Question

Units sold 1,200 Price $ 10 Sales $ 12,000 Variable manufacturing costs 4,800 Fixed manufacturing costs 2,400 Variable selling costs 1,200 Fixed administrative costs 1,200 Required: Using the data provided, compute the margin of safety and margin of safety ratio.

Answer 1

Answer:

Margin of safety is 480 units

Margin of safety ratio is 40%

Explanation:

The Margin of Safety is the difference between sales and Breakeven sales in terms of Dollar or Volume.

First, we need to calculate the following values

Fixed cost = Fixed manufacturing costs + Fixed administrative costs =  $2,400 + 12,00 = $3,600

Variable cost = ( Variable manufacturing costs + Variable selling costs ) / Units sold = ( $4,800 + $1,200 ) / 1,200 units = $5

Contribution per unit = Selling price - Variable cost =  ) = $10 - $5 = $5

Breakeven sales = Fixed cost / Constribution = $3,600 / $5 = 720 units

To calculate the Margin of Safety, use the following formula

Margin of Safety = Sale - Breakeven sale = 1,200 units - 720 units = 480 units

Margin of safety ratio = Margin of safety / Sales = 480 units / 1,200 units = 0.40 = 40%