X Company is considering buying a part next year that they
currently make. This year's production costs for 3,000 units were
as follows:
Per-Unit | Total | ||
Direct materials | $3.99 | $11,970 | |
Direct labor | 3.08 | 9,240 | |
Variable overhead | 2.60 | 7,800 | |
Fixed overhead | 4.20 | 12,600 | |
Total | $13.87 | $41,610 |
A company has offered to supply this part to X Company for $12.92
per unit. If X Company accepts the offer, it will still incur fixed
costs of $6,678, but it will be able to lease the resources that
will become available from not making the part for $2,200. At what
production level would X Company be indifferent between making and
buying the part next year?
Per unit | Total 3000 units | |||
Make | Buy | Make | Buy | |
Direct materials | 3.99 | 11970 | ||
Direct labor | 3.08 | 9240 | ||
Variable overhead | 2.60 | 7800 | ||
Avoidable fixed overhead | 5922 | |||
Opportunity cost | 2200 | |||
Outside Purchase cost | 12.92 | 38760 | ||
Total cost | 9.67 | 12.92 | 37132 | 38760 |
Difference in cost = 38760-37132 = 1628 | ||||
Decrease in production level = 1628/(12.92-9.67)= 501 | ||||
Indifferent production level = 3000-501= 2499 | ||||
2499 is correct answer |
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