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Break-even output = fixed costs ÷ contribution per unit, where contribution = selling price − variable cost per unit. Free notes and 14 questions answered.
Break-Even Analysis is part of Financial terms and calculations in GCSE AQA Business.
7 min
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16
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GCSE AQA
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Break-even output = fixed costs ÷ contribution per unit, where contribution = selling price − variable cost per unit. Free notes and 14 questions answered.
Use this lesson to stay inside Financial terms and calculations while connecting the detail back to the wider Finance topic.
Read the core explanations from Break-Even Analysis before testing yourself from memory.
Every business owner faces the same fundamental question before launching a product: how many units do we need to sell before we stop losing money? Break-even analysis gives a precise, numerical answer to that question.
Think of it like this: you open a market stall selling handmade candles. You pay £200 a month for the pitch regardless of how many candles you sell. Each candle costs £3 to make and sells for £8. At some point, enough candles sold will cover that £200 — that point is your break-even output.
Banks, investors, and business owners all use break-even analysis when making financial decisions. It turns a vague hope of 'making money' into a concrete target. That is why AQA expects you to be able to calculate it, read it from a chart, and critically evaluate how useful it actually is.
Before calculating anything, you need to be clear on the building blocks. Break-even analysis uses three types of cost and revenue, and mixing them up is the most common source of errors in the exam.
Here is the relationship that ties everything together: Total Revenue = Selling Price × Units Sold. Total Costs = Fixed Costs + (Variable Cost per Unit × Units Sold). Break-even is where these two lines cross.
The concept of contribution is the engine behind the break-even formula. Rather than thinking 'how much revenue do I need?', think 'how many units of contribution do I need to cover my fixed costs?' That reframe makes the formula feel logical rather than arbitrary.
Now that contribution makes sense, the break-even formula follows directly. You are asking: how many units of contribution do I need to sell to cover all my fixed costs exactly?
Notice that variable costs do not appear separately in the formula — they are already accounted for inside the contribution figure. This is why getting contribution right first is so important.
Worked example: Calculating Break-Even Output
Priya runs a small business making personalised phone cases. Her fixed costs are £3,600 per month. Each case sells for £20 and costs £8 in materials and direct labour. Calculate her break-even output.
Answer: Break-even output = 300 units per month. Priya must sell 300 phone cases to cover her £3,600 fixed costs, given a contribution of £12 per case.
You can also calculate the break-even revenue — the total sales value at break-even — by multiplying break-even output by the selling price. For Priya: 300 × £20 = £6,000. This tells her how much revenue she needs to generate each month before making any profit.
The break-even chart is a visual representation of the same calculation. It plots total revenue and total costs against output, and the point where the two lines cross is the break-even point. AQA expects you to read values from these charts accurately and interpret what they mean.
On the chart above, the Total Revenue line starts at zero — if nothing is sold, no revenue is earned. The Total Costs line starts at £3,600 (the fixed costs) because those costs exist even at zero output. The Fixed Costs line is horizontal, confirming it does not change with output.
The two lines cross at 300 units and £6,000 — this is the break-even point. To the left of this point, total costs exceed total revenue, so the business is making a loss. To the right, total revenue exceeds total costs, so the business is making a profit. The gap between the two lines at any output level shows the size of the profit or loss.
The margin of safety is also visible on the chart. If Priya currently sells 450 units per month, the margin of safety is 450 − 300 = 150 units. This is the distance between her current output and the break-even point, measured along the horizontal axis.
When reading a break-even chart in the exam, always check the scale on both axes before reading off any values. Examiners frequently set scales that do not start at obvious intervals, and misreading the scale is one of the most avoidable ways to lose marks.
Worked example: Calculating Profit or Loss at a Given Output Level
Using Priya's business data (Fixed Costs £3,600, Selling Price £20, Variable Cost £8 per unit), calculate the profit or loss if she sells 450 units in a month.
Answer: Profit = £1,800. At 450 units, Priya's total revenue of £9,000 exceeds her total costs of £7,200, generating a profit of £1,800.
AQA's specification explicitly asks you to evaluate break-even analysis — not use it. That means you need to weigh up its genuine benefits against its real limitations and reach a supported judgement. This is where the higher marks live.
Break-even analysis is genuinely useful for start-up businesses. When Mohammed applies for a bank loan to open a cafe, the bank will want to see a break-even chart as part of his business plan. It demonstrates that he has thought carefully about costs, pricing, and the volume of customers he needs. It also helps him set a realistic sales target from day one.
It is also a valuable tool for evaluating the impact of change. If Priya's supplier increases material costs, she can recalculate her break-even point immediately and decide whether to raise her prices or find a cheaper supplier. The analysis makes the financial consequences of decisions visible and quantifiable.
However, break-even analysis rests on assumptions that may not hold in the real world. It assumes that all output is sold at the same price, that variable costs remain constant per unit, and that fixed costs do not change. In practice, businesses often offer discounts for bulk orders, face rising material costs, or need to increase fixed costs as they grow. These factors can make the break-even chart inaccurate.
The analysis also tells a business nothing about the quality of its product, the strength of its competition, or whether customers actually want what it is selling. A business could hit its break-even target in theory but still fail because demand never materialises. Break-even analysis is a planning tool, not a guarantee of success.
Break-even questions appear across all mark levels in AQA Business Studies papers — from 2-mark calculations to 9-mark evaluations. The approach you take must match the command word. A 'calculate' question needs formula, working, and a labelled answer. An 'evaluate' question needs arguments on both sides and a supported conclusion.
For evaluation questions, the strongest responses connect break-even analysis to the specific context given in the question. If the case study involves a new start-up, discuss how break-even helps secure funding. If it involves an established business facing rising costs, discuss how the break-even point will shift and what that means for pricing decisions. Generic answers that could apply to any business rarely reach the top mark band.
When reading a break-even chart, always state the values you are reading off and explain what they mean. Writing '300 units' is a state answer. Writing '300 units, which means the business must sell 300 units before it covers all its costs and begins to make a profit' is an explain answer — and that distinction can be worth an extra mark.
Published by Revise Right. Use the official specification reference to check the requirements for your course. Content updated: 2026-03-05.
Move to the related lessons or back to the topic page when you need the wider sequence before exam-style practice.
Break-even output = fixed costs ÷ contribution per unit, where contribution per unit = selling price − variable cost per unit. A business making phone cases with fixed costs of £3,600 a month, a selling price of £20 and a variable cost of £8 has a contribution of £12, so it breaks even at 300 units.
The margin of safety is the distance between a business's current output and its break-even output, measured along the horizontal axis of a break-even chart. A business that breaks even at 300 units and currently sells 450 units a month has a margin of safety of 450 − 300 = 150 units.
Break-even analysis is a tool that shows how many units a business must sell before it stops losing money, the point where total revenue equals total costs. Banks, investors and business owners use it to turn a vague hope of making money into a concrete sales target.
Contribution per unit is the selling price of one unit minus the variable cost of producing it, and each unit sold contributes this amount towards paying off fixed costs. With a selling price of £10 and a variable cost of £4, contribution is £6 per unit; once fixed costs are fully covered, contribution becomes profit.
Break-even analysis assumes all output is sold at the same price, variable costs stay constant per unit and fixed costs do not change, which often fails in practice because of bulk discounts, rising material costs or growth. It also says nothing about product quality, competition or whether customers actually want the product.
The benefits of break-even analysis are that it helps a start-up set a realistic sales target and helps a start-up get a bank loan, as a bank will want to see a break-even chart in a business plan. It also shows the impact of change, such as recalculating break-even when material costs rise.
The break-even point is the level of output where total revenue equals total costs, so the business makes neither a profit nor a loss. Priya's phone cases, with £3,600 fixed costs and £12 contribution each, break even at 300 units; selling fewer means a loss and selling more means a profit.
Break-even revenue is break-even output × the selling price, the total sales value at break-even. Priya breaks even at 300 phone cases selling at £20, so her break-even revenue is 300 × £20 = £6,000, the sales value she needs each month before making any profit.
On a break-even chart, the total revenue line starts at zero and the total costs line starts at the level of fixed costs, because fixed costs exist even at zero output. The break-even point is where the two lines cross; to the left the business makes a loss and to the right it makes a profit.
Profit can be calculated using contribution by taking the units sold beyond break-even times the contribution per unit. Priya breaks even at 300 cases with £12 contribution each, so selling 450 gives 150 × £12 = £1,800 profit, the same as total revenue of £9,000 minus total costs of £7,200.
Break-even analysis assumes all output is sold at the same price, variable costs remain constant per unit and fixed costs do not change. In practice, businesses offer discounts for bulk orders, face rising material costs or need to increase fixed costs as they grow, which can make a break-even chart inaccurate.
The total costs line on a break-even chart starts at the level of fixed costs, not zero, because those costs exist even at zero output. The total revenue line starts at zero, since nothing sold means no revenue, and the fixed costs line is horizontal.
When variable costs rise, contribution per unit falls, so a business must sell more units to break even. If Priya's supplier increases material costs, she can recalculate her break-even point immediately and decide whether to raise her prices or find a cheaper supplier.
Break-even analysis cannot guarantee success, because it says nothing about product quality, the strength of competition or whether customers actually want what is being sold. A business could hit its break-even target in theory but still fail because demand never materialises.