Question
Sena (Pty) Ltd, which manufactures a single product, has provided the following information for March 2019:
Selling price per unit: R 150
Units in opening inventory: Nil
Units manufactured: 9500
Units sold: 9250
Variable cost per unit:
Direct materials: R 30
Direct labour: R 45
Variable manufacturing overhead: R 18,40
Variable selling and admin: R 13,20
Fixed costs:
Fixed manufacturing overheads: R 97 850
Fixed selling and admin: R 31 500
The unit product costs for March 2019 using the absorption costing method:
R 75
R93,40
R106,60
R103,70
Selling price per unit: R 150
Units in opening inventory: Nil
Units manufactured: 9500
Units sold: 9250
Variable cost per unit:
Direct materials: R 30
Direct labour: R 45
Variable manufacturing overhead: R 18,40
Variable selling and admin: R 13,20
Fixed costs:
Fixed manufacturing overheads: R 97 850
Fixed selling and admin: R 31 500
The unit product costs for March 2019 using the absorption costing method:
R 75
R93,40
R106,60
R103,70
Answers
GPT-4o mini
To calculate the unit product cost for March 2019 using the absorption costing method, you need to include both the variable and fixed manufacturing costs per unit.
### Given Information:
1. **Variable Costs:**
- Direct materials: R 30
- Direct labour: R 45
- Variable manufacturing overhead: R 18.40
**Total Variable Cost per Unit:**
\[
\text{Total Variable Cost per Unit} = \text{Direct Materials} + \text{Direct Labour} + \text{Variable Manufacturing Overhead}
\]
\[
= R 30 + R 45 + R 18.40 = R 93.40
\]
2. **Fixed Manufacturing Overheads**: R 97,850
3. **Units Manufactured**: 9,500 units
**Fixed Manufacturing Cost per Unit:**
\[
\text{Fixed Manufacturing Cost per Unit} = \frac{\text{Total Fixed Manufacturing Overheads}}{\text{Units Manufactured}}
\]
\[
= \frac{R 97,850}{9,500} \approx R 10.31
\]
### Calculate Total Unit Product Cost Using Absorption Costing:
Now, add the variable cost per unit and the fixed cost per unit to find the total cost:
\[
\text{Total Unit Product Cost} = \text{Total Variable Cost per Unit} + \text{Fixed Manufacturing Cost per Unit}
\]
\[
= R 93.40 + R 10.31 = R 103.71
\]
### Conclusion:
Rounding to two decimal places, the unit product cost for March 2019 using the absorption costing method is **R 103.70**.
So the correct answer is **R 103.70**.
### Given Information:
1. **Variable Costs:**
- Direct materials: R 30
- Direct labour: R 45
- Variable manufacturing overhead: R 18.40
**Total Variable Cost per Unit:**
\[
\text{Total Variable Cost per Unit} = \text{Direct Materials} + \text{Direct Labour} + \text{Variable Manufacturing Overhead}
\]
\[
= R 30 + R 45 + R 18.40 = R 93.40
\]
2. **Fixed Manufacturing Overheads**: R 97,850
3. **Units Manufactured**: 9,500 units
**Fixed Manufacturing Cost per Unit:**
\[
\text{Fixed Manufacturing Cost per Unit} = \frac{\text{Total Fixed Manufacturing Overheads}}{\text{Units Manufactured}}
\]
\[
= \frac{R 97,850}{9,500} \approx R 10.31
\]
### Calculate Total Unit Product Cost Using Absorption Costing:
Now, add the variable cost per unit and the fixed cost per unit to find the total cost:
\[
\text{Total Unit Product Cost} = \text{Total Variable Cost per Unit} + \text{Fixed Manufacturing Cost per Unit}
\]
\[
= R 93.40 + R 10.31 = R 103.71
\]
### Conclusion:
Rounding to two decimal places, the unit product cost for March 2019 using the absorption costing method is **R 103.70**.
So the correct answer is **R 103.70**.