Break-even point for a single product may be computed if ______.

Break-even point for a single product may be computed if ______.

• A. the company produces multiple products
• B. the firm has no common fixed costs
• C. the company only produces one product
• D. variable costs are zero

Answer: (C)

The key idea is that break-even analysis in its simplest form uses a single contribution margin, which is price minus variable cost per unit. When the firm produces only one product, every unit sold has the same contribution margin, so you can straightforwardly compute the break-even point in units as fixed costs divided by that contribution margin (and in dollars as fixed costs divided by the contribution margin ratio). If there are several products, you don’t have a single, uniform contribution margin per unit. The total break-even point then depends on the sales mix among the products because each product contributes differently; without knowing how much of each product will be sold, you can’t pin down a unique break-even point. That’s why having only one product makes the calculation clean and definite. The other options aren’t required for the calculation: fixed costs can be allocated across products and still allow break-even analysis with the right mix, and variable costs being zero is not the defining condition for a single, calculable break-even point.

The key idea is that break-even analysis in its simplest form uses a single contribution margin, which is price minus variable cost per unit. When the firm produces only one product, every unit sold has the same contribution margin, so you can straightforwardly compute the break-even point in units as fixed costs divided by that contribution margin (and in dollars as fixed costs divided by the contribution margin ratio).

If there are several products, you don’t have a single, uniform contribution margin per unit. The total break-even point then depends on the sales mix among the products because each product contributes differently; without knowing how much of each product will be sold, you can’t pin down a unique break-even point. That’s why having only one product makes the calculation clean and definite. The other options aren’t required for the calculation: fixed costs can be allocated across products and still allow break-even analysis with the right mix, and variable costs being zero is not the defining condition for a single, calculable break-even point.