1. **Problem Statement:**
Identify the area of profit and loss on a break-even diagram.
2. **Understanding the Break-Even Diagram:**
- The break-even point is where total costs equal revenue.
- Profit area is where revenue is greater than total costs.
- Loss area is where total costs are greater than revenue.
3. **Identifying Profit Area:**
- On the graph, profit occurs to the right of the break-even point where the revenue line is above the total costs line.
4. **Identifying Loss Area:**
- On the graph, loss occurs to the left of the break-even point where the total costs line is above the revenue line.
5. **Summary:**
- Shade the area to the right of the break-even point between revenue and total costs as profit.
- Shade the area to the left of the break-even point between total costs and revenue as loss.
---
1. **Problem Statement:**
Using break-even diagrams for Business A and Business B, identify:
(i) The most favourable break-even point in units.
(ii) The lowest fixed cost.
(iii) The highest sales price per unit.
(iv) The lowest variable cost per unit.
2. **Break-Even Point:**
- The break-even point is where total costs equal revenue.
- The most favourable break-even point is the lowest output at which this occurs.
3. **Fixed Costs:**
- Fixed costs are represented by the horizontal line.
- The lower this line, the lower the fixed costs.
4. **Sales Price per Unit:**
- Sales price per unit is the slope of the revenue line.
- The steeper the revenue line, the higher the sales price per unit.
5. **Variable Cost per Unit:**
- Variable cost per unit is the slope of the variable costs line.
- The less steep the variable costs line, the lower the variable cost per unit.
6. **Analysis:**
- Business A break-even point is around 150 units.
- Business B break-even point is higher than 150 units.
- Fixed costs: Business A approx 600, Business B approx 900.
- Revenue line slope: Business A is steeper than Business B.
- Variable costs slope: Business A is steeper than Business B.
7. **Answers:**
(i) Most favourable break-even point: Business A (lower units).
(ii) Lowest fixed cost: Business A (600 < 900).
(iii) Highest sales price per unit: Business A (steeper revenue line).
(iv) Lowest variable cost per unit: Business B (less steep variable cost line).
---
**Final answers:**
(i) Business A
(ii) Business A
(iii) Business A
(iv) Business B
Break Even Analysis 1Cca8A
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.