Break-even
What Break-Even Actually Means
Before a business makes a penny of profit, it has to cover every cost it has — both fixed and variable. Break-even is the exact level of sales where total revenue equals total costs. One unit fewer and the business is in loss; one unit more and it starts making profit.
For managers, break-even is not abstract theory — it is a target. A coffee shop owner who knows she needs to sell 220 lattes a week to break even can plan opening hours, staffing and marketing around that number. If she reliably beats that figure, she is profitable.
The Break-Even Formula
OCR expects you to calculate the break-even quantity and interpret a break-even chart that you are given — you will not be asked to draw one. The underlying numbers come from one key formula:
$$\text{Break-even (units)} = \frac{\text{Fixed costs}}{\text{Contribution per unit}}$$
Contribution per unit is the selling price minus the variable cost per unit:
$$\text{Contribution} = \text{Selling price} - \text{Variable cost per unit}$$
To turn break-even units into a revenue figure:
$$\text{Break-even (revenue)} = \text{Break-even units} \times \text{Selling price}$$
Worked Example — Oakleaf Coffee
Oakleaf Coffee, a fictional independent cafe in Manchester, sells lattes at £3.50. The variable cost per latte is £1.10, and fixed costs are £1,200 a week. How many lattes does Oakleaf need to sell to break even?
Step 1 — contribution per latte:
$$\text{Contribution} = \pounds3.50 - \pounds1.10 = \pounds2.40$$
Step 2 — break-even (units):
$$\text{Break-even} = \frac{\pounds1{,}200}{\pounds2.40} = 500 \text{ lattes per week}$$
Oakleaf needs to sell 500 lattes per week to cover every penny of fixed and variable costs. Anything above 500 is profit. Anything below is loss.
Break-even (units) = Fixed costs ÷ Contribution per unit. Contribution = Selling price − Variable cost per unit. Every unit sold above the break-even point adds its contribution to profit.
Reading a Break-Even Chart
A break-even chart plots output on the horizontal axis and money on the vertical. There are three lines: a flat fixed cost line, a total cost line that rises with output, and a total revenue line that rises faster. The point where total revenue crosses total cost is the break-even point. The vertical gap between revenue and total cost to the right of that point is profit; to the left, it is loss.
The margin of safety is the gap between current sales and break-even. If Oakleaf actually sells 650 lattes a week against a break-even of 500, the margin of safety is 150 lattes. Sales could drop by 150 before the shop starts losing money — useful insurance against bad weather, a rival opening nearby, or a quiet month.
If fixed costs rise — say Oakleaf’s rent goes up by £300 a week — the top of the formula gets bigger. Break-even rises to £1,500 ÷ £2.40 = 625 lattes per week. On a chart, the fixed cost line shifts upwards and break-even moves to the right.
If the selling price rises — say the latte goes up to £4.00 — contribution becomes £4.00 − £1.10 = £2.90. Break-even falls to £1,200 ÷ £2.90 = 414 lattes. Fewer units needed because each one contributes more. On the chart, the revenue line becomes steeper and crosses total cost sooner.
If variable costs rise — say milk prices push variable cost up to £1.40 — contribution drops to £2.10. Break-even rises to £1,200 ÷ £2.10 = 572 lattes. The total cost line becomes steeper and break-even moves right.
Why Break-Even Matters for Decisions
Break-even is a planning tool. It tells Oakleaf’s owner the minimum weekly sales that have to be hit before paying herself a penny — and from that, how much marketing, staffing and stock is sensible. If a new promotion aims to sell 600 lattes a week, she knows 500 cover costs and the last 100 fund her wages, savings and reinvestment. It also informs pricing decisions. If a rival drops prices and forces Oakleaf to follow, the fall in contribution lifts break-even — she may need a cheaper milk supplier or longer opening hours to hit the new target.
Break-even also informs marketing choices. If the owner wants to run a half-price loyalty week to bring in new faces, break-even shows how many extra lattes she would need to sell to avoid losing money on the promotion. And it guides planning for expansion — opening a second shop in Stockport would double fixed costs (rent, manager, insurance) so break-even roughly doubles, meaning she would need confidence that local demand could absorb the new output before signing the lease.
Finally, break-even supports talks with a lender. A bank will look at the forecast sales figures, compare them against the calculated break-even, and decide whether the business has a credible chance of clearing it. A forecast that only just scrapes above break-even will struggle to attract finance; one that sits comfortably above leaves a margin of safety and makes the loan look safer.
A rise in fixed costs raises break-even. A rise in selling price lowers break-even. A rise in variable cost per unit raises break-even. Always recalculate contribution first, then divide.
Break-even assumes every unit sells at the same price — but in the real world Oakleaf gives staff discounts, sells loyalty-card lattes for less, and has slow mornings where she drops prices to clear stock. It also assumes variable cost per unit never changes, but milk, cups and beans all move with supplier prices.
The model is still useful — just not exact. Treat the break-even figure as a guideline for planning, not a guaranteed number. For Evaluate questions, note these limitations when weighing up the usefulness of break-even for a business decision.