Costs, Scale Of Production And Break-Even Analysis: Break-Even Analysis (Copy)
Cheat Sheet: 4.2.3 Break-even Analysis
Key Concepts
| Term | Definition | Formula / Explanation | Example |
|---|---|---|---|
| Break-even point | Level of output where total revenue = total costs (no profit, no loss) | BEP (units) = Fixed Costs ÷ Contribution per unit | FC = $10,000, Price = $50, VC = $30 → BEP = 10,000 ÷ (50–30) = 500 units |
| Contribution per unit | Selling price – Variable cost per unit | $50 – $30 = $20 | |
| Margin of Safety (MOS) | Amount by which sales can fall before break-even is reached | MOS = Actual Sales – BEP Sales | Sales = 800 units, BEP = 500 → MOS = 300 units |
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change O Level And IGCSE Business Studies Full Scale Course
Break-even Chart Features
| Line | Meaning |
|---|---|
| Fixed Cost Line | Stays constant with output |
| Total Cost Line | Starts at FC, rises with output |
| Revenue Line | Starts at 0, rises with sales |
| Break-even Point | Intersection of revenue & total cost |
| Profit Area | To the right of BEP |
| Loss Area | To the left of BEP |
Interpretation Example: If price increases, revenue line steeper → BEP falls.
Uses of Break-even Analysis
| Use | Explanation |
|---|---|
| Decide output needed to cover costs | Helps in pricing & production planning |
| Test impact of changes (price, costs) | Useful for forecasting |
| Check margin of safety | Helps managers assess risk |
| Support bank loans/investment | Provides evidence for financial planning |
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change O Level And IGCSE Business Studies Full Scale Course
Limitations of Break-even
| Limitation | Explanation |
|---|---|
| Assumes all output sold | In reality, some may remain unsold |
| Assumes fixed price per unit | Discounts or competition may affect prices |
| Costs may not be constant | Variable costs can change with scale |
| Simplified model | External factors (demand, inflation) ignored |
Quick Revision Bullets
- BEP = FC ÷ (Price – VC)
- Contribution = Price – VC
- MOS = Sales – BEP
- Chart shows fixed cost, total cost, revenue → BEP = intersection
- Uses = decisions on output, pricing, risk analysis
- Limitations = assumes constant costs, price, and sales of all output
Written and Compiled By Sir Hunain Zia, World Record Holder With 154 Total A Grades, 7 Distinctions and 11 World Records For Educate A Change O Level And IGCSE Business Studies Full Scale Course