1. **Problem Statement:**
Determine the desired profit per unit and the selling price per unit to cover all costs and provide the desired profit.
2. **Given Data:**
- Fixed costs:
- Selling & administrative expenses = 580000
- Factory overhead = 2452000
- Variable costs per unit:
- Selling & administrative expenses = 72
- Direct labour = 85
- Direct material = 160
- Factory overhead = 134
- Desired profit per unit (given as B) = 8
3. **Step 1: Calculate total fixed costs**
$$\text{Total fixed costs} = 580000 + 2452000 = 3032000$$
4. **Step 2: Calculate total variable cost per unit**
$$\text{Variable cost per unit} = 72 + 85 + 160 + 134 = 451$$
5. **Step 3: Calculate desired profit per unit**
Given as $B = 8$
6. **Step 4: Calculate selling price per unit**
Selling price per unit must cover variable cost, fixed cost per unit, and desired profit.
Assuming production quantity $Q$ is not given explicitly, but from part b) 60000 units are required, so use $Q = 60000$ units.
Fixed cost per unit:
$$\frac{3032000}{60000} = 50.5333$$
Selling price per unit:
$$\text{Selling price} = \text{Variable cost per unit} + \text{Fixed cost per unit} + \text{Desired profit}$$
$$= 451 + 50.5333 + 8 = 509.5333$$
7. **Final answers:**
- Desired profit per unit = $8$
- Selling price per unit = $509.53$ (rounded to two decimals)
Profit Selling Price 3C308A
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