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Break-Even Units Calculator

Calculate the number of units needed to cover fixed and variable costs.

About this calculator

This calculator finds how many units you must sell to cover your costs, using the contribution-margin method. Contribution Margin / Unit is price minus variable cost per unit (line 13); Break-Even Units divides fixed costs by that margin and rounds up to the next whole unit, since you can't sell a fraction of a unit and still fully cover costs (line 14, Math.ceil). Price per unit has the largest effect on break-even units and units for target profit, because it moves both the denominator (contribution margin) and, for revenue figures, the multiplier at once -- a small price change ripples through more of the calculation than an equal percentage change to fixed costs or variable cost alone.

Contribution Margin Ratio, the margin expressed as a percentage of price, responds to price and variable cost by an exactly equal (opposite-signed) amount, since both enter that ratio symmetrically. Target profit only affects the two "for target profit" outputs -- Units for Target Profit and Revenue for Target Profit -- and never moves Break-Even Units or Break-Even Revenue, which are computed without regard to any profit goal. This model assumes a single product at one price and one variable cost; it doesn't account for a sales mix of multiple products, step-fixed costs, or price discounts at volume.

Inputs

$
$
$
$

Results

Break-Even Units

3,334

Break-Even Revenue$83,350.00
Contribution Margin / Unit$15.00
Contribution Margin Ratio60%
Units for Target Profit4,667
Revenue for Target Profit$116,675.00
How to Use This Calculator
  1. Enter your total fixed costs for the period (rent, salaries, insurance, etc.).
  2. Set the selling price per unit.
  3. Enter the variable cost to produce or acquire each unit.
  4. Optionally, enter a target profit above break-even.
  5. Review the break-even unit count and revenue — sell above this number to achieve profitability.

How the result changes with Price Per Unit

Price Per UnitBreak-Even Units
$13.0016,667
$19.005,556
$38.001,786
$63.00944

What each input means

Fixed Costs
Total fixed costs (rent, salaries, insurance, etc.).
Price Per Unit
Selling price per unit.
Variable Cost Per Unit
Variable cost to produce or acquire each unit.
Target Profit
Desired profit above break-even.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Fixed Costs = 50000, Price Per Unit = 25, Variable Cost Per Unit = 10, Target Profit = 20000 = 4 input(s) provided
  2. Calculate Break-Even Units
    Break-Even Units
    3334 = 3334
  3. Calculate Break-Even Revenue
    Break-Even Revenue
    83350 = $83,350
  4. Calculate Contribution Margin / Unit
    15 = $15

Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does price per unit affect break-even units more than fixed costs do?

Break-Even Units is fixedCosts / (pricePerUnit - variableCostPerUnit), rounded up (line 14). Raising price per unit shrinks the denominator (the contribution margin) at the same time it would otherwise raise revenue, so a given percentage change to price moves the ratio more than an equal percentage change to fixed costs, which only moves the numerator.

Does my target profit change how many units I need to break even?

No. Break-Even Units and Break-Even Revenue are computed purely from fixed costs, price, and variable cost (line 14-15) and never reference targetProfit at all. Target profit only feeds Units for Target Profit and Revenue for Target Profit (line 17-18), which add your desired profit on top of fixed costs before dividing by the same contribution margin.

Do price and variable cost affect my Contribution Margin Ratio equally?

Yes, in opposite directions. Contribution Margin Ratio is (price - variableCost) / price * 100 (line 16), and because variable cost only enters through that same difference-over-price structure, nudging price up a given percent swings the ratio by roughly the same size step that nudging variable cost up by that percent swings it back down -- neither input carries more structural weight than the other here.

What isn't captured by this break-even model?

This calculator assumes a single product sold at one fixed price with one variable cost per unit. It doesn't model a sales mix across multiple products with different margins, fixed costs that step up at certain volumes, or per-unit costs and prices that change with order quantity -- all of which affect a real break-even point in practice.

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