Answer:
Margin of safety in dollars = $658800
Margin of safety percentage = 0.36 or 36%
Explanation:
The margin of safety in dollars is the number of revenue that a business earns in excess of its break even level of revenue. Thus, the formula for the margin of safety in dollars is,
Margin of safety in dollars = Revenue at current sales level - Revenue at break even sales level
We must first determine the level of sales at the break even point.
The break even point in dollars can be calculated as follows,
Break even in dollars = Fixed cost / Contribution margin ratio
Where,
Contribution margin ratio = (Selling price per unit - Variable cost per unit) / Selling price per unit
Break even in dollars = 403200 / [(183 - 120) / 183]
Break even in dollars = $1171200
Margin of safety in dollars = (10000 * 183) - 1171200
Margin of safety in dollars = $658800
Break even point in units = 1171200 / 183 = 6400 units
Margin of safety as a percentage of expected sales is,
Margin of safety percentage = (10000 - 6400) / 10000
Margin of safety percentage = 0.36 or 36%
