Final answer:
The total manufacturing cost assigned to Job 700 is $856, which includes direct materials, direct labor, and overhead expenses. Dividing this total cost by the number of units (15) results in a unit product cost of $57.07 per unit.
Step-by-step explanation:
First, we'll calculate the overhead costs for both the Finishing and Fabrication departments using the predetermined overhead rates provided.
Finishing overhead = $18.00 per direct labor-hour
Fabrication overhead = 110% of direct materials cost
Direct labor hours for Finishing = $128/$16 per hour = 8 hours
Direct labor hours for Fabrication = $48/$16 per hour = 3 hours
Finishing department overhead = 8 hours * $18/hour = $144
Fabrication department overhead = 110% of $60 = $66
Total Manufacturing Cost for Job 700
Total direct materials = $410 (Finishing) + $60 (Fabrication) = $470
Total direct labor = $128 (Finishing) + $48 (Fabrication) = $176
Total overhead = $144 (Finishing) + $66 (Fabrication) = $210
Total manufacturing cost = Total direct materials + Total direct labor + Total overhead
Total manufacturing cost = $470 + $176 + $210 = $856
Unit Product Cost for Job 700
Unit product cost = Total manufacturing cost / Number of units
Unit product cost = $856 / 15 units = $57.07 per unit (rounded to two decimal places)