How many units must a business sell to cover its costs, and how is that worked out?
Break-even: fixed, variable and total costs, contribution per unit, calculating break-even output, the margin of safety, and interpreting a break-even chart.
A CCEA GCSE Business Studies guide to break-even. Covers fixed, variable and total costs, contribution per unit, the break-even formula, the margin of safety, how to read a break-even chart, and how to interpret what the figures mean for a business.
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What this dot point is asking
You need to explain fixed, variable and total costs, work out contribution per unit, calculate break-even output and the margin of safety, read a break-even chart, and interpret what the figures mean. CCEA examiners reward accurate calculation with method shown, correct interpretation, and an understanding of what break-even can and cannot tell a business. Break-even matters because it shows the minimum a business must sell to avoid a loss, which guides pricing, output and finance decisions.
Costs: fixed, variable and total
Before break-even, you must classify a business's costs.
Contribution and the break-even formula
The key to break-even is contribution per unit.
Worked example: calculating break-even
A common exam task is a multi-step break-even calculation.
The margin of safety
The margin of safety shows how far sales can fall before the business makes a loss.
Reading a break-even chart
A break-even chart plots output on the horizontal axis and money on the vertical axis. The total revenue line and the total cost line cross at the break-even point. To the left of the crossing point the cost line is above the revenue line, so the business makes a loss; to the right the revenue line is above the cost line, so it makes a profit. The vertical gap between the two lines beyond break-even shows the size of the profit.
Why this matters
Break-even links to pricing in the marketing mix (a higher price raises contribution and lowers the break-even point), to sources of finance (lenders want to see break-even), and to business success (knowing the break-even target helps avoid loss). In the exam, the most valuable skills are calculating contribution, break-even and margin of safety accurately with method shown, and judging the usefulness of break-even given its simplifying assumptions.
Try this
Q1. Write the formula for contribution per unit. [1 mark]
- Cue. Contribution per unit = selling price minus variable cost per unit.
Q2. Fixed costs are £6,000 and contribution per unit is £10. Calculate the break-even output. [2 marks]
- Cue. Break-even = 6,000 divided by 10 = 600 units.
Q3. A firm breaks even at 600 units and expects to sell 950. State its margin of safety. [2 marks]
- Cue. Margin of safety = 950 minus 600 = 350 units.
Exam-style practice questions
Practice questions written in the style of CCEA exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.
CCEA Unit 2 (style)4 marksA product sells for £20. Variable cost per unit is £12 and fixed costs are £4,000. Calculate the break-even output.Show worked answer →
A calculation question testing AO2. Show the working.
Contribution per unit = selling price minus variable cost per unit = £20 minus £12 = £8.
Break-even output = fixed costs divided by contribution per unit = £4,000 divided by £8 = 500 units.
The business breaks even when it sells 500 units. Marks are for the correct contribution and the correct break-even output, with method shown.
CCEA Unit 2 (style)6 marksDiscuss the usefulness of break-even analysis to a business.Show worked answer →
An extended question testing AO2 and AO3. Give uses and limitations, then judge.
Uses: it shows how many units must be sold to cover costs, helps set prices and output targets, shows the margin of safety, and supports decisions and loan applications.
Limitations: it assumes all output is sold and that costs and the selling price stay constant, which is unrealistic; and it is only as good as the estimates used.
Judgement: argue break-even is a useful planning tool that gives a clear target and shows risk, but because its assumptions are simplistic it should be used alongside other information, not on its own. A supported judgement reaches the top band.
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- The marketing mix (the four Ps): product, price, place and promotion, the main pricing methods and promotion methods, and how the four Ps must work together and suit the target market.
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Sources & how we know this
- CCEA GCSE Business Studies specification — CCEA (2017)
- CCEA GCSE Business Studies microsite — CCEA (2017)