Final answer:
The unit product cost for the job is calculated by summing the direct materials, direct labor, and manufacturing overhead costs, and then dividing by the number of units produced. The total comes to $27.90 per unit.
Step-by-step explanation:
To compute the unit product cost that would appear on the job cost sheet for this job, we need to calculate the direct materials, direct labor, and manufacturing overhead costs and then combine these to find the total cost before dividing by the number of units produced.
The cost of direct materials is given as $63,900.
To calculate the cost of direct labor, we multiply the direct labor-hours by the direct labor wage rate:
- 1,233 DLHs × $15 per DLH = $18,495
The manufacturing overhead is applied based on a predetermined overhead rate multiplied by the actual direct labor-hours:
- 1,233 DLHs × $35 per DLH = $43,155
Now, we sum direct materials, direct labor, and manufacturing overhead to get the total job cost:
- $63,900 (Direct Materials) + $18,495 (Direct Labor) + $43,155 (Manufacturing Overhead) = $125,550 (Total Job Cost)
To find the unit cost, divide the total job cost by the number of units produced:
$125,550 / 4,500 units = $27.90 per unit (rounded to 2 decimal places)