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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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Most popular questions from this chapter

Using terminology Match the following terms with the correct definitions:

1. Costs that do not change in total over wide ranges of volume.

2. Technique that estimates profit or loss results when conditions change.

3. The sales level at which operating income is zero.

4. Drop in sales a company can absorb without incurring an operating loss.

5. Combination of products that make up total sales.

6. Net sales revenue minus variable costs.

7. Describes how a cost changes as volume changes.

8. Costs that change in total in direct proportion to changes in volume.

9. The band of volume where total fixed costs and variable cost per unit remain constant.

a. Breakeven point

b. Contribution margin

c. Cost behavior

d. Margin of safety

e. Relevant range

f. Sales mix

g. Fixed costs

h. Variable costs

i. Sensitivity analysis

Using the high-low method

Mark owns a machine shop. In reviewing the shop’s utility bills for the past 12 months, he found that the highest bill of \(2,600 occurred in August when the machines worked 1,200 machine hours. The lowest utility bill of \)2,300 occurred in December when the machines worked 600 machine hours.

Requirements

1. Use the high-low method to calculate the variable cost per machine hour and the total fixed utility cost.

2. Show the equation for determining the total utility cost for the machine shop.

3. If Mark anticipates using 800 machine hours in January, predict the shop’s total utility bill using the equation from Requirement 2.

Determining mixed costs—the high-low method

The manager of Trusty Car Inspection reviewed the monthly operating costs for the past year. The costs ranged from \(4,300 for 1,300 inspections to \)3,900 for 900 inspections.

Requirements

1. Use the high-low method to calculate the variable cost per inspection.

2. Calculate the total fixed costs.

3. Write the equation and calculate the operating costs for 1,000 inspections.

4. Draw a graph illustrating the total cost under this plan. Label the axes, and show the costs at 900, 1,000, and 1,300 inspections.

Identifying variable, fixed, and mixed costs Holly’s Day Care has been in operation for several years. Identify each cost as variable (V), fixed (F), or mixed (M), relative to number of students enrolled.

1. Building rent.

2. Toys.

3. Compensation of the office manager, who receives a salary plus a bonus based on number of students enrolled.

4. Afternoon snacks.

5. Lawn service contract at $200 per month.

6. Holly’s salary.

7. Wages of afterschool employees.

8. Drawing paper for students’ artwork.

9. Straight-line depreciation on furniture and playground equipment.

10. Fee paid to security company for monthly service.

Question: Computing contribution margin, units and required sales to break even, and units to achieve target profit

Compute the missing amounts for the following table.

A B C Sales price per unit \( 200 \) 4,000 $ 5,220 Variable costs per unit 80 1,000 2,088 Total fixed costs 73,200 660,000 3,758,400 Target profit 266,760 3,000,000 3,132,000 Calculate:                          

Contribution margin per unit                          

Contribution margin ratio                          

Required units to break even                          

Required sales dollars to break even

Required units to achieve target profit

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