Business & Commerce
Intermediate

Break-Even (Units)

The number of units that must be sold to exactly cover all costs.

Formula

Q=Fixed CostsPrice−Variable CostQ = \dfrac{Fixed\ Costs}{Price - Variable\ Cost}

Variables

QBreak-even quantity
Fixed CostsTotal fixed costs
PriceUnit price
Variable CostPer-unit variable cost

Example

$40k fixed / $20 CM = 2000 units

How it works

This formula finds the sales volume needed so total revenue exactly matches total cost. The denominator, Price - Variable Cost, is the contribution margin per unit: each unit sold helps pay down fixed costs after covering its own variable cost. Once the accumulated contribution equals the fixed costs, the business has broken even and profit is zero.

When to use it

Use this when you need to know how many units must be sold before a product, service, or project starts making profit. It is especially useful in pricing decisions, cost planning, and comparing different product lines or production methods.

Worked example, step by step

Fixed costs = $75,000 Unit price = $50 Variable cost per unit = $30 Contribution margin per unit = $50 - $30 = $20 Break-even quantity Q = Fixed Costs / (Price - Variable Cost) Q = 75,000 / 20 Q = 3,750 units Final answer: The business must sell 3,750 units to break even.

Common mistakes to avoid

  • Using total revenue instead of contribution margin in the denominator
  • Forgetting to subtract variable cost from price before dividing
  • Mixing up units and dollars, or treating fixed costs as if they change with each unit sold

Did You Know?

Above the break-even point a business is profitable; below it, every sale still loses money overall.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026