π How cost changes affect break-even
Big Idea: When costs or prices change, the break-even point moves. Understanding HOW it moves is a key exam skill! π
If fixed costs increase
- TC line shifts UPWARD (parallel, same gradient)
- Break-even output INCREASES β need to sell more to cover higher costs
- Margin of safety DECREASES
- Example: rent goes up β TC line moves up β BEP shifts right
If variable costs increase
- TC line becomes STEEPER (starts at same point, rises faster)
- Contribution per unit falls β break-even output INCREASES
- Example: raw material prices rise β each unit costs more β TC line steepens
Exam favourite: Explain how a change in fixed OR variable costs would affect the TC line on a break-even chart. Fixed costs β shift up/down. Variable costs β change gradient.
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π² How price changes affect break-even
If selling price increases
- TR line becomes STEEPER (more revenue per unit)
- Contribution per unit rises β break-even output DECREASES
- Margin of safety INCREASES
- But: higher prices might mean fewer customers!
If selling price decreases
- TR line becomes LESS STEEP (less revenue per unit)
- Contribution per unit falls β break-even output INCREASES
- Margin of safety DECREASES
- But: lower prices might attract more customers!
Price up β TR steeper β BEP lower. Price down β TR flatter β BEP higher. Always think about BOTH the numbers AND the impact on demand! π€
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β οΈ Limitations of break-even analysis
Break-even is a useful tool, but it has some important limitations.
- Assumes all output is sold β in reality, not everything sells
- Assumes costs are purely fixed or variable β some are semi-variable
- Assumes selling price stays the same β businesses often use discounts
- Only considers one product β most businesses sell multiple products
- Static model β doesn't account for changes over time
Exam tip: In longer questions, mentioning limitations shows critical thinking and can push your answer into the top mark band.