Finance & Interest
Intermediate

Break-Even Point

Units to sell to cover all costs.

Formula

Q=FCP−VCQ = \frac{FC}{P - VC}

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Variables

FCFixed costs
PPrice/unit
VCVariable cost/unit

Example

Fixed cost $1000, price $20, variable cost $10: break-even = 1000/(20−10) = 100 units.

How it works

This formula finds how many units you must sell so that total revenue exactly equals total cost. It works because each unit sold contributes an amount equal to the selling price minus the variable cost, and that contribution is used to recover the fixed costs. When the accumulated contribution has paid back the fixed costs, the business has broken even.

When to use it

Use this when you need to know the sales volume required to avoid a loss, such as for a new product, a small business, or a project proposal. It is also useful for comparing pricing or cost changes and seeing how they affect the number of units needed to cover costs.

Worked example, step by step

Fixed costs = $3,600 Price per unit = $45 Variable cost per unit = $30 Contribution per unit = P - VC = 45 - 30 = $15 Break-even units = FC / (P - VC) = 3600 / 15 = 240 Final answer: 240 units must be sold to break even.

Common mistakes to avoid

  • Using total sales revenue instead of contribution per unit (price minus variable cost)
  • Forgetting that fixed costs do not change with the number of units sold
  • Applying the formula when price per unit is less than or equal to variable cost, which makes break-even impossible

Did You Know?

The break-even point is where total revenue finally covers all costs — the first dollar of profit begins after it.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026