To determine whether production overhead is under-recovered or over-recovered, we can calculate the predetermined overhead rate (POHR) and compare it to the actual overhead costs incurred.
The predetermined overhead rate is calculated as follows:
POHR = Budgeted Production Overhead / Budgeted Machine Hours
POHR = $180,000 / 50,000 machine hours = $3.60 per machine hour
Now, we can calculate the overhead cost that should have been applied based on the actual machine hours worked:
Overhead Applied = POHR x Actual Machine Hours
Overhead Applied = $3.60 per machine hour x 48,260 machine hours = $174,096
Now, let’s calculate the under-recovery or over-recovery:
Actual Production Overhead – Overhead Applied
= $178,080 – $174,096
= $3,984
Since the actual production overhead of $178,080 is greater than the overhead applied of $174,096, the production overhead is over-recovered by $3,984.