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
VCVariable cost

Example

Profit starts beyond this

How it works

This formula gives the number of units you must sell so that total revenue exactly covers total costs, leaving neither profit nor loss. It works because each unit contributes a margin of P - VC toward paying off fixed costs; once the fixed costs are fully covered, every additional unit creates profit. If the selling price is only slightly above the variable cost, you need many more units to break even because each sale contributes less toward those fixed costs.

When to use it

Use this when you need to find the sales level required to avoid a loss for a product, service, or project. It is especially useful for pricing decisions, budgeting, and checking whether a business idea can become profitable at expected sales volumes.

Worked example, step by step

A small bakery has fixed monthly costs of $12,000. Each cake sells for $30, and the variable cost to make one cake is $18. Contribution per cake = P - VC = 30 - 18 = $12 Break-even quantity = FC / (P - VC) = 12,000 / 12 = 1,000 cakes Final answer: The bakery must sell 1,000 cakes per month to break even.

Common mistakes to avoid

  • subtracting fixed costs from price instead of subtracting variable cost from price
  • forgetting that the answer is a quantity of units, not dollars
  • using total revenue or total cost without first finding the per-unit contribution margin

Did You Know?

The break-even point is where a business finally stops losing money and starts to profit.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026