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