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Break-Even Calculator (Units, Revenue and Target Profit)

Break-even point in units and revenue from fixed costs, price and variable cost per unit, the units for a target profit, and profit at volumes around it.

Inputs

Break-even units
2,500

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What each Break-Even input means

Fixed costs
Costs that don't change with sales over the period: rent, salaries, insurance, software subscriptions, loan payments. Use the same period — a month or a year — as the sales you have in mind.
Price per unit
The selling price per unit, after any typical discount and before sales tax.
Variable cost per unit
What each extra unit costs you: materials, packaging, shipping, payment fees, sales commission.
Target profit (optional)
Optional: the profit you want over the same period. The page adds it to fixed costs and shows the units and revenue needed.

Break-Even formula

Break-even units = fixed costs ÷ (price − variable cost per unit) · break-even revenue = fixed costs ÷ contribution margin ratio · units for a target profit = (fixed costs + target) ÷ contribution margin

QBE=Fp−vQ_{BE} = \dfrac{F}{p - v}

The break-even point is the sales volume at which revenue exactly covers costs, so there is neither profit nor loss. Cost-volume-profit analysis, as OpenStax's managerial accounting text sets it out, splits costs in two: fixed costs such as rent and salaries, which stay the same however much you sell, and variable costs such as materials and shipping, which rise with every unit. Each sale brings in its price, pays its own variable cost, and the rest — the contribution margin — goes toward the fixed costs. Divide the fixed costs by the contribution margin per unit and you have the number of units to break even; the page rounds up, since you cannot sell part of a unit. The same point in money is the fixed costs divided by the contribution margin ratio, the share of each sale's price left after variable cost. Add a target profit and it is treated as one more fixed cost to cover, giving the units you need to reach it. The table shows profit or loss at half, three-quarters, one-and-a-quarter, one-and-a-half and twice the break-even volume.

Break-Even worked example

With $50,000 in fixed costs, a $50 selling price and $30 variable cost per unit, each sale contributes $20 toward overhead — a 40% contribution margin ratio. 50,000 ÷ 20 = 2,500 units to break even, which is $125,000 of sales (50,000 ÷ 0.40). Sell unit 2,501 and you're into profit; at 3,750 units the profit is $25,000.

More Break-Even examples

A small business with $12,000 a month of fixed costs sells at $25 with $10 of variable cost. Each unit contributes $15, so break-even is 12,000 ÷ 15 = 800 units, or $20,000 of sales. To make $6,000 profit it needs (12,000 + 6,000) ÷ 15 = 1,200 units.

Where the Break-Even calculator can give the wrong answer

  • Price must be above variable cost. If each sale costs as much as it brings in, no volume ever covers fixed costs, and the page says so.
  • It assumes one product, or an average across products. With several products at different margins, the break-even point depends on the sales mix; use a weighted average contribution margin.
  • Costs are assumed to behave in straight lines. In practice fixed costs step up (a second shop, another hire) and variable costs can fall with bulk buying, so break-even holds only within a sensible range.
  • Units are rounded up; revenue is shown two ways — the rounded units times the price, and fixed costs ÷ margin ratio — which differ by less than one unit's price.
  • Break-even ignores taxes and the timing of cash. A business can be profitable on paper and still run short of cash while waiting to be paid.

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Break-Even reference table

Break-even units for 50,000 of fixed costs
Contribution margin per unitUnits to break even
510,000
105,000
202,500
252,000
501,000
Source: Fixed costs ÷ contribution margin per unit (OpenStax Managerial Accounting §3.2)

Break-Even FAQ

Divide fixed costs by the contribution margin per unit (price minus variable cost). Rent and salaries of 30,000 a month, a price of 40 and variable cost of 25: 30,000 ÷ 15 = 2,000 units a month. Times the price, that is 80,000 of sales.