Final answer:
The total cost of each method of production would be $1,350. The firm should choose the method based on other factors such as ease of allocation and accuracy of cost allocation.
Step-by-step explanation:
To determine the total cost of each method of production, we need to multiply the cost of labor by the number of direct labor-hours required, and the cost of the machine by the number of machine-hours required.
For the first method, with direct labor-hours as the allocation base:
Total labor cost = Cost of labor per hour x Number of direct labor-hours = $40 x 15 = $600
Total machine cost = Cost of machine per hour x Number of machine-hours = $50 x 15 = $750
Total cost of production = Total labor cost + Total machine cost = $600 + $750 = $1,350
For the second method, with machine-hours as the allocation base:
Total labor cost = Cost of labor per hour x Number of direct labor-hours = $40 x 15 = $600
Total machine cost = Cost of machine per hour x Number of machine-hours = $50 x 15 = $750
Total cost of production = Total labor cost + Total machine cost = $600 + $750 = $1,350
Both methods result in the same total cost of production. The firm should choose the method based on other factors such as ease of allocation and accuracy of cost allocation.