Break-even Calculator

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Table of Contents

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What is Break-even Calculator?

The break-even point is the sales quantity at which revenue covers the fixed and variable costs included in a model. The useful first step is contribution per unit: selling price minus variable cost per unit. Each sale contributes that difference toward fixed costs; only after those fixed costs are covered does the same simplified model show a profit.

This calculator estimates break-even units and corresponding sales revenue for one product or one consistent average unit. It assumes a constant price, a constant variable cost and a fixed-cost total for a stated period. It does not forecast whether the sales will occur, or determine whether a project is worth funding. The output is a cost-volume relationship under your assumptions.

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How to Use This Calculator

  1. Enter Revenue per unit as the selling price for one unit. Use the price basis appropriate to your model and handle sales taxes consistently.
  2. Enter Cost per unit as the variable cost attributable to selling or producing one additional unit. Keep fixed costs out of this figure if they are entered separately.
  3. Enter Fixed costs for the period you are analysing. A monthly fixed-cost total gives a monthly break-even target when the unit assumptions describe the same activity.
  4. Use one currency across all inputs. The dropdowns label amounts but do not convert exchange rates.
  5. Calculate. The page rounds units upward to a whole unit, while its sales-revenue figure is calculated from the unrounded theoretical unit quantity. If you sell indivisible items, multiply the displayed whole-unit count by price to find revenue at that practical minimum.
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Formula Used

Contribution per unit = price − variable cost. Theoretical break-even units = fixed costs/contribution per unit. Theoretical break-even revenue = theoretical units×price. Displayed units are rounded upward.
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Variables Explained

InputMeaning in this calculator
Revenue per unitSelling price for one defined item or service unit, using the same currency as costs.
Cost per unitVariable cost for the same unit. Examples depend on the business; only costs that change with units belong in this simplified per-unit amount.
Fixed costsCosts included as unchanged over the modelled sales range and period.
Break-even unitsMinimum whole units after upward rounding when units are indivisible.
Break-even revenueTheoretical revenue at the unrounded threshold, which may differ from price times the rounded whole-unit output.
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Worked Example

With a price of 25, variable cost of 15 and fixed costs of 1,000, contribution is 10 per unit. Dividing 1,000 by 10 gives 100 units. At 100 sales, revenue is 2,500 and variable cost 1,500; subtracting the 1,000 fixed total leaves zero in this model.

For a rounding example, change fixed costs to 1,005. The theoretical threshold is 100.5 units and theoretical revenue 2,512.50. The page displays 101 units because half an indivisible item cannot be sold. Selling 101 at 25 produces 2,525 revenue and 1,515 variable cost, leaving 5 after fixed costs. The two outputs therefore answer slightly different threshold questions. They are not inconsistent merely because 101×25 differs from the theoretical revenue displayed.

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Why Use This Calculator?

A higher contribution per unit lowers the sales quantity required to cover the same fixed costs. A larger fixed-cost base raises it. Try changing one assumption at a time to see whether the estimated target is most sensitive to price, variable cost or overhead. A lower price can increase expected demand while raising the break-even quantity, but this tool does not model that demand response.

The model only applies over a range in which the assumptions remain reasonable. Overtime rates, volume discounts or a second production line can change the cost pattern. A business with several products also needs a sales-mix assumption rather than treating every item as identical. Cash break-even and accounting break-even can differ if the included costs use different timing or non-cash items. Keep the chosen scope beside the result so that a numerical target is not mistaken for a complete cash forecast.

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Common Mistakes

    • Do not enter fixed overhead again within variable cost per unit; that double-counts it.
    • Do not use a selling price equal to or below variable cost and expect a finite positive target. The current controller rejects that relationship.
    • Do not compare a monthly fixed-cost calculation with an annual sales target without converting the period.
    • Do not assume the theoretical revenue already incorporates upward rounding to indivisible units.
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Frequently Asked Questions

Why must price exceed variable cost?

If contribution is zero, each sale leaves nothing to cover positive fixed costs. If it is negative, each extra sale increases the modelled loss. Dividing fixed costs by a nonpositive contribution does not produce the ordinary finite positive break-even quantity described here.

Is contribution the same as final profit per unit?

No. Contribution is the amount remaining after variable cost, before fixed costs are covered. Once the fixed-cost total is included, total profit in this simplified model is units×contribution minus fixed costs. Calling contribution profit without that qualification can overstate earnings.

Why does sales revenue not equal rounded units times price?

The controller calculates revenue using the unrounded unit threshold, then separately rounds the unit result upward. For indivisible products, use the rounded count for the practical minimum and calculate its actual revenue separately. The worked example illustrates the difference.

Can I include a target profit?

There is no target-profit field. Algebraically, a similar planning exercise adds the target to fixed costs before dividing by contribution, but label that as a target-profit volume rather than break-even. Keep the original fixed costs available so the two questions remain distinguishable.

Does this predict how many customers will buy?

No. The result is the sales volume required under the entered cost model. Demand, capacity, competition and marketing are outside the formula. Comparing the target with a realistic sales forecast is a separate planning step.

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Sources & References

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