X Company is thinking about expanding the production of Product X and eliminating Product Y. Expanding sales of X should result in additional firm profits of $8,000 per year for the next 6 years, but will require the purchase of some additional equipment, costing $19,000. This equipment should be worth $3,100 at the end of 6 years.
By eliminating Product Y, the firm will lose the product's $4,000 annual contribution margin but will save $11,000 of annual fixed costs.
Assuming a discount rate of 4%, what is the net present value of expanding the production of Product X and eliminating Product Y?
Moouu 2: TexTa SAMPLE PROBLEMS 113 Table 1: Present Value of $1.00 4% 6% UPHE 11 Period 1% 1 0.990 2 0.980 3 0.971 4 0.961 5 0.951 6 0.942 7 0.933 8 0.923 9 0.914 10 0.905 11 0.896 12 0.887 13 0.879 14 0.870 E 2% 0.980 0.961 0.942 1.924 0.906 0.888 0.871 0.853 0.837 0.820 0.804 0.788 0.773 0.758 3% 0.971 0.943 0.915 0.888 0.863 0.837 0.813 0.789 0.766 0.744 0.722 0.701 0.681 0.661 0.962 0.925 0.889 0.855 0.822 0.790 0.760 0.731 0.703 0.676 0.650 0.625 0.601 0.577 JULI 5% 0.952 0.907 0.864 0.823 0.784 0.746 0.711 0.677 0.645 0.614 0.585 0.557 0.530 0.sos 0.943 0.890 0.840 0.792 0.747 0.705 0.665 0.627 0.592 0.558 0.527 0.497 0.469 0.442 7% 0.935 0.873 0.816 0.763 0.713 0.666 0.623 0.582 0.544 0.508 0.475 0.444 0.415 0.388 8% 0.926 0.857 0.794 0.735 0.681 0.630 0.583 0.540 0.500 0.463 0.429 0.397 0.368 0.340 9% 0.917 0.842 0.772 0.708 0.650 0.596 0.547 0.502 0.460 0.422 0.388 0.356 0.326 0.299 10% 11% 12% 13% 14% 15% 0.9090.901 0.893 0.885 0.877 0.870 0.826 0.812 0.797 0.783 0.769 0.756 0.751 0.731 0.712 0.693 0.675 0.658 83 0.659 0.636 0.613 0.592 0.572 0.621 0.593 0.567 0.543 0.519 0.497 0.564 0.535 0.507 0.480 0.456 0.432 0.513 0.482 0.452 0.425 0.400 0.376 0.467 0.434 0.404 0.376 0.351 0.327 0.424 0.391 0.361 0.333 0.308 0.284 0.386 0.352 0.322 0.295 0.270 0.247 0.350 0.317 0.2870.261 0.237 0.215 0.319 0.286 0.257 0.231 0.208 0.187 0.290 0.258 0.229 0.204 0.182 0.163 0.263 0.232 0.205 0.181 0.160 0.141 L IIII ID 1 Table 2: Present Value of an Annuity of $1.00 Period 1 2 3 4 5 TUE 6 7 8 1% 0.990 1.970 2.941 3.902 4.853 5.795 6.728 7.652 8.566 9.471 10.368 11.255 12.134 13.004 2% 0.980 1.942 2.884 3.808 4.713 5.601 6.472 7.325 8.162 8.983 9.787 10.575 11.348 12.106 3% 0.971 1.913 2.829 3.717 4.580 5.417 6.230 7.020 7.786 8.530 9.253 9.954 10.635 11.296 0.962 1.886 2.775 3.630 4.452 5.242 6.002 6.733 7.435 8.111 8.760 9.385 9.986 10.563 5 0.952 1.859 2.723 3.546 4.329 5.076 5.786 6.463 7.108 7.722 8.306 8.863 9.394 9.899 0.943 1.833 2.673 3.465 4.212 4.917 5.582 6.210 6.802 7.360 7.887 8.384 8.853 9.295 7% 0.935 1.808 2.624 3.387 4.100 4.767 5.389 5.971 6.515 7.024 7.499 7.943 8.358 8.745 8% 0.926 1.783 2.577 3.312 3.993 4.623 5.206 5.747 6.247 6.710 7.139 7.536 7.904 8.244 9% 0.917 1.759 2.531 3.240 3.890 4.486 5.033 5.535 5.995 6.418 6.805 7.161 7.487 7.786 10% 11% 12% 13% 14% 15% 0.909 0.901 0.893 0.885 0.877 0.870 1.736 1.713 1.690 1.668 1.647 1.626 2.487 2.444 2.402 2.361 2.322 2.283 3.170 3.102 3.037 2.974 2.914 2.855 3.791 3.696 3.605 3.517 3.433 3.352 4.355 4.231 4.111 3.998 3.889 3.784 4.8684.712 4.564 4.423 4.288 4.160 5.335 5.146 4.968 4.799 4.6394.487 5.7595.537 5.3285.132 4.9464.772 6.145 5.889 5.650 5.426 5.216 5.019 6.495 6.207 5.9385,6875,4535.234 6.814 6.492 6.1945.918 5.660 5.421 7.103 6.750 6.4246.122 5.842 5.583 7.367 6.982 6.628 6.302 6.002 5.724 H 9 10 IND 1 12 13 14
