Break-even analysis is one of the most reliable calculation topics in O Level, IGCSE and A Level Business Studies. The method is simple, but students lose marks by mixing up fixed and variable costs or by skipping the evaluation. This guide covers the formula, a worked example, how to draw the chart and how to answer exam questions.
What Is Break-Even?
The break-even point is the level of output (or sales) at which total revenue equals total costs. At this point the business makes neither profit nor loss. Selling more than this level creates profit, and selling less creates a loss.
Break-Even Formulas
- Contribution per unit = selling price per unit – variable cost per unit
- Break-even output = fixed costs / contribution per unit
- Margin of safety = actual (or budgeted) output – break-even output
- Profit = (output x contribution per unit) – fixed costs
Worked Example
A bakery sells cakes for Rs 800 each. Variable cost is Rs 500 per cake and monthly fixed costs are Rs 150,000.
- Contribution per unit = 800 – 500 = Rs 300
- Break-even output = 150,000 / 300 = 500 cakes
- If it sells 650 cakes, margin of safety = 650 – 500 = 150 cakes
- Profit at 650 cakes = (650 x 300) – 150,000 = Rs 45,000
How to Draw a Break-Even Chart
- Draw output on the horizontal axis and costs and revenue (Rs) on the vertical axis.
- Plot the fixed cost line as a horizontal line.
- Plot total costs starting at the fixed cost level and rising with output.
- Plot total revenue from the origin.
- Mark where total revenue crosses total costs. This is the break-even point.
- Label the profit area, loss area and margin of safety.
Uses and Limitations
Uses: setting sales targets, assessing a new product, deciding on a price and supporting a loan application. Limitations: it assumes all output is sold, prices and costs stay constant, and it ignores changes in demand and competitors. Use these points when asked to evaluate.
What Happens When Things Change?
- Fixed costs rise: break-even output increases.
- Price rises: contribution per unit rises, so break-even output falls (but demand may fall).
- Variable costs rise: contribution falls, so break-even output increases.
Exam Tips
Write the formula first, show your working and include units. If you are asked whether a business should go ahead, use the margin of safety, then comment on whether the sales forecast is realistic. See also how break-even links to the pricing decision in the marketing mix.
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Frequently Asked Questions
What is the break-even formula?
Break-even output equals fixed costs divided by contribution per unit, where contribution per unit is selling price minus variable cost per unit.
What is the margin of safety?
It is the difference between actual or budgeted sales and the break-even output. It shows how far sales can fall before the business makes a loss.
Is break-even analysis in the O Level syllabus?
Yes, break-even is part of the finance content at O Level and is developed further at A Level with evaluation.
What are the limitations of break-even analysis?
It assumes constant costs and prices, and that all output is sold. Real demand and costs often change.
