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 | $3.96 | $12,276 | |
Direct labor | 3.18 | 9,858 | |
Variable overhead | 4.20 | 13,020 | |
Fixed overhead | 3.90 | 12,090 | |
Total | $15.24 | $47,244 |
A company has offered to supply this part to X Company for $13.84
per unit. If X Company accepts the offer, it will avoid fixed costs
of $5,440, and it will be able to lease the resources that will
become available from not making the part for $2,700. Next year's
expected production level is 3,500 units.
12. At what production level would X Company be indifferent between making and buying the part next year?
Differential analysis | ||||||
Make | Buy | Effect on Income | ||||
Material cost | 13860 | 0 | 13860 | |||
Labour cost | 11130 | 0 | 11130 | |||
Variable overhead | 14700 | 0 | 14700 | |||
Fixed overheads | 12090 | 6650 | 5440 | |||
Opportunity cost-Lease rent | 2700 | 0 | 2700 | |||
Cost of purchase | 0 | 48440 | -48440 | |||
Total | 54480 | 55090 | -610 | |||
Net financial disadvantage of buying is ($610) | ||||||
Indifference producton level | ||||||
Avoidable fixed cost | 5440 | |||||
Opportunity cost | 2700 | |||||
Total fixed cost | 8140 | |||||
Divide: Difference in Variable cst per unit | ||||||
VC of buying | 13.84 | |||||
VC of making | 11.34 | 2.5 | ||||
(3.96+3.18+4.20) | ||||||
Indifference producton level | 3256 | |||||
Answer is 3256 units | ||||||
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