Gray Company uses a plantwide overhead rate with machine hours as the allocation base. Use the following information to solve for the amount of machine hours estimated per unit of product Q.

Direct material cost per unit of Q $18
Total estimated manufacturing overhead $103,000
Total cost per unit of Q $72
Total estimated machine hours 206,000 MH
Direct labor cost per unit of Q $36

a. 40 MH per unit of Q.
b. 0.50 MH per unit of Q.
c. 0.75 MH per unit of Q.
d. 14.00 MH per unit of Q.
e. 24 MH per unit of Q.

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facundobuzzetti facundobuzzetti · Answer 1 · 2021-04-17T02:19:17+02:00

Answer:

Machine hours per unit= 18 / 0.5= 36

Explanation:

First, we need to calculate the predetermined manufacturing overhead rate using the following formula:

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

Predetermined manufacturing overhead rate= 103,000 / 206,000

Predetermined manufacturing overhead rate= $0.5 per machine hour

Now, we need to determine the allocated overhead:

Unitary cost= direct material + direct labor + allocated overhead

72= 18 + 36 + allocated overhead

18= allocated overhead

Finally, the machine hours per unit:

Machine hours per unit= 18 / 0.5= 36