recorded.

What type of policy lowers interest rates to allow individuals access to more money for large purchases

Answers

Complete Question:

What type of policy lowers interest rates to allow individuals access to more money for large purchases?

Group of answer choices

A. Fiscal.

B. Stimulus.

C. Discount.

D. Monetary.

Answer:

D. Monetary.

Explanation:

Monetary policy can be defined as the actions (macroeconomic policies) adopted and undertaken by the central bank of a particular country to control the money supply and interest rates so as to boost or enhance economic growth. The central bank uses monetary policies to manage inflation, economic growth through long-term interest rates and level of unemployment in a country. In order to boost economic growth, monetary policy is used to increase money supply (liquidity) while it is also used to prevent inflation by reducing money supply.

Generally, money supply comprises of checks, cash, money market mutual funds (MMF) and credit (mortgage, bonds and loans).

Additionally, monetary policy lowers interest rates to allow individuals access to more money for large purchases.

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

Which one of these people does not attend the closing?

a. Your real estate agent
b. Closing agent
c. Seller
d. Appraiser

Answers

Answer:

d. Appraiser

Explanation:

During a closing appointment, there are many individuals usually present, including the buyer, seller, closing agent, and the attorney. Sometimes the company representative, mortgage lender, and other real estate agents may attend in unique situations. From the list provided the one individual that never attends a closing appointment is the Appraiser. This individual's only job is to estimate the market value of the house before listing it, and once this is done has no involvement in the selling process.

El Tapitio purchased restaurant furniture on September 1, 2018, for $30,000. Residual value at the end of an estimated 10-year service life is expected to be $4,500. Calculate depreciation expense for 2018 and 2019, using the straight-line method, and assuming a December 31 year-end.

Answers

Answer:

Results are below.

Explanation:

Giving the following information:

Purchase price= $30,000 (September)

Salvage value= $4,500

Useful life= 10

First, we need to determine the annual depreciation using the following formula:

Annual depreciation= (original cost - salvage value)/estimated life (years)

Annual depreciation= (30,000 - 4,500)/10

Annual depreciation= $2,550

2018:

Annual depreciation= (2,550/12)*4= $850

2019:

Annual depreciation= $2,550

Let's say that you choose to buy bread in a grocery store. According to the marginal benefit and marginal cost principle, how many loaves of bread will you purchase if you know the following:

A loaf of bread costs $2.00. Each dollar is worth 100 utils to you (so $2 is worth 200 utils). The first loaf of bread gives you 400 utils of satisfaction. The second loaf of bread gives you 320 utils of satisfaction. The third loaf of bread gives you 280 utils of satisfaction. The fourth loaf of bread gives you 220 utils of satisfaction. The fifth loaf of bread gives you 160 utils of satisfaction. The sixth loaf of bread gives you 30 utils of satisfaction. The seventh loaf of bread gives you no more additional utils.

1. Four loaves.
2. One loaf.
3. Three loaves.
4. Two loaves.
5. Six loaves.
6. Five loaves.
7. Seven loaves.

Answers

Six is your answer because if it cost $2.00 and you have 4 it makes sense

It will be advisable to purchase six loaves of bread to derive the optimum amount of marginal utility upon consumption. Hence, option 6 is correct.

What is marginal utility?

The utility derived upon consumption of each additional unit of a product, given that other things remain constant, is known as the marginal utility derived.

It has been provided that the utility derived upon the consumption of seventh loaf will not derive further utility. And thus, six loaves derive optimum amount of utility for the consumer.

Hence, option 6 holds true regarding deriving the marginal utility.

Learn more about marginal utility here:

https://brainly.com/question/14149928

#SPJ2

On November 1, Alan Company signed a 120-day, 8% note payable, with a face value of $9,000. What is the maturity value (principal plus interest) of the note on March 1

Answers

Answer:

$9,240

Explanation:

Computation of Maturity Value of the note

First step is to find the interest amount using this formula

Interest amount=(Face value *Note payable)*Numbers of days to signed/Numbers of days in a year

Let plug in the formula

Interest Amount = ($9,000*8%)*120/365

Interest amount = $720 * 120 / 360

Interest amount=720*0.33333

$240

Next step is to calculate for the Maturity value using this formula

Maturity Value = Face value +Interest amount

Let plug in the formula

Maturity value =$9,000 + $240

Maturity value = $9,240

Therefore the maturity value of the note on March 1 will be $9,240

A customer wishes to purchase $100,000 face amount of municipal bonds that the broker-dealer does not have in inventory. Under MSRB rules, the firm should:

Answers

Answer:

contact enough dealers so that a reasonable market quote is obtained . when a municipal dealer acts in an agency capacity, the price charged must be representative of the market for that type of security. There is no requirement to obtain a pre-set number of quotes (as a contrast, FINRA requires that a minimum of 3 quotes be obtained for non-NASDAQ OTC issues, meaning OTCBB or Pink Sheet issues), nor is there a requirement to direct the customer to a dealer that physically has those bonds. The dealer would not sell short the bonds to the customer, since short covering is very difficult in the thinly traded municipal market.

Colleen, an active union member, applies for a job at a company that her union has targeted so that she can start organizing efforts in favor of the union. She is also being paid by the union for her efforts. Which of the following practices is Colleen employing?a. Embeddingb. Saltingc. Corporate intelligence d. Subversion

Answers

Answer:

Correct Answer:

a. Embedding

Explanation:

Colleen could only be able to acquire the needed information about the company which her Union targets by applying to work in the company. The act of infusing herself with the company is called Embedding.

She would be able to be closer to other workers as well encourage them on the need to join the unions. This she could not be able to achieve if she was outside the company.

According to the mean-variance criterion, portfolio A is better than portfolio B for a risk-averse investor whenever _____.

Answers

Answer: d. E(rA) ≥ E(rB) and σA ≤ σB

Explanation:

The options are:

a. E(rA) ≤ E(rB) and σA ≤ σB

b. E(rA) ≥ E(rB) and σA ≥ σB

c. E(rA) ≤ E(rB) and σA ≥ σB

d. E(rA) ≥ E(rB) and σA ≤ σB

Mean-variance criterion is when the means and the variances of the return of different portfolios are used as a basis to select a portfolio.

An investor will choose the portfolio that has a lower risk which is denoted by the standard deviation. Therefore, option D is correct.

The following data relate to the Denver Company's operations for the year ended December 31, 20XX:

Direct Materials Purchases $100,000
Indirect meterial usage 10,000
Indirect labor 10,000
Direct Labor 300,000
Sales salaries 100,000
Administrative salaries 50,000
Factory water and electricity 20,000
Advertising expenses 60,000
Depreciation-sales and general office 40,000
Depreciation-factory 50,000

Beginning Inventories:
Direct Materials $20,000
Work In Progress 60,000
Finished goods 80,000

Ending Inventories:
Direct Materials $30,000
Work in Progress 50,000
Finished goods 60,000

Required:
Prepare a statement of cost of goods manufactured.

Answers

Answer:

Cost of goods manufactured= $490,000

Explanation:

Giving the following information:

Overhead:

Indirect material usage 10,000

Indirect labor 10,000

Factory water and electricity 20,000

Depreciation-factory 50,000

Total overhead= 90,000

To calculate the cost of goods manufactured, we need to use the following formula:

cost of goods manufactured= beginning WIP + direct materials + direct labor + allocated manufacturing overhead - Ending WIP

Direct materials= 100,000 + 20,000 - 30,000= 90,000

cost of goods manufactured= 60,000 + 90,000 + 300,000 + 90,000 - 50,000

cost of goods manufactured= $490,000

Mr A is unemployed but he decides to move out the labor market to stay at home and enjoy the rest of his life by inheritance. Other things equal, the action will decrease the unemployment rate. True or false? and why

Answers

Answer:

False

Explanation:

In general, the unemployment rate in the United States is obtained by dividing the number of unemployed persons by the number of persons in the labor force (employed or unemployed) and multiplying that figure by 100.

https://www.britannica.com › story

la·bor force

all the members of a particular organization or population who are able to work, viewed collectively.

"a firm with a labor force of one hundred people"

Dictionary

Definitions from Oxford Languages

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

Cameroon Corp. manufactures and sells electric staplers for $15.30 each. If 10,000 units were sold in December, and management forecasts 3.3% growth in sales each month, the number of electric stapler sales budgeted for March should be:

Answers

Answer:

Electric stapler sales budgeted for March should be: 11,023 units.

Explanation:

Apply the growth of 3.30% to each month starting December as follows :

December Sales = 10,000 units

January Sales     = 10,000 × (1.033)^1  = 10,330 units

February Sales   = 10,000 × (1.033)^2 = 10,671 units

March Sales        = 10,000 × (1.033)^3 = 11,023 units

The Mono firm in __________ is renowned for its philosophy of designing cutlery and other utensils that are so sophisticated and elegant as to be "timeless."

Answers

Answer:

Germany

Explanation:

In simple words, Mono A came to both the industry in 1959. Continuously simplified utensils, which broken from all standards, was persuaded of its revolutionary value and were to be a beloved, enduring style classic.Karl Oskar Blase, whom, like Raacke, scolded just at Hochschule für Gestaltung in stockholm, has created the design, advertising and contact. It's the origin storey of Mono. Originally, Mono A was scarcely marketed at all.

Select the correct answer.
What does a production possibilities curve represent?
ОА.
a combination of price and demand of goods and services
B.
a combination of the goods produced before and after a change in a factor of production
Ос.
a combination of two factors of production used to produce a single good or service
OD
a combination of two goods that can be produced using limited resources

Answers

The statement that describes what a production possibility curve represent is: D.

What is Production Possibility Curve?Production possibility curve can be described as that which shows the quantity of two products that can possibly be produced if both products are to depend on the same resources for production to occur.The image attached below shows a typical production possibility curve.

Therefore, the statement that describes what a production possibility curve represent is: D.

Learn more about production possibility curve on:

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Two investment advisors are comparing performance. Advisor A averaged a 20% return with a portfolio beta of 1.5 and Advisor B averaged a 15% return with a portfolio beta of 1.2. If the T-bill rate was 5% and the market return during the period was 13%, which advisor was the better stock picker?

Answers

Answer:

Advisor A

Explanation:

t bill rate = 0.05

market rate = 0.13

the beta of the market is always 1

the rate of return= 0.05 + (0.13 - 0.05) x 1

= 0.13

which is 13%

this is for advisor A.

with a return of 20% and 1.5 beta

0.05 + ( 0.20 - 0.05) x 1.5

= 27.5% for advisor b

when the return is 15% and beta is 1.2

0.05 + (0.15 - 0.05) x 1.2

= 17%

Therefore advisor a is better

Laser World's income statement reported total revenues of $860,000 and total expenses (including $40,500 depreciation) of $740,000. The balance sheet reported the following: Accounts Receivable—beginning balance, $54,000 and ending balance, $57,500; Accounts Payable—beginning balance, $27,500 and ending balance, $33,500. Therefore, based only on this information, the net cash flows from operating activities were:

Answers

Answer:

the net cash flows from operating activities were: $163,000.

Explanation:

Prepare the Operating Activities Section of the Cash Flow Statement as follows :

Cash flow from Operating Activities

Net Income ( $860,000 - $740,000)                                 $120,000

Adjustment of Non-cash items :

Depreciation                                                                          $40,500

Adjustment for Changes in Working Capital items :

Increase in Accounts Receivable ($57,500 - $54,000)      ($3,500)

Increase in Accounts Payable ($33,500 - $27,500)             $6,000

Net Cash From Operating Activities                                   $163,000  

"What is the payback period for a $20,000 project that is expected to return $6,000 for the first two years and $3,000 for years three through five?"

Answers

Answer:

4.67 years.

Explanation:

PB = Years before cost recovery + (Remaining cost to recover ÷ Cash flow during the year)

= 4 + ($2,000 / $3,000)

= 4.67 years.

Suppose that the S&P 500, with a beta of 1.0, has an expected return of 13% and T-bills provide a risk-free return of 4%. a. What would be the expected return and beta of portfolios constructed from these two assets with weights in the S&P 500 of (i) 0; (ii) 0.25; (iii) 0.50; (iv) 0.75; (v) 1.0

Answers

Answer:

a. The answers are as follows:

(i) Expected of Return of Portfolio = 4%; and Beta of Portfolio = 0

(ii) Expected of Return of Portfolio = 6.25%; and Beta of Portfolio = 0.25

(iii) Expected of Return of Portfolio = 8.50%; and Beta of Portfolio = 0.50

(iv) Expected of Return of Portfolio = 10.75%; and Beta of Portfolio = 0.75

(v) Expected of Return of Portfolio = 13%; and Beta of Portfolio = 1.0

b. Change in expected return = 9% increase

Explanation:

Note: This question is not complete as part b of it is omitted. The complete question is therefore provided before answering the question as follows:

Suppose that the S&P 500, with a beta of 1.0, has an expected return of 13% and T-bills provide a risk-free return of 4%.

a. What would be the expected return and beta of portfolios constructed from these two assets with weights in the S&P 500 of (i) 0; (ii) 0.25; (iii) 0.50; (iv) 0.75; (v) 1.0

b. How does expected return vary with beta? (Do not round intermediate calculations.)

The explanation to the answers are now provided as follows:

a. What would be the expected return and beta of portfolios constructed from these two assets with weights in the S&P 500 of (i) 0; (ii) 0.25; (iii) 0.50; (iv) 0.75; (v) 1.0

To calculate these, we use the following formula:

Expected of Return of Portfolio = (WS&P * RS&P) + (WT * RT) ………… (1)

Beta of Portfolio = (WS&P * BS&P) + (WT * BT) ………………..………………. (2)

Where;

WS&P = Weight of S&P = (1) – (1v)

RS&P = Return of S&P = 13%, or 0.13

WT = Weight of T-bills = 1 – WS&P

RT = Return of T-bills = 4%, or 0.04

BS&P = 1.0

BT = 0

After substituting the values into equation (1) & (2), we therefore have:

(i) Expected return and beta of portfolios with weights in the S&P 500 of 0 (i.e. WS&P = 0)

Using equation (1), we have:

Expected of Return of Portfolio = (0 * 0.13) + ((1 - 0) * 0.04) = 0.04, or 4%

Using equation (2), we have:

Beta of Portfolio = (0 * 1.0) + ((1 - 0) * 0) = 0

(ii) Expected return and beta of portfolios with weights in the S&P 500 of 0.25 (i.e. WS&P = 0.25)

Using equation (1), we have:

Expected of Return of Portfolio = (0.25 * 0.13) + ((1 - 0.25) * 0.04) = 0.0625, or 6.25%

Using equation (2), we have:

Beta of Portfolio = (0.25 * 1.0) + ((1 - 0.25) * 0) = 0.25

(iii) Expected return and beta of portfolios with weights in the S&P 500 of 0.50 (i.e. WS&P = 0.50)

Using equation (1), we have:

Expected of Return of Portfolio = (0.50 * 0.13) + ((1 - 0.50) * 0.04) = 0.0850, or 8.50%

Using equation (2), we have:

Beta of Portfolio = (0.50 * 1.0) + ((1 - 0.50) * 0) = 0.50

(iv) Expected return and beta of portfolios with weights in the S&P 500 of 0.75 (i.e. WS&P = 0.75)

Using equation (1), we have:

Expected of Return of Portfolio = (0.75 * 0.13) + ((1 - 0.75) * 0.04) = 0.1075, or 10.75%

Using equation (2), we have:

Beta of Portfolio = (0.75 * 1.0) + ((1 - 0.75) * 0) = 0.75

(v) Expected return and beta of portfolios with weights in the S&P 500 of 1.0 (i.e. WS&P = 1.0)

Using equation (1), we have:

Expected of Return of Portfolio = (1.0 * 0.13) + ((1 – 1.0) * 0.04) = 0.13, or 13%

Using equation (2), we have:

Beta of Portfolio = (1.0 * 1.0) + (1 – 1.0) * 0) = 1.0

b. How does expected return vary with beta? (Do not round intermediate calculations.)

There expected return will increase by the percentage of the difference between Expected Return and Risk free rate. That is;

Change in expected return = Expected Return - Risk free rate = 13% - 4% = 9% increase

During December, Rainey Equipment made a $658,000 credit sale. The state sales tax rate is 6% and the local sales tax rate is 1.5%. Prepare the appropriate journal entry. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.)

Answers

So starting out they purchase your equipment with a promissory note. That promissory note is Debited to your accounts receivable for the amount of sales price (658,000) + both sales & local taxes. 6%+1.5%= 7.5% so... 1+ (7.5%*658,000)=  $707,350

then your sales tax payable is credited like this 7.5%*658,000= $49,350

and of course credit, the sales price for $658,000

Explanation:

Accounts Receivable                   $707,350 Sales Revenue                            $658,000               Sales taxes payable                         $49,350

Good luck!

#JmackTheInstructor

Thomas Kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation.​ Thomas's fastest-moving inventory item has a demand of 5,900 units per year. The cost of each unit is ​$102​, and the inventory carrying cost is ​$9 per unit per year. The average ordering cost is ​$29 per order. It takes about 5 days for an order to​ arrive, and the demand for 1 week is 118 units.​ (This is a corporate​ operation, and there are 250 working days per​ year).

Required:
a. What is the EOQ?
b. What is the average inventory if the EOQ is used?
c. What is the optimal number of orders per year?
d. What is the optimal number of days in between any two orders?
e. What is the annual cost of ordering and holding inventory?
f. What is the total annual inventory cost, including cost of the 6,000 units?

Answers

Answer: Please find answers below

Explanation:

(a) Economic order quantity EOQ = [tex]\sqrt{2 X Annual Demand X Ordering Cost) / Carrying Cost)}[/tex]

= [tex]\sqrt{2 X 5,900 X 29 / 9 }[/tex]     = [tex]\sqrt{38,022.222}[/tex]

= 194.99 units  

(b) Average number of units = Economic order quantity / 2

= 194.99 / 2  

= 97.496 units    

(c) Optimal number of orders = Annual Demand / Economic order quantity

= 5,900units / 194.99 units  =30.26  

(d) Optimal number of days between two orders = Number of working days / Optimal number of orders

= 250 days / 30.26  

= 8.26  

Total ordering cost = Cost per order X Number of orders

= $29 X 30.26  

= $ 877.54

Total holding cost = Average inventory X carrying cost per unit

= 194.99 /2  X $9  

= $877.455

(e) Annual cost of ordering and holding inventorY =Total ordering cost + Total carrying cost

= $ 877.54  + $877.455

= $ 1,754.995  ≈ $1,755  

 

 

(f) Total annual inventory cost =Total ordering cost +Total holding cost + Actual cost of 5900 units at $102 per unit    

= $ 877.54  + $877.455  + (5,900 x 102) = $1754.995 +601,800= $603,554.995≈$603,555

Total annual inventory cost =Total ordering cost +Total holding cost + Actual cost of 6000 units at $102 per unit    

= $ 877.54  + $877.455  + (6000 x 102) = $1754.995 +612,000= $613,754.995≈$613,755

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 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

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