How many units must be sold before fixed and variable costs are covered?

Unit break-even divides fixed cost by contribution per unit. Contribution is selling price minus variable cost, so only the amount left from each sale is available to recover fixed costs.

Fixed costs divided by contribution per unit

Contribution per unit = Price − Variable costBreak even units = Fixed costs ÷ Contribution per unitBreak even revenue = Break even units × Price

The sales volume that covers the cost base

The default case calculates contribution per unit first, then determines the unit count and corresponding revenue required to cover the entered fixed cost.

Illustrative inputs; currency amounts below use USD. Rates and prices are assumptions, not live quotes.

Fixed costs
$12,000.00
Price per unit
$45.00
Variable cost per unit
$18.00

Step-by-step calculation

  1. Contribution per unit = 45 − 18 = 27.
  2. Break-even volume = 12,000 ÷ 27 = 444.444444 units. If only whole units can be sold, round up to 445.
  3. At the mathematical threshold, sales revenue = 444.444444 × 45 = 20,000.

Intermediate figures are rounded for reading. Results use the full calculation precision.

Units to break even444.44
Revenue needed$20,000.00
Contribution per unit$27.00
Contribution margin60%

Which inputs move break-even fastest

A higher selling price or lower variable cost increases contribution and reduces break-even units. Higher fixed cost raises the required volume without changing unit economics.

When no positive unit break-even exists

If variable cost equals or exceeds selling price, each additional sale contributes nothing—or makes the shortfall worse—so a normal break-even quantity does not exist.

  • Selling price and variable cost per unit remain constant.
  • Every unit produced is sold within the modelled period.
  • Capacity constraints, stepped fixed costs and product mix are excluded.

Calculations related to break even point

The following tools examine neighbouring parts of the same calculation without changing the inputs or assumptions used above.

References

Sources and conventions

Quick answers

Frequently asked questions

What costs belong in fixed costs?

Use costs that do not change directly with unit volume, while per-unit costs belong in the variable-cost input.

Why does a lower variable cost reduce break-even units?

It increases contribution per unit, so each sale covers a larger part of fixed costs.

Should break-even units be rounded up?

Operationally, a fractional unit cannot usually be sold, so the next whole unit may be required even though the calculator displays the direct formula result.

Calculation method and limitations · Report an error

Educational content only. This guide is not financial advice.