Final answer:
To decide whether to manufacture or purchase an item, we compare the total in-house production cost of $3,600 with the external purchase cost of $4,000 for 1,000 units. Manufacturing the item in-house is more cost-effective than purchasing it.
Step-by-step explanation:
The student's question involves deciding whether to manufacture an item in-house or to purchase it from a local vendor based on cost estimates. To make a batch of 1,000 units, the direct labor and overhead costs must be calculated and compared with the cost of purchasing the item externally.
First, we calculate the in-house production costs:
- Direct labor cost: 120 hours × $10/hour = $1,200
- Overhead cost: 120 hours × $7.50/hour = $900
- Direct material cost: $1,500
- Total in-house production cost: $1,200 + $900 + $1,500 = $3,600
Next, we calculate the cost to purchase: $4/unit × 1,000 units = $4,000.
Since the in-house production cost ($3,600) is less than the purchase cost ($4,000), it is more cost-effective for the company to manufacture the item themselves.