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APPLY THE CONCEPTS: Calculate the break-even point in sales dollars for Epstein Hardware Further analysis of Epstein Hardware's fixed costs revealed that the company actually faces annual fixed overhead costs of $9,800 and annual fixed selling and administrative costs of $4,200

Accounting Sep 28, 2020

APPLY THE CONCEPTS: Calculate the break-even point in sales dollars for Epstein Hardware

Further analysis of Epstein Hardware's fixed costs revealed that the company actually faces annual fixed overhead costs of $9,800 and annual fixed selling and administrative costs of $4,200. Variable cost estimates are correct: direct materials cost, $4.80 per unit; direct labor costs, $6.00 per unit; and variable overhead costs, $1.20 per unit. At this time, the selling price of $40 will not change. Complete the following formulas for the revised fixed costs. Enter the ratio as a percentage.

Contribution Margin per Unit=$-$=$

Contribution Margin Ratio=$= % $ 

Now complete the formulas for (1) the break-even point in sales dollars and (2) the units sold at the break-even point. To calculate this, divide the break-even point in sales dollars by the unit selling price.

Break-Even Point in Sales Dollars=$=$  % 

Units Sold at Break-Even Point= units

Assume that the number of units that Epstein sold exceeded the break-even point by one (1).

How much would operating income be?

$

What would operating income be if the units sold exceeded the break-even point by five (5) units?

Expert Solution

Contribution Margin per Unit= Selling price per unit- Variable cost per unit

= 40- (4.80+ 6+ 1.20)

= $28

 

Contribution margin ratio= (Contribution margin per unit/ Selling price per unit)* 100

= (28/ 40)* 100

= 70%

 

Break-even sales in dollar= (Fixed cost+ Selling and adm. cost)/ Contribution margin ratio

= (9800+ 4200)/ 40%

= $35000

 

Unit sold at break even point= Break even sales/ Selling price per unit

= 35000/ 40

= 875

 

Operating income= Sales made during above units* Contribution margin per unit

= 1* 28

= $28

 

Operating income= Sales made during above units* Contribution margin per unit

= 5* 28

= $140

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