Final answer:
The predetermined overhead rate for Stuart manufacturing company is $51.50 per unit, calculated by totaling the individual overhead costs and dividing by the number of units. The cost for the 1,600 units produced in January, including direct materials, direct labor, and overhead, amounts to $284,000.
Step-by-step explanation:
The student asks for help in combining manufacturing overhead costs into a single cost pool and calculating a predetermined overhead rate, based on the expected production of units for Year 2. Additionally, the student needs to determine the cost of the 1,600 units produced in January, considering direct materials and direct labor, as well as indirect overhead costs.
Calculating the Predetermined Overhead Rate
To calculate the predetermined overhead rate, we first need to combine the individual overhead costs into one pool. The total overhead costs are:
Depreciation on equipment: $125,000
Rental fee on manufacturing facilities: $239,350
Summing these costs, we get a total overhead of $592,250. Since the predetermined overhead rate is based on the number of units, we divide the total overhead by the estimated production of 11,500 units for Year 2.
Predetermined overhead rate = Total Overhead / Estimated Production
Predetermined overhead rate = $592,250 / 11,500
Predetermined overhead rate = $51.50 per unit (rounded to two decimal places)
Direct labor cost = 1,600 units x $61 per unit = $97,600
Overhead cost = 1,600 units x $51.50 per unit = $82,400
Thus, the total cost for the 1,600 units produced in January is the sum of these costs:
Total Cost = Direct Materials + Direct Labor + Overhead
Total Cost = $104,000 + $97,600 + $82,400
Total Cost = $284,000