Break-Even Point
$$\text{Break-Even Units} = \frac{\text{Fixed Costs}}{\text{Price} - \text{Variable Cost per Unit}}$$
What is Break-Even Point?
The break-even point (BEP) is the exact level of sales volume at which total revenue equals total costs — the business earns no profit and incurs no loss. Below the break-even point, the business runs at a loss. Above it, every additional unit sold generates pure profit equal to the contribution margin per unit.
Break-even analysis separates costs into two types: fixed costs (rent, salaries, insurance — unchanged regardless of volume) and variable costs (materials, commissions — rising proportionally with volume). The key derived metric is the contribution margin: Price minus Variable Cost Per Unit. This is the amount each sold unit contributes toward covering fixed costs before generating profit.
Break-even can be expressed in units (how many to sell) or in revenue (what sales volume to achieve). The revenue break-even is useful when the business sells a mix of products at different price points. Both rely on the same underlying logic: fixed costs divided by contribution margin in the relevant units.
When to use Break-Even Point
Use break-even analysis before launching a new product, service, or business to determine the minimum viable volume. It is equally useful for pricing decisions (what happens to BEP if price increases by 10%?), capacity planning, and evaluating the impact of a cost structure change. The margin of safety — actual sales minus break-even sales — shows how much revenue can decline before the business enters a loss.
Worked examples
| Fixed Costs | Price/Unit | Variable Cost/Unit | CM/Unit | Break-Even Units | Break-Even Revenue |
|---|---|---|---|---|---|
| $50,000 | $25 | $10 | $15 | 3,333 | $83,333 |
| $200,000 | $100 | $40 | $60 | 3,333 | $333,333 |
| $500,000 | $50 | $20 | $30 | 16,667 | $833,333 |
| $30,000 | $15 | $9 | $6 | 5,000 | $75,000 |
Common pitfalls
Break-even analysis assumes a constant price and constant variable cost per unit — conditions that rarely hold in practice. Price discounts for bulk orders, volume-driven input cost reductions, and step-fixed-cost increases all invalidate a simple linear model. For multi-product businesses, the mixed break-even requires sales-mix assumptions that may not hold. Always treat break-even as a directional tool, not a precise forecast.
Frequently asked questions
What is the margin of safety?
Margin of safety is the gap between actual (or projected) revenue and break-even revenue, expressed as a percentage: (Actual Revenue − Break-Even Revenue) / Actual Revenue × 100. It shows how much revenue can fall before the business becomes unprofitable. A 30% margin of safety means revenue can drop 30% before losses begin. Higher is safer; below 10% is considered precarious.
How does a price increase affect the break-even point?
A price increase raises the contribution margin (Price − Variable Cost), which lowers the break-even point. Raising price from $25 to $28 on a product with $10 variable cost increases CM from $15 to $18 — reducing break-even units by 17%. This is why pricing power is one of the most important drivers of business economics.
Can break-even analysis be used for services?
Yes. For service businesses, variable cost is typically the direct labour cost per service delivered, and price is the fee charged per service. A consulting firm with $200,000 in monthly overhead, charging $5,000 per engagement at $1,500 in direct costs per engagement, has a break-even of 57 engagements per month.