Cross Roads Manufacturing currently uses a traditional costing system. The company allocates overhead to its two​ products, Zips and​ Dees, using a predetermined manufacturing overhead rate based on direct labor hours. Here is data related to the​ company's two​ products:

Zips Dees
Direct materials per unit $140.00 $100.00
Direct labor per unit $55.00 $50.00
Direct labor hours per unit 2.0 1.5
Annual production 25,000 40,000

Information about the company's estimated manufacturing overhead for the year follows:

Activities Activity measures Estimated overhead cost
Supervision and maintenance Direct labor hours $2,200,000
Batch costs Number of batches $212,500
Engineering changes Number of engineering hours $180,000
Total estimated manufacturing overhead for the year $2,592,500

Expected activity
Zips Dees Total
Supervision and maintenance 50,000 60,000 110,000
Batch costs 2,000 500 2,500
Engineering changes 1,800 1,200 3,000

The amount of manufacturing overhead that would be allocated to one unit of Zips using an activity-based costing system would be closest to:

a. $32.86.
b. $11.95.
c. $51.12.
d. $64.81.

Respuesta :

Answer:

c. $51.12.

Explanation:

Total activity cost of supervision and maintenance activity for Product Z.

Total activity cost = Activity based cost per unit  * Number of units on which activity is performed

= Activity based cost per direct labor hour  * Direct labor hours of Product Z

= $20 per direct labor hour * 50,000 hours

= $1,000,000

Total activity cost of batch costs activity for Product Z

Total activity cost = Activity based cost per unit  * Number of units on which activity is performed

= Activity based cost per batch * Number of batches of Product Z

= $85 per batch * 2,000 batches

= $170,000

Total activity cost of engineer changes activity for Product Z

Total activity cost = Activity based cost per unit * Number of units on which activity is performed

=Activity based cost per engineer hour  * Engineer hours of Product Z

= $60 per engineer hour×1,800 batches

= $108,000

Total overheads = Activity cost of supervision and maintenance  + Activity cost of batch cost + Activity cost of engineer changes

=$1,000,000 + $170,000 + $108,000

=$1,278,000

Overhead per unit=Total overheads  / Annual production​  

= $1,278,000/25,000 units  

= $51.12 per unit