Break-Even Analysis (Years 9–11) — Business Studies

Break-even is the output where total revenue equals total costs; margin of safety shows how far sales exceed it.

Break-even analysis works out how many units a business must sell to cover all its costs. Below that level it makes a loss; above it, a profit.

Why this matters Before launching a product, an owner needs to know the minimum sales required just to avoid a loss. Break-even gives a clear target.

Fixed and variable costs

Fixed costs do not change with output — for example rent and insurance. They are paid even if nothing is sold.
Variable costs rise and fall with output — for example materials per unit.
Total costs = fixed costs + total variable costs.

Contribution and the formula

Contribution per unit = selling price − variable cost per unit — what each sale contributes towards paying the fixed costs.

Break-even output = fixed costs ÷ contribution per unit

For example, if fixed costs are £6,000, the selling price is £5 and the variable cost is £2 per unit, contribution is £5 − £2 = £3. Break-even = 6,000 ÷ 3 = 2,000 units.

Below the break-even point, total costs sit above revenue (a loss); above it, revenue overtakes costs (a profit).

Margin of safety

The margin of safety is how far current or planned sales are above the break-even point:

Margin of safety = actual (or planned) sales − break-even output

If the firm above plans to sell 2,500 units, the margin of safety is 2,500 − 2,000 = 500 units. The larger the margin, the more sales can fall before the business makes a loss.

Put these steps in order to find the profit at a given sales level:

Calculate contribution per unit (price − variable cost)
Calculate break-even output (fixed costs ÷ contribution)
Calculate the margin of safety (planned sales − break-even)
Multiply the margin of safety by the contribution to get profit

Uses and limits

Break-even helps set sales targets and judge new product ideas quickly, but it assumes every unit produced is sold and that price and costs stay constant — rarely true in practice — so it is best used alongside a cash-flow forecast and sound judgement.

Common exam mistake: dividing fixed costs by the selling price instead of the contribution per unit. Always subtract the variable cost from the selling price first.

Exam technique: always give your final answer in whole units with the correct label (e.g. \"2,000 units\"), and check your work by confirming that revenue equals total costs at that output.