Break-even analysis
Also known as: break-even point analysis, cost-volume-profit analysis
Break-even analysis determines the sales volume at which total revenue exactly equals total cost, so profit is zero. It separates costs into fixed and variable components and shows how many units must be sold before a project or product starts earning.
Break-even analysis answers a single question: how much do we have to sell before we stop losing money? It works by splitting costs into fixed costs, which do not change with volume (rent, equipment, salaried staff), and variable costs, which rise with each unit produced (materials, direct labor, shipping). The break-even point is the volume where revenue covers both.
The core formula is break-even units = fixed costs ÷ contribution margin per unit, where contribution margin per unit is the selling price minus the variable cost per unit. If a product sells for $50, costs $30 per unit to make, and the operation carries $100,000 in fixed costs, each unit contributes $20 toward fixed costs, so break-even is 100,000 ÷ 20 = 5,000 units. Dividing fixed costs by the contribution margin ratio instead gives the break-even point in sales dollars.
The analysis is useful well beyond the break-even point itself. Adding a target profit to fixed costs in the numerator tells you the volume needed to hit an earnings goal. The gap between expected sales and break-even sales is the margin of safety — a direct read on how much demand can fall before the operation goes into the red. In engineering economics the same logic compares alternatives: you solve for the usage level, service life, or interest rate at which two designs cost the same, which identifies the crossover point where the cheaper choice changes.
Break-even analysis is tested on both the accounting and engineering tracks. The CMA Part 1 exam covers it within contribution margin analysis and the comparison of absorption versus variable costing, while the FE Mechanical and FE Civil exams test it in the engineering economics section, usually paired with risk analysis and basic accounting principles. Expect calculation questions as well as conceptual ones about how a change in fixed costs or selling price shifts the break-even point.
Key takeaways
- The break-even point is the volume at which total revenue equals total cost and profit is zero.
- Break-even units equal fixed costs divided by the contribution margin per unit (price minus variable cost).
- Dividing fixed costs by the contribution margin ratio gives break-even sales in dollars.
- Adding a target profit to fixed costs converts the formula into a required-volume calculation.
- In engineering economics, break-even analysis identifies the crossover point where two alternatives cost the same.