Kunkel Company makes two products and uses a conventional costing system. A single plantwide predetermined overhead rate is computed based on direct labor-hours. Data for the two products for the upcoming year follow: MerconWurcon
Direct materials cost per unit$ 8.00$ 6.00
Direct labor cost per unit $ 10.00$ 11.00
Direct labor-hours per unit2.007.00
Number of units produced1,0002,000
These products are customized to some degree for specific customers.
Required:
1. The company's manufacturing overhead costs for the year are expected to be $1,200,000. Using the company's conventional costing system, compute the unit product costs for the two products.
2. Management is considering an activity-based costing system in which half of the overhead would continue to be allocated on the basis of direct labor-hours and half would be allocated on the basis of engineering design time. This time is expected to be distributed as follows during the upcoming year:
Mercon Wurcon Total
Engineering design time (in hours) 1,000 1,000 2,000
Compute the unit product cost for the two products using the proposed ABC system. (Do not round intermediate calculation. Round your final answers to 2 decimal places.)
Mercon Wurcon
Unit product cost

Results are below.

Explanation:

First, we need to calculate the predetermined overhead rate:

Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Total number of direct labor hours= (1,000*2) + (2,000*7)= 16,000

Predetermined manufacturing overhead rate= 1,200,000 / 16,000

Predetermined manufacturing overhead rate= $75 per direct labor hour

Now, we allocate overhead to each unit and calculate the unitary cost:

Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base

Mercon:

Allocated MOH= 75*2= $150

Unitary cost= 150 + 8 + 10= $168

Wurcon:

Allocated MOH= 75*7= $525

Unitary cost= 525 + 6 + 11= $542

Finally, using activity-based costing:

Mercon Wurcon Total

Engineering design time (in hours) 1,000 1,000 2,000

Direct labor-hours 2,000 14,000 16,000

Engineering= 600,000 / 2,000= $300 per design hour

Direct labor= 600,000 / 16,000= $37.5 per direct labor hour

Mercon:

Allocated MOH= 37.5*2 + 300*1= $375

Unitary cost= 375 + 8 + 10= $393

Wurcon:

Allocated MOH= 37.5*7 + 300*0.5= $412.5

Unitary cost= 412.5 + 6 + 11= $429.5

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