In: Accounting
X Company is considering buying a part next year that they currently make. This year's per-unit production costs for 3,500 units were:
| Materials | $3.81 | 
| Direct labor [all variable] | 4.06 | 
| Variable overhead | 3.40 | 
| Fixed overhead | 3.10 | 
| Total production costs | $14.37 | 
A company has offered to supply this part for $13.69 per unit. If X
Company buys the part, $6,184 of the fixed overhead can be avoided.
Also if X Company buys the part, it can use the freed-up resources
to increase production of another product, resulting in additional
contribution margin of $2,800. Production next year is also
expected to be 3,500 units.
2. If X Company buys the part instead of making it, it will
save
| Tries 0/3 | 
3. At what production level would X Company be indifferent between
making and buying the part?
2
If X Company buys the part instead of making it, it will save =$528.37
Working notes for the above answer:
| 
 make  | 
 Buy  | 
 Increase/  | 
|
| 
 Materials  | 
 13335  | 
 13335  | 
|
| 
 Direct labor [all variable]  | 
 14210  | 
 14210  | 
|
| 
 Variable overhead  | 
 11900  | 
 11900  | 
|
| 
 Fixed overhead  | 
 10850  | 
 4666  | 
 6184  | 
| 
 Total production costs  | 
 14.37  | 
 14.37  | 
|
| 
 Purchase price  | 
 47915  | 
 -47915  | 
|
| 
 Total Annual cost  | 
 50309.37  | 
 52581  | 
 -2271.63  | 
| 
 Less: opprtunity cost  | 
 -2800  | 
 2800  | 
|
| 
 Total cost  | 
 50309.37  | 
 49781  | 
 528.37  | 
3
At what production level would X Company be indifferent between making and buying the part?
Total cost of making = (3.81+4.06+3.40) xQ + 6184 + 2800
Total cost of buying = $13.69Q
The company will be irrelevant about buying or making the parts when,
Total cost of making = total cost of buying
(3.81+4.06+3.40) xQ + 6184 + 2800= 13.69 Q
11.27 Q+8984 =13.69Q
2.42Q=8984
Q=8984/2.42
Q=3712 units