Answer a)
Allocation of overheads to Product A and Product B
Labour related pool:
Activity rate = Total labour related overhead cost/ Total direct labour dollars
= $ 5,000/ $ 25,000
= $ 0.20 per direct labour dollar
Allocation of overheads: Labour related
Labour related overhead cost allocated to Product A = Direct labour cost of Product A (in dollars) X Activity rate
= $ 5,000 X $ 0.20 per direct labour dollar
= $ 1,000
Therefore labour related overhead cost allocated to Product A is $ 1,000.
Labour related overhead cost allocated to Product B = Direct labour cost of Product B (in dollars) X Activity rate
= $ 20,000 X $ 0.20 per direct labour dollar
= $ 4,000
Therefore labour related overhead cost allocated to Product B is $ 4,000.
Sales related pool:
Activity rate = Total Sales related overhead cost/ Total number of units sold
= $ 4,500/ 300 units
= $ 15.00 per unit sold
Allocation of overheads: Sales related
Sales related overhead cost allocated to Product A = (Total number of units sold of Product A) X Activity rate
= 100 units X $ 15.00 per unit sold
= $ 1,500
Therefore Sales related overhead cost allocated to Product A is $ 1,500.
Sales related overhead cost allocated to Product B = (Total number of units sold of Product B) X Activity rate
= $ 200 X $ 15.00 per unit sold
= $ 3,000
Therefore Sales related overhead cost allocated to Product B is $ 3,000.
Production setups pool:
Activity rate = Total production setup based overhead cost/ Total number production batches
= $ 10,000/ 50 batches
= $ 200 per batch
Allocation of overheads: Production setup based
Production setups overhead cost allocated to Product A = (Total number production batches of Product A) X Activity rate
= 10 batches X $ 200 per batch
= $ 2,000
Therefore Production batch related overhead cost allocated to Product A is $ 2,000.
Production setups overhead cost allocated to Product B = (Total number production batches of Product B) X Activity rate
= 40 batches X $ 200 per batch
= $ 8,000
Therefore Production batch related overhead cost allocated to Product B is $ 8,000.
Working Notes:
Calculation of Total number of batches of both products:
Product A is produced in batches of 10 units, therefore total number of batches is:
Total number of batches of Product A = Total units of product A Produced/ units per batch
= 100 units / 10 units
= 10 batches
Therefore 100 units of product A are produced in 10 batches.
Product B is produced in batches of 5 units, therefore total number of batches is:
Total number of batches of Product B = Total units of product B Produced/ units per batch
= 200 units /5 units
= 40 batches
Therefore 200 units of product B are produced in 40 batches.
Total number of batches = Number of batches of Product A + Number of batches of Product B
= 10 batches + 40 batches
= 50 batches.
Therefore total number of batches of both products is 50.
Answer b)
Statement showing profit margins of Product A and Product B
|
Particulars |
Product A |
Product B |
Total |
|
Revenue |
$ 10,000 |
$ 50,000 |
$ 60,000 |
|
Costs: |
|||
|
direct materials |
$ 2,000 |
$ 10,000 |
$ 12,000 |
|
direct labour |
$ 5,000 |
$ 20,000 |
$ 25,000 |
|
Overhead Costs: |
|||
|
Labour related overhead costs |
$ 1,000 |
$ 4,000 |
$ 5,000 |
|
Sales related overhead costs |
$ 1,500 |
$ 3,000 |
$ 4,500 |
|
Production setups related overhead costs |
$ 2,000 |
$ 8,000 |
$ 10,000 |
|
Net Profit |
-$ 1,500 |
$ 5,000 |
$ 3,500 |
Therefore Profit for product A is -$ 1,500 and Products B is $ 5,000.
Calculation of Profit margin:
Profit margin = (Net Profit / Total revenue) X 100
Profit margin of product A = (-$ 1,500/ $ 10,000) X 100
= -15%
Therefore, profit margin for product A is -15%
Profit margin of product B = ($ 5,000/ $ 50,000) X 100
= 10%
Therefore, profit margin for product B is 10%
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