Question

Hyde's Headphones sells deluxe headphones for $75 each. Unit variable expenses total $45. Fixed costs are...

Hyde's Headphones sells deluxe headphones for $75 each. Unit variable expenses total $45. Fixed costs are $60,000.

Current sales are 3,500 units.

What is the margin of safety in dollars?

Homework Answers

Answer #1

Ans. Margin of safety in dollars is equal to the difference between current sales in dollars and break even sales in dollars.

Working notes:

*Calculation for contribution margin ratio:

Contribution margin ratio = (Selling price per unit - Variable cost per unit) / Selling price per unit

= ($75 - $45) / $75

= $30 / $75

= 40%

*Calculation of break even sales in dollars:

Break even sales in dollars = Fixed cost / Contribution margin ratio

= $60,000 / 40%

= $150,000

*Calculation of current sales in dollars:

Current sales in dollars = Current sales in units * Selling price per unit

= 3,500 * $75

= $262,500

*Calculation for margin of safety in dollars:

Margin of safety in dollars = Current sales in dollars - Break even sales in dollars

= $262,500 - $150,000

= $112,500

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