- 20 Marks
Question
Chukwumah Nigeria Limited manufactures and sells three products X, Y and Z. The company is recently considering the introduction of an activity-based costing approach to facilitate efficient cost allocation, as well as achieve improvement in cost accuracy and reduction.
The new approach will use two direct costs categories (direct materials and direct labour) as well as five indirect cost pools which represent the five activity areas. The prior product costing system uses the two direct cost categories and a single indirect cost pool where overheads are allocated using direct labour hours.
The following information is provided for the next period:
| Product X | Product Y | Product Z | |
|---|---|---|---|
| Production and sales (units) | 120,000 | 75,000 | 30,000 |
| Direct material cost | N190 | N180 | N160 |
| Direct Labour Hours | 6 | 8 | 7 |
| Machine hours | 4 | 8 | 9 |
| Number of production runs | 15 | 30 | 75 |
| Number of component receipts | 45 | 75 | 360 |
| Number of production orders | 45 | 30 | 75 |
Direct labour is paid at N8 per hour. Variable overhead is paid at N34 per unit for Product X, N44 per unit for Product Y and N38 per unit for Product Z.
Fixed Overhead Costs in the period are expected to be as follows:
| N | Cost Driver | |
|---|---|---|
| Set up | 1,260,000 | Production Runs |
| Machine | 8,100,000 | Machine Hours |
| Goods inwards | 2,520,000 | Company Receipt |
| Packaging | 1,800,000 | Production Order |
| Engineering | 1,620,000 | Production Order |
N15,300,000
Required:
a. Calculate the unit costs of each product using:
(i) Prior product costing approach (Traditional Cost) based on direct labour hourly rate.
(ii) The ABC method. (10 Marks)
b. The company considered the pricing of the three products where sales prices have remained uncertain as shown in the table below:
| Product X | Product Y | Product Z | |||
|---|---|---|---|---|---|
| Prob. | N | Prob. | N | Prob. | N |
| 0.5 | 300 | 0.6 | 350 | 0.5 | 450 |
| 0.3 | 360 | 0.3 | 400 | 0.4 | 440 |
| 0.2 | 390 | 0.1 | 420 | 0.1 | 430 |
Compute the expected unit sales prices for the three products and the total profit or loss for each product that will arise from the implementation of the ABC costing approach and the traditional costing method. (7 Marks)
c. State reasons why activity based costing approach may be preferred to traditional absorption costing approach in modern manufacturing environment. (3 Marks)
Answer
a.
(i) Traditional costing unit costs:
Product X: ₦332
Product Y: ₦368
Product Z: ₦324
(ii) ABC unit costs:
Product X: ₦307.83
Product Y: ₦354.57
Product Z: ₦454.25
b. Expected unit sales prices:
Product X: ₦336
Product Y: ₦372
Product Z: ₦444
Total profit/loss under ABC:
Product X: ₦3,380,400
profit Product Y: ₦1,307,250
profit Product Z: ₦(307,500) loss
Under traditional:
Product X: ₦480,000
profit Product Y: ₦300,000
profit Product Z: ₦3,600,000 profit
c. Reasons for preferring ABC:
- Provides more accurate product costs by assigning overheads based on activities that drive costs.
- Better reflects the complexity of modern manufacturing with diverse products and processes.
- Aids in identifying non-value-adding activities for cost reduction.
- Topic: Activity-based costing
- Series: MAY 2025
- Uploader: Samuel Duah