Solution:
Solution 1) Calculation of product margins for Xtreme and the Pathfinder products under the company’s traditional costing system.
Estimated Total Manufacturing Overheads = $1,912,000
Estimated total direct labour hours = 119,500 hours
Therefore, Overhead rate per direct labour hours
= Estimated Total Manufacturing Overheads / Estimated total direct labour hours
= $1,912,000 / 119,500 hours hours = $16.00 per direct labour hour.
Overhead cost assigned to Xtreme
= Direct labour hours of Xtreme x Overhead rate per direct labour hour
= 43,500 hours x $16.00 = $696,000
Overhead cost assigned to Pathfinder
= Direct labour hours of Pathfinder x Overhead rate per direct labour hour
= 76,000 hours x $16.00 = $1,216,000
Product margins for Xtreme and the Pathfinder products under the company’s traditional costing system.
Xtreme |
Pathfinder |
|||
Total $ (29,000 Units) |
Per Unit $ |
Total $ (76,000 Units) |
Per Unit $ |
|
Sales |
33,64,000.00 |
116.00 |
60,80,000.00 |
80.00 |
Less: Variable Cost |
||||
Material |
18,56,000.00 |
64.00 |
39,52,000.00 |
52.00 |
Labour |
3,48,000.00 |
12.00 |
6,08,000.00 |
8.00 |
Total Variable Cost |
22,04,000.00 |
76.00 |
45,60,000.00 |
60.00 |
Contribution = Sales - Total Variable Cost |
11,60,000.00 |
40.00 |
15,20,000.00 |
20.00 |
Less: Fixed Cost (Overheads) |
6,96,000.00 |
24.00 |
12,16,000.00 |
16.00 |
Profit |
4,64,000.00 |
16.00 |
3,04,000.00 |
4.00 |
Solution 2) Calculation of product margins for Xtreme and the Pathfinder products under the Activity Based costing system.
Calculation of Rate per Cost Driver as per Activity Based Costing
Overheads |
Cost $ |
Cost Driver |
Number of Cost Drivers |
Rate Per Cost Driver = Cost $ / Number of Cost Drivers |
Supporting Direct Labour |
6,93,100.00 |
Direct Labour Hours |
1,19,500 |
5.80 |
Batch Setup |
5,39,000.00 |
Number of setups |
490 |
1,100.00 |
Product Sustaining |
6,40,000.00 |
Number of products |
2 |
3,20,000.00 |
18,72,100.00 |
Calculation of Overheads allocated to Xtreme and Pathfinder
Xtreme |
Pathfinder |
|||||
Costs |
Number of Activities |
Activity Rate $ |
Cost $ |
Number of Activities |
Activity Rate $ |
Cost $ |
Supporting Direct Labour |
43,500 |
5.80 |
2,52,300.00 |
76,000 |
5.80 |
4,40,800.00 |
Batch Setup |
290 |
1,100.00 |
3,19,000.00 |
200 |
1,100.00 |
2,20,000.00 |
Product Sustaining |
1 |
3,20,000.00 |
3,20,000.00 |
1 |
3,20,000.00 |
3,20,000.00 |
Total Overhead Cost $ |
8,91,300.00 |
9,80,800.00 |
||||
Number of Units |
29,000 |
76,000 |
||||
Overhead Cost per Unit $ |
30.73 |
12.91 |
Product margins for Xtreme and the Pathfinder products under the Activity Based costing system.
Xtreme |
Pathfinder |
|||
Total $ (29,000 Units) |
Per Unit $ |
Total $ (76,000 Units) |
Per Unit $ |
|
Sales |
33,64,000.00 |
116.00 |
60,80,000.00 |
80.00 |
Less: Variable Cost |
||||
Material |
18,56,000.00 |
64.00 |
39,52,000.00 |
52.00 |
Labour |
3,48,000.00 |
12.00 |
6,08,000.00 |
8.00 |
Total Variable Cost |
22,04,000.00 |
76.00 |
45,60,000.00 |
60.00 |
Contribution = Sales - Total Variable Cost |
11,60,000.00 |
40.00 |
15,20,000.00 |
20.00 |
Less: Fixed Cost (Overheads) |
8,91,300.00 |
30.73 |
9,80,800.00 |
12.91 |
Profit |
2,68,700.00 |
9.27 |
5,39,200.00 |
7.09 |
Solution 3) Preparation of quantitative comparison of the traditional and activity based cost assignments.
Xtreme |
Pathfinder |
Total |
|||
Amount |
% of Total Amount |
Amount |
% of Total Amount |
Amount |
|
Traditional Cost System |
|||||
Direct Material |
18,56,000.00 |
64.00 |
39,52,000.00 |
68.42 |
58,08,000.00 |
Direct Labour |
3,48,000.00 |
12.00 |
6,08,000.00 |
10.53 |
9,56,000.00 |
Overheads |
6,96,000.00 |
24.00 |
12,16,000.00 |
21.05 |
19,12,000.00 |
Total cost assigned to products |
29,00,000.00 |
57,76,000.00 |
86,76,000.00 |
||
Activity Based Costing System |
|||||
Direct Costs |
|||||
Direct Material |
18,56,000.00 |
59.96 |
39,52,000.00 |
71.33 |
58,08,000.00 |
Direct Labour |
3,48,000.00 |
11.24 |
6,08,000.00 |
10.97 |
9,56,000.00 |
Indirect Costs |
|||||
Supporting Direct Labour |
2,52,300.00 |
8.15 |
4,40,800.00 |
7.96 |
6,93,100.00 |
Batch Setup |
3,19,000.00 |
10.31 |
2,20,000.00 |
3.97 |
5,39,000.00 |
Product Sustaining |
3,20,000.00 |
10.34 |
3,20,000.00 |
5.78 |
6,40,000.00 |
Total cost assigned to products $ |
30,95,300.00 |
55,40,800.00 |
86,36,100.00 |
||
Costs not assigned to products: |
39,900.00 |
||||
Total cost $ |
86,76,000.00 |
||||
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