Break-Even (Units)
The number of units that must be sold to exactly cover all costs.
Formula
Variables
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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More in Business & Commerce
View allSelling Price from Markup
BasicThe price to charge after adding a percentage markup to unit cost.
Discounted Price
BasicThe final price after applying a percentage discount to the list price.
Sales Tax
BasicThe amount payable once a sales-tax or VAT rate is added to the price.
Revenue
BasicTotal income from sales before any costs are deducted.
Contribution Margin
IntermediateThe amount each unit sold contributes toward covering fixed costs and profit.
Contribution Margin Ratio
IntermediateContribution margin expressed as a fraction of the selling price.