Question

The following information relates to the only product sold by Harper Company. Sales price per unit $ 45 Variable cost per unit 27 Fixed costs per year 247,000 a. Compute the contribution margin ratio and the dollar sales volume required to break even. b. Assuming that the company sells 20,000 units during the current year, compute the margin of safety (in dollars).

Answer 1

Answer and Explanation:

The computation is shown below

a.

For Contribution Margin ratio

We know that

Contribution margin per unit = Sale price per unit - Variable cost per unit

= $45 - $27

= $18

Now

Contribution margin ratio = Contibution Margin per unit ÷ Sale price per unit

= $18 ÷ $45

= 0.4

Now

Break even sales dollar

Break even sales = Fixed Cost ÷ Contribution margin ratio

= $247,000 ÷ 0.4

= $617,500

b.

For Margin of Safety

The Margin of safety = Actual sales - Break Even Sales

where,

Actual sales(in $) = 20000 × 45

= $900,000

So, Margin of safety is

= $900,000 - $617,500

= $282,500