X Company is considering buying a part in 2020 that it has been making for the past several years. A company has offered to supply this part for $15.93 per unit. Budgeted production in 2020 is 54,000 units, and budgeted per-unit production costs are: Materials $5.90 Direct labor [all variable] 5.70 Total overhead 4.40 Total $16.00 $102,600 of X Company's total overhead costs are fixed; $73,872 of the $102,600 are unavoidable even if it buys the part. Also, if X Company buys the part, it can rent the equipment that was used to make the part to another company for $80,000.
If X Company buys the part instead of making it, it will save
At what production level would X company be indifferent between making and buying the part?
a) Differential analysis
Make | Buy | |
Direct material | 318600 | |
Direct labor | 307800 | |
Variable overhead | 135000 | |
Fixed overhead | 28728 | |
Opportunity Cost | 80000 | |
Purchase cost | 860220 | |
Total relevant cost | 870128 | 860220 |
it will save = 870128-860220 = 9908
b) Indifferent point
Manufacturing cost = Purchase cost
14.10X+108728 = 15.93
-1.83X = 108728
X(Unit) = 59414 Units
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