Solution 1) Calculation of allocation of overheads using Machine hours as an allocation base
Department |
Cost $ |
Design |
38,000.00 |
Engineering |
30,000.00 |
Production |
2,50,000.00 |
Total Overheads |
3,18,000.00 |
Total Machine Hours = Rural Motors + Aegean Motors + Jerdon Auto
= 220 + 3300 + 1480 = 5,000 Machine Hours
Therefore, Overhead cost per Machine hour = Total Overhead Cost / Total Number of Machine Hours
= $318,000 / 5,000 Hours = $63.60 per Machine Hour
Allocation of Overheads using Machine hours as an allocation base
Rural Motors |
Aegean Motors |
Jerdon Auto |
|
Number of Machine hours |
220.00 |
3,300.00 |
1,480.00 |
Rate of Overheads per Hour |
63.60 |
63.60 |
63.60 |
Total Overheads allocated |
13,992.00 |
2,09,880.00 |
94,128.00 |
Solution 2) Calculation of allocation of overheads using Department based manufacturing rates as an allocation base:
Calculation of Rate per Cost Driver:
Department |
Cost $ |
Cost Driver |
Number of Cost Drivers |
Rate Per Cost Driver = Cost $ / Number of Cost Drivers |
Design |
38,000.00 |
CAD-Design Hours |
400 Hours |
$95.00 per hour |
Engineering |
30,000.00 |
Engineering Hours |
400 Hours |
$75.00 per hour |
Production |
2,50,000.00 |
Machine Hours |
5,000 Hours |
$50.00 per hour |
3,18,000.00 |
Allocation of Overheads using Department based manufacturing rates as an allocation base:
Rural Motors |
Aegean Motors |
Jerdon Auto |
|||||||
Cost Driver |
Number of Activities |
Activity Rate $ |
Cost $ |
Number of Activities |
Activity Rate $ |
Cost $ |
Number of Activities |
Activity Rate $ |
Cost $ |
Design |
115 |
95.00 |
10,925.00 |
202 |
95.00 |
19,190.00 |
83 |
95.00 |
7,885.00 |
Engineering |
85 |
75.00 |
6,375.00 |
78 |
75.00 |
5,850.00 |
237 |
75.00 |
17,775.00 |
Production |
220 |
50.00 |
11,000.00 |
3,300 |
50.00 |
1,65,000.00 |
1,480 |
50.00 |
74,000.00 |
Total Overheads |
28,300.00 |
1,90,040.00 |
99,660.00 |
Solution 3)
Rural Motors |
Aegean Motors |
Jerdon Auto |
|
Allocation of overheads using Machine hours |
13,992.00 |
2,09,880.00 |
94,128.00 |
Allocation of overheads using Department based manufacturing rates |
28,300.00 |
1,90,040.00 |
99,660.00 |
Aegean Motors is the customer who must be complaining about being overcharged in the simple system as it is being charged $2,09,880 against $1,90,040.
If the new system is adopted, Rural Motors and Jerdon Auto will be unhappy as they will be charged more. These customers should be made aware of the new system used in pricing and the advantages of the same as the customers are charged as the per activities conducted.
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