A small business can end a month with higher revenue than the previous month and still have a worse result. It may have sold less profitable products, incurred additional costs or cut its prices without enough extra volume to compensate. The break-even point puts a number on a specific question: how many units must be sold to cover the costs included in the calculation? It also helps show what a promotion would really require before it is announced. It does not replace a cash flow forecast or guarantee that sales targets will be reached; it is a tool for making decisions based on explicit assumptions.<\/p>\n
In a simple single-product model, the break-even point is the volume at which revenue equals fixed costs plus variable costs. The calculated result at that point is zero. Below it, the model shows a loss; above it, a positive result, provided its assumptions hold. The formula in units is fixed costs \u00f7 (unit price \u2212 variable cost per unit)<\/strong>. The difference between price and variable cost is the contribution per unit<\/strong>: what each sale contributes towards covering fixed costs and, after that, generating a positive result.<\/p>\n The calculation is useful as a guide only if that contribution is positive. If it is zero or negative, selling more units at the same price, unit cost and cost structure does not create a viable break-even point: each additional sale either contributes nothing towards fixed costs or makes the result worse. Before relying on a break-even figure, also check that the expected price, cost per unit and product mix are reasonably stable over the period being analysed.<\/p>\n First choose a period, such as a month, and use comparable amounts. For an operating calculation, identify the costs you would incur even if you sold no units during that month and those that change with each unit sold. Do not classify an item solely by its name: a direct cost for a particular order does not always vary proportionally with each unit, and an apparently fixed expense may rise when you need another shift, more space or additional capacity.<\/p>\n It is worth recording what has been excluded. The simplified operating result you obtain is not necessarily net profit, nor does it show how much money will be in the bank. If you want to check whether the business can provide a target level of remuneration for its owner, decide whether that amount forms part of the costs to be covered or whether you will assess it as an additional target. Do this only once: adding it to costs and then requiring it again in the result would double-count the requirement.<\/p>\n Imagine a fictional business that sells just one product. During the month, it has \u20ac6,000 in fixed costs<\/strong>, a price of \u20ac50 per unit<\/strong> and a variable cost of \u20ac20 per unit<\/strong>. The contribution is \u20ac30 per unit. It therefore needs to sell 6,000 \u00f7 30 = 200 units<\/strong> to cover the costs in the model. At that volume, revenue is \u20ac10,000<\/strong>: variable costs total \u20ac4,000 and, together with the \u20ac6,000 in fixed costs, equal revenue.<\/p>\n You can also express the break-even point as revenue if you know the contribution ratio<\/strong>. In this case, it is (50 \u2212 20) \u00f7 50 = 60%<\/strong>. The formula is break-even revenue = fixed costs \u00f7 contribution ratio<\/strong>, so 6,000 \u00f7 0.60 = \u20ac10,000. Do not confuse this sales figure with money earned. If the business sells 250 units at the original price, it generates \u20ac12,500 in revenue, incurs \u20ac5,000 in variable costs and has a simplified operating result of \u20ac1,500<\/strong> after subtracting the \u20ac6,000 in fixed costs.<\/p>\n All amounts in this example are fictional, exclude indirect taxes and use a consistent basis for costs. They do not describe client results or include other items that a particular business may need to account for to determine its full result.<\/p>\n Suppose the discount applies to every unit in this monthly scenario and the variable cost remains \u20ac20. The price falls from \u20ac50 to \u20ac45<\/strong>; the contribution falls from \u20ac30 to \u20ac25 per unit<\/strong>. Fixed costs do not change. The new break-even point is 6,000 \u00f7 25 = 240 units<\/strong>, with revenue of \u20ac10,800<\/strong>. The business would have to sell 40 more units to cover the same costs, even though break-even revenue is now higher.<\/p>\n What happens if it still sells 250 units? It would generate \u20ac11,250 in revenue, incur \u20ac5,000 in variable costs and \u20ac6,000 in fixed costs: its simplified operating result would fall to \u20ac250<\/strong>. To retain the \u20ac1,500 result from the original scenario, it would need to sell 300 units<\/strong>, because (300 \u00d7 25) \u2212 6,000 = \u20ac1,500. The commercial question is no longer \u201cWill we sell more?\u201d but \u201cAre 300 units feasible with this capacity and these costs?\u201d<\/p>\n The comparison assumes that every sale receives the discount. If the discount is offered only on certain units or to certain customers, do not apply the reduced price to the whole month: separate the groups, calculate their contributions and rebuild the result. Also check whether the expected increase requires additional hours, deliveries or resources. If costs change as sales grow, the figure of 300 units no longer represents the same scenario.<\/p>\n A break-even point that looks achievable in a spreadsheet may not be achievable in practice. Review your actual production or service capacity, the time available and the demand you can sustain on the basis of concrete evidence. Distinguish between a possible sale and one that has already been agreed. If increasing capacity means adding another shift or incurring an additional cost, recalculate using the new level of fixed costs rather than extending the same result line indefinitely.<\/p>\n Also pay attention to semi-variable costs: they may have a stable monthly component and another linked to activity. Separating them reasonably is more useful than forcing the entire item into one category. When you sell several products, each may make a different contribution. In that case, you need to review the weightings in the expected sales mix; dividing all fixed costs by the margin on any one product would give a misleading conclusion if the mix changes.<\/p>\n Finally, a calculated result is not a schedule of receipts and payments. You may have made a sale without having collected the payment yet; you may also face payments that this operating model is not intended to represent. Repaying a loan and recovering an initial investment require different questions and calculations. To compare the result with your actual accounts, accounting as a management tool<\/a> may help; to anticipate money coming in and going out, prepare a separate weekly cash flow forecast<\/a>.<\/p>\n You do not need to start with a complex model. Set up a spreadsheet with five starting figures<\/strong> for each scenario: period, fixed costs, unit price, variable cost per unit and expected units sold. From these, calculate the contribution per unit, break-even units, break-even revenue and simplified operating result at the expected sales volume. If the formula produces a fraction of a unit, round up to identify the first whole unit that covers the costs.<\/p>\n Put the current scenario, the discount and any alternative you want to compare in separate columns. Below the figures, write down the assumptions: who receives the price, whether there is capacity for the volume, which costs might change and where the sales forecast comes from. Keep a price list or commercial proposal, the cost breakdown used and the internal records against which you check units sold as supporting documents. A figure without a period, a person responsible or supporting documentation is difficult to review the following month.<\/p>\n There is no universal number of additional sales that makes a discount worthwhile. The decision depends on the contribution given up, the sales that are genuinely feasible and the costs incurred in fulfilling them. If the figures are unreliable, the first useful step is not to adjust the price but to clarify what each cost includes and who can verify it.<\/p>\n No. In the original example, \u20ac10,000 is the revenue from 200 units, just enough to cover the costs included. The simplified operating result at that point is zero; other items are also outside this calculation.<\/p>\n Only if you define a sales mix and calculate its weighted contribution. When the share of each product changes, the model\u2019s result changes. That is why it is worth reviewing the expected mix and comparing it with actual sales.<\/p>\n Exceeding it indicates a positive result under the assumptions used, not that the promotion is the best option. Also compare the result with the scenario without a discount, the capacity required and the effect on receipts and payments.<\/p>\n These educational materials were consulted on October 16, 2026, for the definition and formulas; they are not presented as new developments: Government of the Canary Islands \u00b7 Model solved PAU exercises, Business Economics<\/a> and Government of the Balearic Islands \u00b7 EIE07, The break-even point<\/a>.<\/p>\nPrepare the figures before doing the division<\/h2>\n
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A monthly example, step by step<\/h2>\n
What happens if you offer a 10% discount<\/h2>\n
Limits worth discussing before deciding<\/h2>\n
A monthly template for making decisions<\/h2>\n
A short routine before approving the price cut<\/h2>\n
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Frequently asked questions<\/h2>\n
Is generating \u20ac10,000 in revenue the same as earning \u20ac10,000?<\/h3>\n
Can I calculate a single break-even point for my entire catalogue?<\/h3>\n
Is a promotion worthwhile if it exceeds the new break-even point?<\/h3>\n
Sources<\/h2>\n