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tankabanditka [31]
3 years ago
14

Lindon Company is the exclusive distributor for an automotive product that sells for $54.00 per unit and has a CM ratio of 30%.

The company’s fixed expenses are $388,800 per year. The company plans to sell 28,600 units this year. Required: 1. What are the variable expenses per unit? (Round your "per unit" answer to 2 decimal places.) 2. What is the break-even point in unit sales and in dollar sales? 3. What amount of unit sales and dollar sales is required to attain a target profit of $226,800 per year? 4. Assume that by using a more efficient shipper, the company is able to reduce its variable expenses by $5.40 per unit. What is the company’s new break-even point in unit sales and in dollar sales? What dollar sales is required to attain a target profit of $226,800?
Business
1 answer:
matrenka [14]3 years ago
4 0

Answer:

Results are below.

Explanation:

<u>First, we need to calculate the unitary variable cost:</u>

Unitary variable cost= (1 - Contribution margin ratio)*selling price

Unitary variable cost= 0.70*54

Unitary variable cost= $37.8

<u>Now, the break-even point in units and dollar</u>s:

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

Break-even point in units= 388,800 / (54 - 37.8)

Break-even point in units= 24,000

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 388,800 / 0.3

Break-even point (dollars)= $1,296,000

<u>If the desired profit is $226,800; the following formula is required:</u>

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

Break-even point in units= (338,800 + 226,800) / 16.2

Break-even point in units= 34,914

Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio

Break-even point (dollars)= 565,600 / 0.3

Break-even point (dollars)= $1,885,333

<u>Finally, if the variable cost per unit decreases by $5.4:</u>

Unitary variable cost= $32.4

Break-even point in units= 388,800 / (54 - 32.4)

Break-even point in units= 18,000

Contribution margin ratio= unitary CM / Selling price

Contribution margin ratio= 21.6/54= 0.4

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 388,800 / 0.4

Break-even point (dollars)= 972,000

Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio

Break-even point (dollars)=  (388,800 + 226,800) / 0.4

Break-even point (dollars)= $1,539,000

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A University is offering a charitable gift program. A former student who is now 50 years old is consider the following offer: Th
xenn [34]

Answer:

The value of this deferred annuity today on his 50th birthday is <u>$2,621.27</u>.

Explanation:

Since the student's desired return of 6% will also start to be paid starting on his 65th birthday, the value of this deferred annuity today on his 50th birthday can be calculated by first calculating the value of the investment on the 65th birthday.

We therefore proceed with the following two steps:

Step 1: Calculation of the value of the investment on the 65th birthday

The value of the investment on the 65th birthday can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV at 65 = Present value of the annuity at 65th birthday =?

P = Annuity payment = Invested amount * Student's desired return = $8,900 * 6% = $534

r = Student's desired return rate = 6%, or 0.06

n = number of more years anticipate to live after 65th birthday = 21

Substitute the values into equation (1) to have:

PV at 65 = $534 * ((1 - (1 / (1 + 0.06))^21) / 0.06)

PV at 65 = $534 * 11.764076621288

PV at 65 = $6,282.02

Therefore, the value of the investment on the 65th birthday is $6,282.02.

Step 2: Calculation of the value of this deferred annuity today on his 50th birthday

The value of this deferred annuity today on his 50th birthday can therefore be calculated using the simple present value for as follows:

PV at 50 = PV at 65 / (1 + r)^N …………………………….. (2)

Where;

PV at 50 = the value of this deferred annuity today on his 50th birthday = ?

PV at 65 = Present value of the annuity at 65th birthday = $6,282.02

r = Student's desired return rate = 6%, or 0.06

N = number of years from 50th birthday to 65th birthday = 65 - 50 = 15

Substitute the values into equation (2) to have:

PV at 50 = $6,282.02 / (1 + 0.06)^15

PV at 50 = $6,282.02 / 2.39655819309969

PV at 50 = $2,621.27

Therefore, the value of this deferred annuity today on his 50th birthday is <u>$2,621.27</u>.

5 0
2 years ago
The following summarized data (amounts in millions) are taken from the September 27, 2014, and September 28, 2013, comparative f
Anarel [89]

Answer:

Apple Inc.

a. Calculate Apple Inc.'s working capital, current ratio, and acid-test ratio at September 27, 2014, and September 28, 2013. (Round your ratio answers to 1 decimal place. Enter "Working capital" in million of dollars.)

September 2014:

a) Working Capital = Current Assets - Current Liabilities

= $45,660,000 - $34,978,000 = $10,682,000

b) Current Ratio = Current Assets / Current Liabilities

= $45,660 / $34,978 = 1.3 : 1

c) Acid-Test Ratio = Current Assets - Inventory / Current Liabilities

= $45,660 - 930 / $34,978 = 1.3 : 1

September 2013:

a) Working Capital = Current Assets - Current Liabilities

= $41,940,000 - $21,160,000 = $20,780,000

b) Current Ratio  = Current Assets / Current Liabilities

= $41,940 / $21,160 = 2 : 1

c) Acid-Test Ratio Current Assets - Inventory / Current Liabilities

= $41,940 -1,200 / $21,160 = 1.9 : 1

b. Calculate Apple's ROE for the years ended September 27, 2014, and September 28, 2013. (Round your answers to 1 decimal place.)

September 2014

ROE = Net Income/Equity x 100 = $26,050/$77,290 x 100 = 33.7%

September 2013

ROE = Net Income/Equity x 100 = $14,160/$48,050 x 100 = 29.5%

c. Calculate Apple's ROI, showing margin and turnover, for the years ended September 27, 2014, and September 28, 2013. (Round "Turnover" answers to 2 decimal places. Round your percentage answers to 1 decimal place.)

September 2014

ROI = Margin x Turnover = Net Operating Income/Sales x Sales/Average Assets

= ($33,950/$108,400) x ($108,400/$120,880)

= 0.31 x 0.90

= 0.279 = 27.9%

Average Assets = $120,880 ($147,820 + 93,940) /2

September 2013

ROI = margin = turnover = Net Operating Income/Sales x Sales/Average Assets

= ($18,530/$65,370) x ($65,370/$70,880)

= 0.28 x 0.92

= 0.258 = 25.8%

Average Assets = $70,880 ($93,940 + 47,820) /2

Explanation:

<h3>Apple Inc. </h3><h3>Income Statement</h3>

For the Fiscal Years Ended September 27 and September 28, respectively:

                                                             2014                2013

Net sales                                           $108,400            $65,370

Costs of sales                                      64,580              39,690

Operating income                               33,950               18,530

Net income                                       $26,050              $14,160

Balance Sheet:

Assets

Current assets:

Cash and cash equivalents                                            $9,580      $10,630

Short-term marketable securities                                   16,280         14,510

Accounts receivable, less allowances of $84 & $99     5,520          5,670

Inventories                                                                           930           1,200

Deferred tax assets                                                          2,170            1,780

Vendor non-trade receivables                                       6,500           4,560

Other current assets                                                      4,680           3,590

Total current assets                                                     45,660          41,940

Long-term marketable securities                               85,770          25,540

Property, plant, and equipment, net                            7,930          22,670

Goodwill                                                                         1,060               890

Acquired intangible assets, net                                   3,690               490

Other assets                                                                  3,710              2,410

Total assets                                                             $147,820        $93,940

Liabilities and Shareholders Equity

Current liabilities:

Accounts payable                                                     $14,780          $12,160

Accrued expenses                                                      9,400             5,870

Deferred revenue                                                       4,250              3,130

Commercial paper                                                      6,548             0

Total current liabilities                                              34,978             21,160

Deferred revenue: noncurrent                                   1,840              1,290

Long-term debt                                                        23,452            17,760

Other noncurrent liabilities                                      10,260             5,680

Total liabilities                                                          70,530           45,890

Shareholders' Equity:

Common stock and additional paid-in capital,$0.00001

par value, 1,900,000 shares authorized; 929,430 & 916,130

shares issued & outstanding, respectively            13,490             10,810

Retained earnings                                                  63,200           37,320

Accumulated other comprehensive income (loss)    600                (-80)

Total shareholders' equity                                     77,290           48,050

Total liabilities & shareholders' equity              $147,820        $ 93,940

At September 29, 2012, total assets were $47,820 and total shareholders' equity was $31,800.

b) Working Capital is the excess of current assets over current liabilities.  It shows the amount of finance needed for meeting day-to-day operations of an entity.  Working capital measures a company's liquidity, operational efficiency, and its short-term financial health.  A healthy entity has some excess of current assets over current liabilities in order to continue to run the business operations in the short-run.  Working capital can also be measured in relative terms with the use of ratios, especially the current ratio and the acid-test ratio.

c) ROE means Return on equity.  It is a financial performance measure calculated by dividing net income by shareholders' equity.   Since shareholders' equity is equal to a company's assets minus its debt, ROE is considered as the return on net assets.  As with return on capital, a ROE measures management's ability to generate income from the equity available to it.

d) Return on Investment (ROI) is a financial performance measure which evaluates the efficiency of an investment or compares the efficiency of a number of different investments.  ROI tries to directly measure the amount of return on a particular investment, relative to the investment's cost.  As a financial metric, it measures the probability of gaining a return from an investment.

6 0
3 years ago
Moon Flower Cosmetics Company’s executives are aware that their Asian customer base is interested in advanced skin care treatmen
Lady_Fox [76]

Answer:A merger

Explanation:

This is coming of two companies to form a new firm with both companies losing their indentity .

7 0
3 years ago
If the Federal Reserve buys $8,500 worth of securities from non-bank public, and the non-bank public then keeps the payment from
vova2212 [387]

Answer:

c: C increases by $8,500 and the MB increases by $8,500

Explanation:

If the Federal Reserve buys $8,500 in securities from non-bank public and then payment is kept from the bank in form of cash, theC increases by $8,500 and the MB increases by $8,500

5 0
3 years ago
The skillful supply chain manager declared she would not only disaggregate cycle inventory, but she would also aggregate safety
Elena-2011 [213]

Answer:

a. high value and high demand.

Explanation:

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Generally, when dealing with the transportation of goods that has high value and high demand, it is necessary and important that manufacturers or suppliers use the fast mode in order to meet up with their consumer's increasing demand. Simply stated, an increase in the demand for goods and services should be met with an increased supply, so as to reach equilibrium.

For the safety inventory, which are extra level of goods carried for the purpose of mitigating consumer demand that exceeds the amount forecasted by the manufacturer or supplier in a given period of time.

She decided, she would use a fast mode of transportation for safety inventory of goods with high value and high demand.

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3 0
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