A firm has fixed costs of $54,000, a selling price of $40 and a variable cost of $22 per unit. It sells 3,800 units. Find the break-even output, the margin of safety and the profit.
- Contribution per unit = 40 − 22 = $18.
- Break-even output = 54,000 ÷ 18 = 3,000 units.
- Margin of safety = 3,800 − 3,000 = 800 units.
- Profit = (3,800 × 18) − 54,000 = 68,400 − 54,000 = $14,400 (the same as 800 × 18).
Answer: Break-even 3,000 units, margin of safety 800 units, profit $14,400.