Final answer:
The total cost of Job A2 is calculated by adding the prime costs ($57,000) to the applied factory overhead ($18,000), resulting in a total of $75,000. Rounding to the nearest thousand, the closest correct answer is $76,000.
Step-by-step explanation:
To calculate the cost of Job A2 for the Mannitou Company, we will first determine the factory overhead rate based on direct labor hours and then apply this rate to the direct labor hours used for Job A2. The company's estimated factory overhead costs are $300,000, and the total direct labor hours are projected to be 50,000 hours. Therefore, the factory overhead rate per direct labor hour is calculated as follows:
Factory Overhead Rate = Total Factory Overhead / Total Direct Labor Hours = $300,000 / 50,000 hours = $6 per direct labor hour
Since Job A2 used 3,000 direct labor hours, the factory overhead applied to Job A2 is 3,000 hours × $6 per hour = $18,000. The prime costs (direct materials plus direct labor) for Job A2 are already provided at $57,000. Hence, the total cost of Job A2, including both prime costs and factory overhead, is $57,000 + $18,000 = $75,000.
However, since the options provided do not include $75,000, rounding up to the nearest thousand, the closest option and therefore the correct answer would be $76,000 (Option 3).