Final answer:
The overapplied or underapplied manufacturing overhead for Dukes Corporation was $2,000 underapplied.
Step-by-step explanation:
The predetermined overhead rate for Dukes Corporation was $2 per direct labor-hour, based on an estimate of 20,000 direct labor-hours. However, the actual direct labor-hours worked during the year were 18,500. To calculate the overapplied or underapplied manufacturing overhead, we need to compare the actual costs incurred to the costs that were estimated.
- Estimated manufacturing overhead = Predetermined overhead rate x Estimated direct labor-hours = $2 x 20,000 = $40,000
- Actual manufacturing overhead = $38,000
Overapplied or underapplied manufacturing overhead = Actual manufacturing overhead - Estimated manufacturing overhead = $38,000 - $40,000 = -$2,000
Therefore, the correct answer is: $2,000 underapplied.
The overapplied or underapplied manufacturing overhead for the year was $1,000 underapplied. To determine this, first calculate the applied manufacturing overhead by multiplying the predetermined overhead rate by the actual direct labor-hours worked, which is $2 per direct labor-hour × 18,500 hours = $37,000. Then, compare this to the actual manufacturing overhead cost incurred, which is $38,000. The difference, $38,000 - $37,000, equals to $1,000 underapplied, which means that the actual overhead was higher than what was applied.