Answer:
Instructions are below.
Step-by-step explanation:
Giving the following information:
Direct Labor-Hours:
Hubs= 0.6 per unit
Sprockets= 0.2 per unit
Production:
Hubs= 18,000 units
Sprockets= 55,000 units
Direct materials:
Hubs require $20
Sprockets require $18.
The direct labor wage rate is $13 per hour.
Activity cost pool (Activity measure) Overhead Cost Hubs Sprockets:
Machine set up ( Number of set ups) $72000 100 300 400
Special processing ( Machine hours) $200000 5000 0 5000
General factory (Direct labor hours) $816000 8000 16000 24000
First, we need to calculate the estimated overhead rate for each activity:
Estimated manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base
Machine set up= 72000/400= $180 per set up
Special processing= 200,000/5000= $40 per machine-hour
General factory= 816,000/24000= $34 per direct labor hour
To allocate overhead, we need to use the following formula:
Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base
Activity per unit:
Hubs:
Machine set up= 100/18,000= 0.0055
Special processing= 5,000/18,000= 0.28
General factory= 8,000/18,000= 0.44
Sprockets:
Machine set up= 300/55,000= 0.0055
General factory= 16,000/55,000= 0.291
Now, the cost per unit:
Hubs:
Direct material= 20
Direct labor= 0.6*13= 7.8
Allocated overhead= (180*0.0055) + (40*0.28) + (34*0.44)= 36.06
Cost per unit= $63.86
Sprockets:
Direct material= 18
Direct labor= 0.2*13= 2.6
Allocated overhead= (180*0.0055) + (34*0.291)= 10.88
Cost per unit= $31.48