How are break-even units calculated?

How are break-even units calculated?

• A. Break-even units = Variable Costs / Contribution Margin per Unit.
• B. Break-even units = Fixed Costs / Contribution Margin Ratio.
• C. Break-even units = Fixed Costs × Contribution Margin per Unit.
• D. Break-even units = Fixed Costs / Contribution Margin per Unit.

Answer: (D)

Break-even in units is about how much each unit adds to covering fixed costs after variable costs are paid. That per-unit addition is the contribution margin per unit (selling price minus variable cost per unit). The total contribution from selling U units is U times the contribution margin per unit, and break-even happens when that total equals the fixed costs. So the formula is fixed costs divided by the contribution margin per unit. Example: fixed costs of 50,000, selling price 100, variable cost 60, so contribution margin per unit is 40. Break-even units = 50,000 / 40 = 1,250 units. If you used the contribution margin ratio instead, you’d get break-even in dollars, not in units, since the ratio expresses the contribution as a percentage of sales. The other options don’t fit because they don’t align with how fixed costs are recovered: one uses variable costs, another multiplies fixed costs by a per-unit margin, and the ratio-based formula yields dollars, not units.

Break-even in units is about how much each unit adds to covering fixed costs after variable costs are paid. That per-unit addition is the contribution margin per unit (selling price minus variable cost per unit). The total contribution from selling U units is U times the contribution margin per unit, and break-even happens when that total equals the fixed costs. So the formula is fixed costs divided by the contribution margin per unit.

Example: fixed costs of 50,000, selling price 100, variable cost 60, so contribution margin per unit is 40. Break-even units = 50,000 / 40 = 1,250 units.

If you used the contribution margin ratio instead, you’d get break-even in dollars, not in units, since the ratio expresses the contribution as a percentage of sales. The other options don’t fit because they don’t align with how fixed costs are recovered: one uses variable costs, another multiplies fixed costs by a per-unit margin, and the ratio-based formula yields dollars, not units.