On January 1, 2021, X Company bought a machine for $44,000. It's now January 1, 2022, and management is disappointed that 2021 operating costs with the machine were $32,000. Since they are expecting future operating costs to continue to be $32,000 a year, they are considering replacing the machine with a new one. Although the new machine will cost $50,000, operating costs with the new machine will only be $24,000 each year. Both machines will last for 5 more years. The current machine can be sold immediately for $10,000 but will have no salvage value at the end of 5 years. The new machine will have a salvage value of $5,000 at the end of 5 years. Assuming a discount rate of 8%, what is the net present value of replacing the current machine with the new one? Table 1: Present Value of $1.00 N 0.961 5 Period 1% 1 0.990 2 0.980 3 0.971 4 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 2% 0.980 0.961 0.942 0.924 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 4% 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 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 0.505 6% 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 TUD 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 UU 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% 0.909 0.901 0.8930.885 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 0.683 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 0.313 0.482 0.452 0.4250.400 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 0.287 0.261 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 0.1810.160 0.141 TI 5 - UL U + - +