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Chapter 20: Q25E (page 1126)

Question: Computing contribution margin in total, per unit, and as a ratio

Complete the table below for contribution margin per unit, total contribution margin, and contribution margin ratio:

A B C Number of units 1,720 units 14,920 units 4,620 units

Sales price per unit \( 1,800 \) 4,500 $ 5,550

Variable costs per unit 720 3,600 1,665

Calculate:                  

Contribution margin per unit                      

Total contribution margin                        

Contribution margin ratio

Short Answer

Expert verified

Answer

  1. A=1,080,B=$900,C=$3,885
  2. A=$1,857,600,B=$13,428,000,C=$17,948,700
  3. A=60%,B=12%,C=70%

Step by step solution

01

Calculation of contribution margin per unit

Sales per unit

$1800

$4500

$5,550

Less: Variable cost

$720

$3600

$1,665

Contribution

$180

$900

$3,885

02

Calculation of total contribution margin 

Number of units

1,720

14,920

4,620

Contribution

$1,080

$900

$3,885

Total contribution

$1,857,600

$13,428,000

$17,948,700

03

Calculation of contribution margin ratio

Sales per unit

$1,800

$4800

$5,550

Contribution

$1,080

$900

$3,885

Contribution margin ratio

60%

12%

70%

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Most popular questions from this chapter

Question: Gilbert’s Steel Parts produces parts for the automobile industry. Thecompany has monthly fixed costs of \(640,220 and a contribution margin of85% of revenues.

Requirements

1. Compute Gilbert’s monthly breakeven sales in dollars. Use the contributionmargin ratio approach.

2. Use contribution margin income statements to compute Gilbert’s monthlyoperating income or operating loss if revenues are \)500,000 and if they are$1,050,000.

3. Do the results in Requirement 2 make sense given the breakeven sales youcomputed in Requirement 1? Explain.

What is the purpose of using the high-low method?

The contribution margin income statement of Sugar Lips Donuts for August 2018 follows:

Sugar Lips sells three dozen plain donuts for every dozen custard-filled donuts. A dozen plain donuts sells for \(4.00, with total variable cost of \)1.80 per dozen. A dozen custard-filled donuts sells for \(8.00, with total variable cost of \)3.60 per dozen.

Requirements

1. Calculate the weighted-average contribution margin.

2. Determine Sugar Lips’s monthly breakeven point in dozens of plain donuts and custard-filled donuts. Prove your answer by preparing a summary contribution margin income statement at the breakeven level of sales. Show only two categories of costs: variable and fixed.

3. Compute Sugar Lips’s margin of safety in dollars for August 2018.

4. Compute the degree of operating leverage for Sugar Lips Donuts. Estimate the new operating income if total sales increase by 30%. (Round the degree of operating leverage to four decimal places and the final answer to the nearest dollar. Assume the sales mix remains unchanged.)

5. Prove your answer to Requirement 4 by preparing a contribution margin income statement with a 30% increase in total sales. (The sales mix remains unchanged.)

What is cost stickiness? Why do managers need to be aware of cost stickiness?

Calculating breakeven point for two products, margin of safety, andoperating leverage

The contribution margin income statement of Delectable Donuts for May 2018follows:

DELECTABLE DONUTS

Contribution Margin Income Statement

Month Ended May 31, 2018

Net Sales Revenue

\(125,000

Variable cost

Cost of goods sold

\)32,100

Selling cost

17,400

Administrative cost

500

\(50,000

Contribution Margin

\)75,000

Fixed cost

Selling cost

\(37,800

Administrative cost

12,600

\)50,400

Operating income

\(24,600

Delectable sells five dozen plain donuts for every dozen custard-filled donuts. A dozenplain donuts sells for \)4.00, with a variable cost of \(1.60 per dozen. A dozen custardfilled donuts sells for \)8.00, with a variable cost of $3.20 per dozen.

Requirements

1. Calculate the weighted-average contribution margin.

2. Determine Delectable’s monthly breakeven point in dozens of plain donuts and custard-filled donuts. Prove your answer by preparing a summary contribution nmargin income statement at the breakeven level of sales. Show only two categories of costs: variable and fixed.

3. Compute Delectable’s margin of safety in dollars for May 2018.

4. Compute the degree of operating leverage for Delectable Donuts. Estimate thenew operating income if total sales increase by 20%. (Round the degree of operating leverage to four decimal places and the final answer to the nearest dollar.Assume the sales mix remains unchanged.)

5. Prove your answer to Requirement 4 by preparing a contribution marginincome statement with a 20% increase in total sales. (The sales mix remainsunchanged.)
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