A small business owner is considering renting a commercial kitchen for $3,500 per month to launch a catering product line. At $28 per unit selling price and $12 variable cost, they need to know how many units per month breaks even before committing to the lease.
Contribution margin = Selling price − Variable cost per unit
Break-even (units) = Fixed costs ÷ Contribution margin
Example (Finance Formulas Cheatsheet):Fixed costs $5,000 · Price $80 · Variable cost $30
Contribution = $50 · Break-even = 5,000 ÷ 50 = 100 units/month
1 What this calculator does
Calculates the break-even unit volume and break-even revenue from fixed costs, selling price per unit and variable cost per unit. Shows contribution margin in dollars and percentage. Calculates profit at any given sales volume above break-even.
2 Formula & professional reasoning
Contribution margin (CM) = Selling price - Variable cost per unit
CM ratio (%) = CM / Selling price x 100
Break-even units = Ceiling(Fixed costs / CM)
Break-even revenue = Break-even units x Selling price
Profit at volume V = (V x CM) - Fixed costs
The break-even point is where total revenue exactly covers total costs. Every unit sold contributes its contribution margin (selling price minus variable cost) toward covering fixed costs. Once fixed costs are fully covered, each additional unit's contribution margin becomes pure profit. The ceiling function is used because partial units are not typically sold -- you must sell whole units to cover costs.
3 Worked examples
⚠️ Illustrative example only — not clinical or professional instruction.
CM: $28 - $12 = $16 | CM ratio: $16/$28 = 57.1% | Break-even units: ceil($4,300/$16) = ceil(268.75) = 269 unitsProfit: (500 x $16) - $4,300 = $8,000 - $4,300New break-even: ceil($5,800/$16) = ceil(362.5) = 363 units | New BEV: $10,164/month4 Sanity check
5 Common errors
| Error | Cause | Consequence | Fix |
|---|---|---|---|
| Misclassifying costs as fixed when they are variable | Including per-unit material costs in fixed costs | Break-even understated -- appears much lower than it actually is | Fixed costs do not change with production volume. Variable costs increase proportionally with each unit. Separate them carefully: rent is fixed; packaging materials per unit are variable. |
| Not including owner's salary or time value in fixed costs | Treating the founder's labour as free | Break-even dramatically understated -- business appears viable when it is not | Include a reasonable market wage for the owner's time as a fixed cost. If the business cannot pay the owner a fair wage plus cover all other costs, it is not truly profitable. |
| Using gross revenue for break-even analysis without netting out variable costs | Treating the CM ratio wrong | Break-even revenue calculated on the wrong basis | Break-even revenue = Break-even units x Selling price. Equivalently: Break-even revenue = Fixed costs / CM ratio. Both give the same result -- check your calculation with both methods. |
| Ignoring tax in profitability analysis above break-even | Treating contribution margin profit as take-home profit | Cash flow from profit overestimated -- tax liability not provisioned | Business profit above break-even is subject to income tax (or company tax at 25-30%). For cash flow planning, provision 25-30% of profit for tax. |
6 Reference & regulatory links
7 Professional workflow
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