How can a small business calculate break-even in dollars rather than units?

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Multiple Choice

How can a small business calculate break-even in dollars rather than units?

The key idea is that you must cover fixed costs using the contribution margin that each sale provides. The contribution margin per unit is price minus variable cost, and the contribution margin ratio expresses how much of each sales dollar goes toward fixed costs (and profit): CM ratio = (price − variable cost) / price. To find break-even in dollars, you divide fixed costs by this CM ratio. This works because every dollar of sales contributes a fixed fraction (the CM ratio) to covering fixed costs, so the total sales needed to reach zero profit is fixed costs divided by that fraction. For example, if the price is 50, the variable cost is 30, and fixed costs are 20,000, then the contribution per unit is 20 and the CM ratio is 20/50 = 0.4. Break-even sales in dollars = 20,000 / 0.4 = 50,000. That also means break-even in units is 20,000 / 20 = 1,000 units, and 1,000 units × 50 = 50,000 dollars in sales. The other formulas don’t directly give the break-even sales figure. One would only get total revenue at a certain quantity, not the required sales level to cover fixed costs. Another would mix up variable costs and price and doesn’t reflect how much of each sale actually contributes toward fixed costs. Total revenue minus total costs equals zero at break-even, but that doesn’t provide the target sales amount itself.

The key idea is that you must cover fixed costs using the contribution margin that each sale provides. The contribution margin per unit is price minus variable cost, and the contribution margin ratio expresses how much of each sales dollar goes toward fixed costs (and profit): CM ratio = (price − variable cost) / price. To find break-even in dollars, you divide fixed costs by this CM ratio. This works because every dollar of sales contributes a fixed fraction (the CM ratio) to covering fixed costs, so the total sales needed to reach zero profit is fixed costs divided by that fraction.

For example, if the price is 50, the variable cost is 30, and fixed costs are 20,000, then the contribution per unit is 20 and the CM ratio is 20/50 = 0.4. Break-even sales in dollars = 20,000 / 0.4 = 50,000. That also means break-even in units is 20,000 / 20 = 1,000 units, and 1,000 units × 50 = 50,000 dollars in sales.

The other formulas don’t directly give the break-even sales figure. One would only get total revenue at a certain quantity, not the required sales level to cover fixed costs. Another would mix up variable costs and price and doesn’t reflect how much of each sale actually contributes toward fixed costs. Total revenue minus total costs equals zero at break-even, but that doesn’t provide the target sales amount itself.

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