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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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Question: This problem continues the Piedmont Computer Company situation from Chapter 19. Piedmont Computer Company manufactures personal computers and tablets. Based on the latest information from the cost accountant, using the current sales mix, the weighted-average sales price per unit is \(750 and the weighed-average variable cost per unit is \)450. The company does not expect the sales mix to vary for the next year. Average fixed costs per month are \(156,000.

Requirements

1. What is the number of units that must be sold each month to reach the breakeven point?

2. If the company currently sells 945 units per month, what is the margin of safety in units and dollars?

3. If Piedmont Computer Company desires to make a profit of \)15,000 per month, how many units must be sold?

4. Piedmont Computer Company thinks it can restructure some costs so that fixed costs will be reduced to \(90,000 per month, but the weighted-average variable cost per unit will increase to \)525 per unit. What is the new breakeven point in units? Does this increase or decrease the margin of safety? Why or why not?

What are the three approaches to calculating the sales required to achieve the breakeven point? Give the formula for each one.

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