X Company is considering buying a part next year that they
currently make. This year's production costs for 3,400 units were
as follows:
Per-Unit | Total | ||
Direct materials | $2.79 | $9,486 | |
Direct labor | 3.19 | 10,846 | |
Variable overhead | 3.30 | 11,220 | |
Fixed overhead | 5.20 | 17,680 | |
Total | $14.48 | $49,232 |
A company has offered to supply this part to X Company for $12.66
per unit. If X Company accepts the offer, it will avoid fixed costs
of $9,724, and it will be able to lease the resources that will
become available from not making the part for $2,000. At what
production level would X Company be indifferent between making and
buying the part next year?
Per unit | Total 3400 units | |||
Make | Buy | Make | Buy | |
Direct materials | 2.79 | 9486 | ||
Direct labor | 3.19 | 10846 | ||
Variable overhead | 3.30 | 11220 | ||
Avoidable fixed overhead | 9724 | |||
Opportunity cost | 2000 | |||
Outside Purchase cost | 12.66 | 43044 | ||
Total cost | 9.28 | 12.66 | 43276 | 43044 |
Difference in cost = 43276-43044= 232 | ||||
Increase in production level = 232/(12.66-9.28)= 69 | ||||
Indifferent production level = 3400+69 = 3469 | ||||
3,469 is correct answer |
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