Question
X Company is considering buying a part next year that they currently make. This year's per-unit production costs for 3,000 units were: Materials $2.94 Direct
X Company is considering buying a part next year that they currently make. This year's per-unit production costs for 3,000 units were:
Materials | $2.94 |
Direct labor [all variable] | 4.51 |
Variable overhead | 3.50 |
Fixed overhead | 3.50 |
Total production costs | $14.45 |
A company has offered to supply this part for $13.30 per unit. If X Company buys the part, $5,565 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 $2,200. Production next year is also expected to be 3,000 units. 2. If X Company buys the part instead of making it, it will save 3. At what production level would X Company be indifferent between making and buying the part?
4. X Company is considering buying a part next year that they currently produce. A company has offered to supply this part for $15.27 per unit. This year's total production costs for 55,000 units were:
Materials | $302,500 |
Direct labor [all variable] | 242,000 |
Total overhead | 247,500 |
Total production costs | $792,000 |
Of the total overhead costs, $60,500 were fixed, and $46,585 of these fixed overhead costs are unavoidable. If X Company buys the part, the resources that were used for production can be rented out for $80,000. Production next year is expected to increase to 58,350 units. If X Company continues to make the part instead of buying it, it will save....?
Present Value Tables (If needed)
Present Value of $1.00
Period | 3% | 4% | 5% | 6% | 7% | 8% | 9% | 10% | 11% | 12% |
---|---|---|---|---|---|---|---|---|---|---|
1 | 0.971 | 0.962 | 0.952 | 0.943 | 0.935 | 0.926 | 0.917 | 0.909 | 0.901 | 0.893 |
2 | 0.943 | 0.925 | 0.907 | 0.890 | 0.873 | 0.857 | 0.842 | 0.826 | 0.812 | 0.797 |
3 | 0.915 | 0.889 | 0.864 | 0.840 | 0.816 | 0.794 | 0.772 | 0.751 | 0.731 | 0.712 |
4 | 0.888 | 0.855 | 0.823 | 0.792 | 0.763 | 0.735 | 0.708 | 0.683 | 0.659 | 0.636 |
5 | 0.863 | 0.822 | 0.784 | 0.747 | 0.713 | 0.681 | 0.650 | 0.621 | 0.593 | 0.567 |
6 | 0.837 | 0.790 | 0.746 | 0.705 | 0.666 | 0.630 | 0.596 | 0.564 | 0.535 | 0.507 |
7 | 0.813 | 0.760 | 0.711 | 0.665 | 0.623 | 0.583 | 0.547 | 0.513 | 0.482 | 0.452 |
8 | 0.789 | 0.731 | 0.677 | 0.627 | 0.582 | 0.540 | 0.502 | 0.467 | 0.434 | 0.404 |
9 | 0.766 | 0.703 | 0.645 | 0.592 | 0.544 | 0.500 | 0.460 | 0.424 | 0.391 | 0.361 |
10 | 0.744 | 0.676 | 0.614 | 0.558 | 0.508 | 0.463 | 0.422 | 0.386 | 0.352 | 0.322 |
Present Value of an Annuity of $1.00
Period | 3% | 4% | 5% | 6% | 7% | 8% | 9% | 10% | 11% | 12% |
---|---|---|---|---|---|---|---|---|---|---|
1 | 0.971 | 0.962 | 0.952 | 0.943 | 0.935 | 0.926 | 0.917 | 0.909 | 0.901 | 0.893 |
2 | 1.913 | 1.886 | 1.859 | 1.833 | 1.808 | 1.783 | 1.759 | 1.736 | 1.713 | 1.690 |
3 | 2.829 | 2.775 | 2.723 | 2.673 | 2.624 | 2.577 | 2.531 | 2.487 | 2.444 | 2.402 |
4 | 3.717 | 3.630 | 3.546 | 3.465 | 3.387 | 3.312 | 3.240 | 3.170 | 3.102 | 3.037 |
5 | 4.580 | 4.452 | 4.329 | 4.212 | 4.100 | 3.993 | 3.890 | 3.791 | 3.696 | 3.605 |
6 | 5.417 | 5.242 | 5.076 | 4.917 | 4.767 | 4.623 | 4.486 | 4.355 | 4.231 | 4.111 |
7 | 6.230 | 6.002 | 5.786 | 5.582 | 5.389 | 5.206 | 5.033 | 4.868 | 4.712 | 4.564 |
8 | 7.020 | 6.733 | 6.463 | 6.210 | 5.971 | 5.747 | 5.535 | 5.335 | 5.146 | 4.968 |
9 | 7.786 | 7.435 | 7.108 | 6.802 | 6.515 | 6.247 | 5.995 | 5.759 | 5.537 | 5.328 |
10 | 8.530 | 8.111 | 7.722 | 7.360 | 7.024 | 6.710 | 6.418 | 6.145 | 5.889 | 5.650 |
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