In: Accounting
X Company is considering buying a part next year that it currently makes. This year's production costs for 3,200 units were:
Per Unit Total
| Direct Materials | 3.70 | 11,840 | 
| Direct Labor | 3.00 | 
 9,600  | 
| Variable overhead | 4.10 | 13,120 | 
| Fixed overhead | 3.10 | 9920 | 
| Total | 13.90 | 44,480 | 
A company has offered to supply this part for $14.68 per unit.
$4,662 of X Company's fixed overhead are allocated costs that will
occur even if they buy the part. But if X Company buys the part, it
can rent out the freed-up resources for $2,700. Production next
year is expected to be 3,500 units.
1. If X Company continues to make the part instead of buying it, it will save
2.At what production level would X Company be indifferent between making and buying the part?
Answer 1
Cost of making parts in-house:
| Direct Material | 3.70 | 
| Direct Labour | 3.00 | 
| Variable Overhead | 4.10 | 
| 10.80 | |
| Variable Cost for 3500 Units | 37,800 | 
| Fixed Cost | 9,920 | 
| Total Cost | 47,720 | 
Cost of buying the parts:
| Purchase Cost | 14.68 | 
| Purchase Cost for 3500 units | 51,380 | 
| Fixed Cost | 4,662 | 
| Rent for idle resources | (2,700) | 
| Total Cost | 53,342 | 
Thus, company X will save $ 5,662, if it continues making parts inside instead of buying the same.
Answer 2:
Production level where X Company will be indifferent between making and buying the part:
Additional Variable Cost of Buying from Outside= $3.88 per unit (14.68-10.80)
Savings in Fixed Cost if bought from Outside= $7,958(9920 - (4662-2700) = (9920-1962)
Thus, breakeven production level = $7958 / $3.88 = 2051.03 ~ 2051 units.
If annual requirement is more than 2051 units, company should produce parts in-house. However, if the annual requirement is less than 2051 units, it should purchase the same from outside market@ $14.68 per unit.