Final answer:
Calculating the total in-house production cost and comparing it to the purchase price from an outside supplier reveals that SP Corporation would have a financial disadvantage of $79,800 if it chose to produce the motors in-house.
Step-by-step explanation:
The student is asking for an analysis of whether SP Corporation should produce motors in-house or purchase them from an outside supplier. Given the cost breakdown provided, we need to determine the total cost of in-house production and compare it to the cost of purchasing the motors. The average cost per motor for in-house production is the sum of direct materials, direct labor, variable manufacturing overhead, and fixed manufacturing overhead, which are $10.10, $9.10, $3.75, and $4.70 respectively.
First, let's calculate the total in-house production cost:
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- Direct Materials: 42,000 motors × $10.10 = $424,200
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- Direct Labor: 42,000 motors × $9.10 = $382,200
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- Variable Manufacturing Overhead: 42,000 motors × $3.75 = $157,500
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- Fixed Manufacturing Overhead: 42,000 motors × $4.70 = $197,400
The total cost of in-house production is the sum of these amounts.
Total In-House Production Cost = $424,200 + $382,200 + $157,500 + $197,400 = $1,161,300
The cost to purchase the motors from an outside supplier is 42,000 motors × $25.75 per motor, which amounts to $1,081,500. Therefore, the difference between in-house production and purchasing is:
$1,161,300 (in-house) - $1,081,500 (purchase) = $79,800
SP Corporation has a financial disadvantage of $79,800 by choosing to produce the motors in-house rather than purchasing them.