X Company is considering buying a part next year that they
currently make. This year's production costs for 3,500 units were
as follows:
Per-Unit | Total | ||
Direct materials | $3.03 | $10,605 | |
Direct labor | 3.13 | 10,955 | |
Variable overhead | 4.20 | 14,700 | |
Fixed overhead | 5.50 | 19,250 | |
Total | $15.86 | $55,510 |
A company has offered to supply this part to X Company for $13.77
per unit. If X Company accepts the offer, it will still incur fixed
costs of $9,818, but it will be able to lease the resources that
will become available from not making the part for $2,800. At what
production level would X Company be indifferent between making and
buying the part next year?
Per unit | Total 3500 units | |||
Make | Buy | Make | Buy | |
Direct materials | 3.03 | 10605 | ||
Direct labor | 3.13 | 10955 | ||
Variable overhead | 4.20 | 14700 | ||
Avoidable fixed overhead | 9432 | |||
Opportunity cost | 2800 | |||
Outside Purchase cost | 13.77 | 48195 | ||
Total cost | 10.36 | 13.77 | 48492 | 48195 |
Difference in cost = 48492-48195 = 297 | ||||
Increase in production level = 297/(13.77-10.36)= 87 | ||||
Indifferent production level = 3500+87 = 3587 | ||||
3,587 is correct answer |
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