Final answer:
The total manufacturing cost for MedTech, Inc. during August was $10,074,000, and the cost per unit was $186.56. This was calculated using activity-based costing by adding overhead costs from materials handling, milling and grinding, assembly and inspection, and testing to the direct materials and labor costs.
Step-by-step explanation:
The question revolves around calculating the total manufacturing costs and the cost per unit for MedTech, Inc. using an activity-based costing system for the month of August. To calculate the total manufacturing costs, we first need to determine the overhead costs from the four activities and add them to the direct materials and labor costs. The cost per unit is then found by dividing the total manufacturing costs by the number of units produced and tested during the month.
First, calculate the activity-based overhead costs:
- Materials handling: 270,000 parts * $4.25 per part = $1,147,500
- Milling and grinding: 97,000 machine hours * $12.50 per hour = $1,212,500
- Assembly and inspection: 150,000 direct labor hours * $5.50 per hour = $825,000
- Testing: 54,000 units tested * $3.50 per unit = $189,000
Next, add the direct costs:
- Direct materials costs: $3,700,000
- Direct labor costs: 150,000 hours * $20 per hour = $3,000,000
Therefore, total manufacturing costs are:
$1,147,500 + $1,212,500 + $825,000 + $189,000 + $3,700,000 + $3,000,000 = $10,074,000
Finally, divide the total manufacturing costs by the number of units produced and tested to get the cost per unit:
Cost per unit = $10,074,000 / 54,000 units = $186.56 per unit