What does break-even point represent?

What does break-even point represent?

• A. The level of sales where total revenue equals total costs, resulting in zero profit.
• B. The level of sales where revenue exceeds variable costs by the margin of safety.
• C. The point where total costs equal fixed costs.
• D. The level of sales required to achieve a target profit.

Answer: (A)

Break-even point is the sales level where total revenue exactly covers all costs, leaving zero profit. This happens because fixed costs are incurred regardless of output and variable costs rise with each additional unit sold, so the contribution from each unit (selling price minus variable cost) must cover the fixed costs. In practice, break-even in units = fixed costs divided by contribution margin per unit (price minus variable cost per unit); in dollars, break-even sales = fixed costs divided by the contribution margin ratio. For example, if fixed costs are 1,000, price is 20, and variable cost per unit is 12, the contribution margin per unit is 8. Break-even units = 1,000 / 8 = 125, and revenue at break-even = 125 × 20 = 2,500, which also equals fixed costs plus variable costs (1,000 + 125 × 12 = 2,500). The other descriptions refer to related ideas but don’t define break-even: margin of safety relates to how much sales can fall before hitting break-even, not the break-even point itself; total costs equal fixed costs would ignore variable costs; and targeting a specific profit is a separate profit-planning calculation.

Break-even point is the sales level where total revenue exactly covers all costs, leaving zero profit. This happens because fixed costs are incurred regardless of output and variable costs rise with each additional unit sold, so the contribution from each unit (selling price minus variable cost) must cover the fixed costs. In practice, break-even in units = fixed costs divided by contribution margin per unit (price minus variable cost per unit); in dollars, break-even sales = fixed costs divided by the contribution margin ratio.

For example, if fixed costs are 1,000, price is 20, and variable cost per unit is 12, the contribution margin per unit is 8. Break-even units = 1,000 / 8 = 125, and revenue at break-even = 125 × 20 = 2,500, which also equals fixed costs plus variable costs (1,000 + 125 × 12 = 2,500).

The other descriptions refer to related ideas but don’t define break-even: margin of safety relates to how much sales can fall before hitting break-even, not the break-even point itself; total costs equal fixed costs would ignore variable costs; and targeting a specific profit is a separate profit-planning calculation.