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Spring Company\'s cost structure is dominated by variable costs with a contribut

ID: 2335100 • Letter: S

Question

Spring Company's cost structure is dominated by variable costs with a contribution margin ratio of 0.20 and fixed costs of $60,000. Every dollar of sales contributes 20 cents toward fixed costs and profit. The cost structure of a competitor, Winters Company, is dominated by fixed costs with a higher contribution margin ratio of 0.70 and fixed costs of $310,000. Every dollar of sales contributes 70 cents toward fixed costs and profit. Both companies have sales of $500,000 per month. Required: a. Compare the two companies' cost structures. SPRING COMPANY WINTERS COMPANY Amount Percentage Amount Percentage Sales Variable cost Contribution margin Fixed costs Operating profit b. Suppose that both companies experience a 8 percent increase in sales volume. By how much would each company's profits increase? Spring Company's profits increase by Winter Company's profits increase by

Explanation / Answer

a.

SPRING COMPANY

WINTER COMPANY

Amount

Percentage

Amount

Percentage

Sales

$500,000

100

%

$500,000

100

%

Less: Variable cost

$400,000

$150,000

Contribution margin

$100,000

20

%

$350,000

70

%

Less: Fixed cost

$60,000

$310,000

Operating profit

$40,000

8

%

$40,000

8

%

Explanation:

Variable cost = Sales x (1- contribution margin)

Spring Company’s variable cost = $ 500,000 x (1 - 0.2) = $ 500,000 x 0.8 = $ 400,000

Winter Company’s variable cost = $ 500,000 x (1 - 0.7) = $ 500,000 x 0.3 = $ 150,000

Operating profit % = Operating profit/sales x 100 = $ 40,000/$ 500,000 x 100 = 0.08 x 100 = 8 %

b.

Spring Company’s profit increase by

$ 8,000

Winter Company’s profit increase by

$ 28,000

Explanation:

Increase in profit = contribution margin ratio x increase in sales

Increase in profit of Spring company = 0.2 x $ 500,000 x 0.08 = $ 8,000

Increase in profit of Winter company = 0.7 x $ 500,000 x 0.08 = $ 28,000

                                                    

SPRING COMPANY

WINTER COMPANY

Amount

Percentage

Amount

Percentage

Sales

$500,000

100

%

$500,000

100

%

Less: Variable cost

$400,000

$150,000

Contribution margin

$100,000

20

%

$350,000

70

%

Less: Fixed cost

$60,000

$310,000

Operating profit

$40,000

8

%

$40,000

8

%

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