Question

The following information pertains to the A company’s 2014 operations: Selling Price per Unit $50 Variable...

The following information pertains to the A company’s 2014 operations:

Selling Price per Unit $50
Variable Costs per Unit $10
Total Fixed Costs $55,000

A. What is the A company’s break-even point in units? in Dollars?

B. What are the sales dollars required to obtain a pretax profit of $17,000?

C. If management decided to increase total fixed costs to $75,000, what would the new break-even point be, in both units and dollars? What would the sales dollars be to obtain the same $17,000 in profit?

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Answer #1

A.

Contribution margin per unit = Selling price per unit - Variable costs per unit

= $50 - $10

= $40

Contribution margin ratio = Contribution margin per unit / Selling price per unit

= $40 / $50

= 0.8

Break-even point in units = Fixed costs / Contribution margin per unit

= $55,000 / $40

= 1,375 units

Break-even point in dollars = Fixed costs / Contribution margin ratio

= $55,000 / 0.8

= $68,750

B.

Sales dollars required = (Fixed costs + Desired profit) / Contribution margin ratio

= ($55,000 + $17,000) / 0.8

= $90,000

C.

Break-even point in units = Fixed costs / Contribution margin per unit

= $75,000 / $40

= 1,875 units

Break-even point in dollars = Fixed costs / Contribution margin ratio

= $75,000 / 0.8

= $93,750

Sales dollars required = (Fixed costs + Desired profit) / Contribution margin ratio

= ($75,000 + $17,000) / 0.8

= $115,000

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