How many do you have to sell?
Break-even is the first number a price has to survive.
Units per month to break even
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The price is at or below the variable cost of one unit, so every sale loses money and no volume ever covers the fixed costs. Raise the price or cut the variable cost.
Formula: fixed costs ÷ (price − variable cost)
What the number assumes
Variable cost is only what changes with each unit sold, payment fees, hosting per customer, support materials. Salaries usually belong in fixed costs even though they feel variable.
The formula defines the arithmetic. It does not define your business. A figure from this page is a starting point for a decision rather than the decision.
How to calculate a break-even point
Break-even is fixed costs divided by contribution margin, where the contribution margin is the price of a unit minus its variable cost. The answer is the number of units you must sell before the business has covered its fixed costs and starts making money.
The arithmetic is unforgiving in one specific way: if the contribution margin is zero or negative, there is no break-even point at any volume. That case is common enough in early pricing to be worth checking first, and it is the one this page refuses to answer rather than answering wrongly.
The mistake that makes break-even useless
Putting a cost on the wrong side. A cost counted as fixed when it actually scales with volume makes the break-even point look nearer than it is; a variable cost treated as fixed does the opposite. Both errors are easy to make with things like support, hosting and payment processing.
The test is direct: if you sold one more unit tomorrow, would this cost go up? If yes, it is variable, whatever the accounting category says.
Price moves break-even faster than volume
Because price affects the contribution margin per unit, a small rise reduces the break-even volume disproportionately. On a product priced at $50 with $30 of variable cost, raising the price by $5 lifts the margin from $20 to $25, which takes a fifth off the units needed, from one change.
This is why price is almost always the first lever to examine, and why it is almost always the last one attempted. Cutting variable cost has the same effect and is usually harder; growing volume is the slowest route of the three and the one most plans reach for first.
What break-even does not tell you
Whether the volume is achievable. The arithmetic will happily report that you need 4,000 units a month; it has no view on whether 4,000 people want the thing. Break-even is a constraint to check a plan against, not a plan.
It also assumes one product at one price. With a range, work it out per line and be careful about the mix. A break-even calculated on the average price is only correct if customers keep buying in the same proportions, which is exactly what tends to change when a price does.
Break-even in time rather than units
Divide the break-even volume by the units you sell in a month and you have the answer in months, which is usually the more useful form. "Units needed" is abstract; "at the current rate that is seven months" is a date somebody can plan against.
Doing it that way also exposes the seasonality. A business that sells half its year in one quarter has a break-even month rather than a break-even rate, and the cash position in the meantime is a separate problem from the annual arithmetic.
Margin of safety: how far above the line you are
The margin of safety is the gap between current volume and break-even volume, as a percentage. Selling 5,000 against a break-even of 4,000 is a 20 per cent margin of safety, the amount sales can fall before the business stops covering its fixed costs.
It is the more actionable of the two figures once you are trading, because it says how much room you have rather than how far you have come. A thin margin of safety is a reason to reduce fixed costs, whatever the growth plan says.
Questions
What if the variable cost is higher than the price?
Then there is no break-even at any volume, because every sale loses money and selling more of them loses more. The contribution margin above will be negative when that happens.
Does this work for subscriptions?
Use monthly revenue per subscriber as the price and treat churn separately, because this formula answers how many are active rather than how many signed up.
What is a contribution margin?
The price of one unit minus what that one unit costs to make or deliver. It is what each sale contributes towards the fixed costs, and once the fixed costs are covered it becomes profit. If it is negative, selling more makes things worse.
Which costs are fixed and which are variable?
Fixed costs do not move with volume in the period you are looking at. Rent, salaries, insurance and subscriptions are the usual ones. Variable costs occur per unit sold, so materials, per-transaction fees, delivery and hosting that scales with use. Where you draw the line depends on the horizon, because almost everything is variable over three years and almost nothing is over three weeks.
Does this work for a service business?
Yes, as long as you can define a unit. That might be a project, a retainer month or a delivered hour. The variable cost is what delivering one more of them costs. The awkward part is that for many service businesses the largest cost is salaried people, which is fixed in the short run and variable in the long run.
Related calculators
Same corner of the arithmetic, different question.