Break-Even Analysis
Break-Even Analysis
Break-even is the point where a business's total revenue equals its total costs — it is neither making a profit nor a loss. Break-even analysis is a vital planning tool.
Key Concepts
| Term | Definition | Formula |
|---|---|---|
| Break-even point | The number of units that must be sold to cover all costs | Fixed costs / Contribution per unit |
| Contribution | The amount each unit sold contributes towards covering fixed costs | Selling price per unit - Variable cost per unit |
| Total contribution | Contribution from all units sold | Contribution per unit x Number of units sold |
| Margin of safety | How many units above break-even the business is currently selling — the "safety cushion" | Actual sales - Break-even sales |
Calculating Break-Even
Step 1: Calculate contribution per unit
Contribution = Selling price - Variable cost per unit
Step 2: Calculate break-even point
Break-even = Fixed costs / Contribution per unit
Worked Example
- Selling price = £20 per unit
- Variable cost = £12 per unit
- Fixed costs = £4,000 per month
Step 1: Contribution = £20 - £12 = £8 per unit
Step 2: Break-even = £4,000 / £8 = 500 units
The business must sell 500 units per month to break even.
Margin of Safety
If the business currently sells 700 units:
Margin of safety = 700 - 500 = 200 units
This means sales could fall by 200 units before the business starts making a loss.
Break-Even Charts
A break-even chart plots revenue and costs against output (units sold):
- Fixed costs line — horizontal (stays the same at all output levels)
- Total costs line — starts at fixed costs and rises (as variable costs increase with output)
- Total revenue line — starts at zero and rises (more units sold = more revenue)
- Break-even point — where the total revenue line crosses the total costs line
- To the left of break-even = loss (costs exceed revenue)
- To the right of break-even = profit (revenue exceeds costs)
Benefits of Break-Even Analysis
- Shows how many units must be sold to cover costs — essential for planning
- Helps set pricing strategies — what happens if we change the price?
- Shows the margin of safety — how much room for error
- Helps secure funding — banks and investors want to see break-even calculations
- Allows what-if analysis — what if costs rise or demand falls?
Limitations of Break-Even Analysis
- Assumes all output is sold — in reality, not every unit finds a buyer
- Assumes fixed costs stay fixed — they may change at different levels of output (e.g. needing a bigger factory)
- Assumes selling price is constant — businesses often offer discounts for bulk orders or during sales
- Only considers one product — most businesses sell a range of products at different prices
- Based on estimates — if forecasts are wrong, the break-even point is wrong
- Static — it is a snapshot; the real business environment is dynamic
Impact of Changes
| Change | Effect on Break-Even |
|---|---|
| Price increases | Break-even falls (fewer units needed) — but demand may drop |
| Price decreases | Break-even rises (more units needed) — but demand may increase |
| Fixed costs rise | Break-even rises (more units needed to cover higher costs) |
| Variable costs fall | Break-even falls (higher contribution per unit) |
Exam Tips
- Show every step of your working — method marks are available
- Know how to read a break-even chart — identify the break-even point, profit area and loss area
- Be able to calculate break-even, contribution and margin of safety from given data
- For evaluation: Is break-even analysis reliable? Discuss its limitations
- Understand how changes in price, costs and output shift the break-even point