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Exercise 4-24 Basic Break-Even Calculations Suppose that Adams Company sells a product for S20

Management Jan 16, 2021

Exercise 4-24 Basic Break-Even Calculations Suppose that Adams Company sells a product for S20. Unit costs are as follows: 
Direct materials Direct labor Variable factory overhead Variable selling and administrative expense 
$1.90 1.40 2.10 1.60 
Total fixed factory overhead is S54,420 per year, and total fixed selling and administrative expense is 538,530. Required: I. Calculate the variable cost per unit and the contribution margin per unit. 2. Calculate the contribution margin ratio and the variable cost ratio. 3. Calculate the break-even units. 4. Prepare a contribution margin income statement at the break-even number of units. 
 

Expert Solution

1) Computation of Variable Cost per Unit and Contribution Margin per Unit:

Variable cost per unit = Direct material cost + Direct labor cost + Variable overhead cost + Variable selling expenses

= 1.90 + 1.40 + 2.10 + 1.60

Variable cost per unit = $7.00

 

Contribution margin = Selling price - Variable cost

= $20 - $7.00

Contribution Margin per unit = $13.00

 

2) Computation of Contribution Margin Ratio and Variable Cost Ratio:

Contribution Margin Ratio = Contribution Margin per Unit/Sales Price per Unit

= $13/$20

Contribution Margin Ratio = 65%

 

Variable Cost Ratio = Variable Cost per Unit / Sales Price per Unit

= $7/$20

Variable Cost Ratio = 35%

 

3) Computation of Break-even Point in Units:

Break-even Point in Units = Total Fixed Costs/Contribution Margin per Unit

Here,

Total Fixed cost = Total Fixed Overhead + Total Fixed selling and administration expenses

= $54,420+$38,530

Total Fixed Cost = $92,950

 

Break-even Point in Units = $92,950/$13 = 7,150 units

 

4) PFA

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