Answer:
Under/over applied overhead= $2,171,244 underallocated
Explanation:
Giving the following information:
The estimated total overhead= $11,485,000
Estimated machine hours= 176,000
Year to date, the actual overhead is $7,979,000 and the actual machine hours are 89,000 hours.
First, we need to calculate the predetermined manufacturing overhead rate:
Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base
Predetermined manufacturing overhead rate= 11,485,000/176,000
Predetermined manufacturing overhead rate= $65.25568 per machine-hour
Now, we can allocate overhead:
Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base
Allocated MOH= 65.25568*89,000= $5,807,756
Finally, we determine the under/over allocation:
Under/over applied overhead= real overhead - allocated overhead
Under/over applied overhead= 7,979,000 - 5,807,756= $2,171,244 underallocated