How are break-even sales calculated?

How are break-even sales calculated?

• A. Break-even sales = Revenue - Costs.
• B. Break-even sales = Contribution Margin per Unit / Fixed Costs.
• C. Break-even sales = Fixed Costs / (Sales - Variable Costs).
• D. Break-even sales = Fixed Costs / Contribution Margin Ratio.

Answer: (D)

The essential idea is that break-even happens when the money left from each sales dollar after paying variable costs is enough to cover fixed costs. That amount left per dollar is the contribution margin ratio, which is calculated as (Sales minus Variable Costs) divided by Sales. So break-even in dollars is Fixed Costs divided by that CM ratio. This tells you how many dollars of sales are needed to cover all fixed costs. For example, if fixed costs are 200,000 and the contribution margin ratio is 0.40, break-even sales = 200,000 / 0.40 = 500,000. The other forms don’t give the correct dollar amount of sales: one expression reflects profit (zero at break-even but doesn’t solve for sales), and the others mix per-unit measures or use total contribution in a way that doesn’t yield the proper break-even sales figure.

The essential idea is that break-even happens when the money left from each sales dollar after paying variable costs is enough to cover fixed costs. That amount left per dollar is the contribution margin ratio, which is calculated as (Sales minus Variable Costs) divided by Sales. So break-even in dollars is Fixed Costs divided by that CM ratio. This tells you how many dollars of sales are needed to cover all fixed costs.

For example, if fixed costs are 200,000 and the contribution margin ratio is 0.40, break-even sales = 200,000 / 0.40 = 500,000. The other forms don’t give the correct dollar amount of sales: one expression reflects profit (zero at break-even but doesn’t solve for sales), and the others mix per-unit measures or use total contribution in a way that doesn’t yield the proper break-even sales figure.