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 | $3.11 | $10,885 | |
Direct labor | 3.34 | 11,690 | |
Variable overhead | 2.60 | 9,100 | |
Fixed overhead | 3.90 | 13,650 | |
Total | $12.95 | $45,325 |
A company has offered to supply this part to X Company for $12.22
per unit. If X Company accepts the offer, it will still incur fixed
costs of $7,508, but it will be able to lease the resources that
will become available from not making the part for $2,100. 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 | 3.11 | 10885 | ||
Direct labor | 3.34 | 11690 | ||
Variable overhead | 2.60 | 9100 | ||
Avoidable fixed overhead | 6142 | |||
Opportunity cost | 2100 | |||
Outside Purchase cost | 12.22 | 42770 | ||
Total cost | 9.05 | 12.22 | 39917 | 42770 |
Difference in cost = 39917-42770= $2853 | ||||
Decrease in production level = 2853/(12.22-9.05)= 900 | ||||
Indifferent production level = 3500-900 = 2600 | ||||
2,600 is correct answer |
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