๐ 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! ๐
If fixed costs increase
- TC line shifts UPWARD (parallel, same gradient)
- Break-even output INCREASES โ need to sell more to cover higher costs
- Margin of safety DECREASES
- Example: rent goes up โ TC line moves up โ BEP shifts right
If variable costs increase
- TC line becomes STEEPER (starts at same point, rises faster)
- Contribution per unit falls โ break-even output INCREASES
- Example: raw material prices rise โ each unit costs more โ 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 โ shift up/down. Variable costs โ change gradient.
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๐ฒ How price changes affect break-even
If selling price increases
- TR line becomes STEEPER (more revenue per unit)
- Contribution per unit rises โ 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 โ break-even output INCREASES
- Margin of safety DECREASES
- But: lower prices might attract more customers!
Price up โ TR steeper โ BEP lower. Price down โ TR flatter โ BEP higher. Always think about BOTH the numbers AND the impact on demand! ๐ค
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โ ๏ธ Limitations of break-even analysis
Break-even is a useful tool, but it has some important limitations.
- Assumes all output is sold โ in reality, not everything sells
- Assumes costs are purely fixed or variable โ some are semi-variable
- Assumes selling price stays the same โ businesses often use discounts
- Only considers one product โ most businesses sell multiple products
- Static model โ 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.