1. **Problem Statement:** Calculate the break-even point in units and value, total variable expenses at break-even, units needed for target profit, and evaluate a sales proposal for Evangers Sdn. Bhd. based on the given income statement.
2. **Given Data:**
- Sales = 250,000
- Variable Cost = 130,000
- Contribution Margin = 120,000
- Fixed Cost = 76,000
- Net Income = 44,000
- Selling price per unit = 25
- No inventories
3. **Formulas and Rules:**
- Contribution Margin per unit = Selling price per unit - Variable cost per unit
- Break-even point in units = Fixed Costs / Contribution Margin per unit
- Break-even point in value = Break-even units × Selling price per unit
- Total variable expenses at break-even = Variable cost per unit × Break-even units
- Units for target profit = (Fixed Costs + Target Profit) / Contribution Margin per unit
4. **Calculations:**
- Variable cost per unit = $\frac{130000}{\frac{250000}{25}} = \frac{130000}{10000} = 13$
- Contribution margin per unit = $25 - 13 = 12$
(a) Break-even point in units:
$$\text{Break-even units} = \frac{76000}{12} = 6333.33 \approx 6334 \text{ units}$$
Break-even point in value:
$$6334 \times 25 = 158350$$
(b) Total variable expenses at break-even:
$$13 \times 6334 = 82342$$
(c) Units to earn target profit of 55000:
$$\text{Units} = \frac{76000 + 55000}{12} = \frac{131000}{12} = 10916.67 \approx 10917 \text{ units}$$
(d) Proposal evaluation:
- New fixed cost = $76000 + 6000 = 82000$
- New variable cost per unit = $13 + 1 = 14$
- New contribution margin per unit = $25 - 14 = 11$
- New sales units = $10000 + 3000 = 13000$
- New net income:
$$\text{Contribution} = 13000 \times 11 = 143000$$
$$\text{Net Income} = 143000 - 82000 = 61000$$
- Compare with old net income 44000, new net income is higher by 17000.
**Conclusion:** The company should accept the proposal as net income increases.
Final answers:
- Break-even units = 6334 units
- Break-even value = 158350
- Variable expenses at break-even = 82342
- Units for target profit = 10917 units
- Proposal increases net income to 61000, accept proposal.
Break Even Analysis E25F87
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