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 | $2.75 | $9,350 | |
| Direct labor | 4.03 | 13,702 | |
| Variable overhead | 3.90 | 13,260 | |
| Fixed overhead | 5.60 | 19,040 | |
| Total | $16.28 | $55,352 | |
A company has offered to supply this part to X Company for $14.05
per unit. If X Company accepts the offer, it will avoid fixed costs
of $9,520, and it will be able to lease the resources that will
become available from not making the part for $3,000. At what
production level would X Company be indifferent between making and
buying the part next year?
Let the indifferent point = x units
so,
Relevant Manufacturing cost = Purchase cost
(Variable cost + avoidable fixed cost + Opportunity cost ) = Purchase cost
{(2.75+4.03+3.90)*x} + 9520 + 3000 = 14.05*x
x = 3715 units
Production level on which X Company be indifferent between making and buying the part next year = 3715 units
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