Break-even is the volume at which revenue covers fixed and variable costs. Positive fixed costs require a positive contribution per unit to be covered.
Results
Example calculated; edit any figure to recalculate.
Positive contribution: costs can be covered at the calculated volume.
Revenue versus total cost. Continuous lines; whole-unit rounding may place the achievable volume beyond the intersection.
Contribution per unit
$20.00
Formula and inputs used
P β V
Selling price per unit
$50.000000
Variable cost per unit
$30.000000
Contribution margin ratio
40.00%
Formula and inputs used
(P β V) / P Γ 100
Selling price per unit
$50.000000
Variable cost per unit
$30.000000
Break-even units (selected rounding)
500
Required units round upward; selected revenue uses that quantity.
Formula and inputs used
F / (P β V)
Selling price per unit
$50.000000
Variable cost per unit
$30.000000
Total fixed costs
$10,000.000000
Continuous break-even revenue
$25,000.00
Formula and inputs used
Continuous units Γ P
Selling price per unit
$50.000000
Variable cost per unit
$30.000000
Total fixed costs
$10,000.000000
Revenue at selected break-even units
$25,000.00
Required units round upward; selected revenue uses that quantity.
Formula and inputs used
Selected units Γ P
Selling price per unit
$50.000000
Variable cost per unit
$30.000000
Total fixed costs
$10,000.000000
Target-profit units
750
Required units round upward; selected revenue uses that quantity.
Formula and inputs used
(F + Target pre-tax profit) / (P β V)
Selling price per unit
$50.000000
Variable cost per unit
$30.000000
Total fixed costs
$10,000.000000
Target profit
$5,000.000000
Target-profit revenue
$37,500.00
Required units round upward; selected revenue uses that quantity.
Formula and inputs used
Target units Γ P
Selling price per unit
$50.000000
Variable cost per unit
$30.000000
Total fixed costs
$10,000.000000
Target profit
$5,000.000000
Margin of safety β units
300.000000
Formula and inputs used
Q β Continuous break-even units
Selling price per unit
$50.000000
Variable cost per unit
$30.000000
Total fixed costs
$10,000.000000
Expected sales quantity
800.000000 units
Margin of safety β revenue
$15,000.00
Formula and inputs used
Actual revenue β Continuous break-even revenue
Selling price per unit
$50.000000
Variable cost per unit
$30.000000
Total fixed costs
$10,000.000000
Expected sales quantity
800.000000 units
Margin of safety β percent
37.50%
Formula and inputs used
(Q β Continuous units) / Q Γ 100
Selling price per unit
$50.000000
Variable cost per unit
$30.000000
Total fixed costs
$10,000.000000
Expected sales quantity
800.000000 units
Profit / loss at expected quantity
$6,000.00
Formula and inputs used
Q Γ (P β V) β F
Selling price per unit
$50.000000
Variable cost per unit
$30.000000
Total fixed costs
$10,000.000000
Expected sales quantity
800.000000 units
After-tax scenario profit
Not applicable
Formula and inputs used
Profit β max(Profit, 0) Γ tax rate
No value is substituted for missing data.
How it works
Contribution is price minus variable unit cost. Fixed cost divided by contribution gives continuous units; whole-unit sales round upward. Prices and costs are your business assumptions, not universal official rates.
Formulas and conventions
Contribution per unit = price β variable cost; contribution ratio = contribution / price Γ 100.
Continuous break-even units = fixed costs / contribution. Continuous revenue = continuous units Γ price.
Target units = (fixed costs + pre-tax target profit) / contribution, using the selected rounding.
Mathematical method reviewed: Β· Current. Reviewed when the method changes. Your company figures do not have an official verification date in this tool.
Frequently asked questions
What if price equals variable cost?
There is no contribution. Positive fixed costs cannot be covered at a finite volume. With zero fixed cost and zero contribution, there is no unique point.
Can the margin of safety be negative?
Yes. A negative margin means sales are below break-even. If expected quantity is blank, only that group of results lacks data.
Why are there two break-even revenue figures?
One is the exact continuous intersection; the other is revenue at achievable units using the chosen rounding. They are kept distinct.
Can I change the price or assumed tax rate?
Yes. Calculations use the current visible value. Your change does not alter an official reference or persist outside browser memory.