Break-Even Point
Units to sell to cover all costs.
Formula
Live Calculator
MembersVariables
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.
Share this formula
More in Finance & Interest
View allSimple Interest
BasicInterest earned on principal at a simple rate.
Compound Interest
BasicValue of principal compounded n times per year.
Continuous Compounding
AdvancedValue with interest compounded continuously.
Future Value
BasicFuture worth of a present sum.
Present Value
BasicPresent worth of a future sum.
Future Value of Annuity
AdvancedFuture value of regular equal payments.