Break Even Point B2E06A
1. **Problem Statement:**
Find the break-even point for the company given the original data and then determine the break-even points for the two scenarios:
a) Fixed costs increase to Birr 2400
b) Price of each item is increased by Birr 61
2. **Formula for Break-even Point:**
The break-even point in units is given by:
$$\text{Break-even point} = \frac{\text{Fixed Costs}}{\text{Price per unit} - \text{Variable Cost per unit}}$$
3. **Given Data:**
- Fixed Costs (original) = Birr 1600
- Variable Cost per unit = Birr 25
- Price per unit (original) = Birr 45
4. **Calculate original break-even point:**
$$\text{Break-even} = \frac{1600}{45 - 25} = \frac{1600}{20} = 80 \text{ units}$$
5. **Scenario a) Fixed costs increase to Birr 2400:**
$$\text{Break-even} = \frac{2400}{45 - 25} = \frac{2400}{20} = 120 \text{ units}$$
6. **Scenario b) Price of each item increased by Birr 61:**
New price per unit = $45 + 61 = 106$
$$\text{Break-even} = \frac{1600}{106 - 25} = \frac{1600}{81} \approx 19.75 \text{ units}$$
**Final answers:**
- Original break-even point: 80 units
- a) Break-even point with fixed costs 2400: 120 units
- b) Break-even point with price increased by 61: approximately 20 units