Quick Answer
Break-even units equal fixed costs divided by contribution per unit. If fixed costs are GBP 6,000 and contribution is GBP 5, break-even is 1,200 units.
Break-even analysis answers how many units you must sell so contribution margin covers fixed costs. It is the first sanity check before you price a SKU, approve a hire, or extend a marketing experiment.
Core formula (single-product intuition)
Let F be monthly fixed costs, p price per unit, and v variable cost per unit (fully loaded with packaging, payment fees, incremental support). Contribution per unit is p − v. Break-even units ≈ F / (p − v) when the denominator is positive. If p ≤ v, you never break even on marginal math - fix pricing or cost structure first.
Numeric toy scenario
Suppose F = $24,000 per month (rent, salaries not tied to units), p = $80, and v = $35. Contribution is $45, so break-even units ≈ 24,000 / 45 ≈ 534 units/month. Anything beyond 534 generates incremental profit before corporate allocations. Plug your own numbers into the calculator below and stress-test ±10% on price and variable cost - small swings move the threshold sharply when margins are thin.
Where textbook break-even lies
Mixed product lines, step-fixed costs (another hire every N units), and nonlinear ad spend break the single-ratio story. Use break-even as a directional compass, then layer scenario tables. See business tools for ROI and margin neighbors.
| Input | Meaning | Example |
|---|---|---|
| Fixed cost | Cost before sales | Rent, salaries |
| Variable cost | Cost per sale | Materials, fees |
| Contribution | Price minus variable cost | GBP 12 - GBP 7 = GBP 5 |