X Company is considering buying a part next year that they
currently make. This year's production costs for 3,100 units were
as follows:
Per-Unit | Total | ||
Direct materials | $2.74 | $8,494 | |
Direct labor | 3.07 | 9,517 | |
Variable overhead | 2.90 | 8,990 | |
Fixed overhead | 5.90 | 18,290 | |
Total | $14.61 | $45,291 |
A company has offered to supply this part to X Company for $12.08
per unit. If X Company accepts the offer, it will avoid fixed costs
of $9,694, and it will be able to lease the resources that will
become available from not making the part for $2,700. At what
production level would X Company be indifferent between making and
buying the part next year?
Per unit | Total 3100 units | |||
Make | Buy | Make | Buy | |
Direct materials | 2.74 | 8494 | ||
Direct labor | 3.07 | 9517 | ||
Variable overhead | 2.90 | 8990 | ||
Avoidable fixed overhead | 9694 | |||
Opportunity cost | 2700 | |||
Outside Purchase cost | 12.08 | 37448 | ||
Total cost | 8.71 | 12.08 | 39395 | 37448 |
Difference in cost = 39395-37448 = 1947 | ||||
Increase in production level = 1947/(12.08-8.71)= 578 | ||||
Indifferent production level = 3100+578 = 3678 | ||||
3678 is correct answer |
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