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Blue Spruce Pix currently uses a six-year-old molding machine to manufacture silver picture frames. The company paid $100,000 for the machine, which was state of
Blue Spruce Pix currently uses a six-year-old molding machine to manufacture silver picture frames. The company paid $100,000 for the machine, which was state of the art at the time of purchase. Although the machine will likely last another ten years, it will need a $10,000 overhaul in four years. More important, it does not provide enough capacity to meet customer demand. The company currently produces and sells 14,000 frames per year, generating a total contribution margin of $97,500. Martson Molders currently sells a molding machine that will allow Blue Spruce Pix to increase production and sales to 18,000 frames per year. The machine, which has a ten-year life, sells for $122,000 and would cost $10,000 per year to operate. Blue Spruce Pix's current machine costs only $8,000 per year to operate. If Blue Spruce Pix purchases the new machine, the old machine could be sold at its book value of $5,000. The new machine is expected to have a salvage value of $18,600 at the end of its ten-year life. Blue Spruce Pix uses straight-line depreciation. Click here to view the factor table. (a) Calculate the new machine's net present value assuming a 14% discount rate. (For calculation purp es, use 4 decimal places as displayed in the factor table provided and round final answer to 0 decimal place, e.g. 58,971.) Net present value $ e Textbook and Media Save for Later Attempts: 0 of 3 used Submit Answer (b) Use Excel or a similar spreadsheet application to calculate the new machine's internal rate of return. (Round answer to 2 decimal places, e.g. 1.25%.) Internal rate of return % e Textbook and Media Save for Later Attempts: 0 of 3 used Submit Answer (c) Calculate the new machine's payback period. (Round answer to 2 decimal places, e.g. 1.25.) Payback period years e Textbook and Media Save for Later Attempts: 0 of 3 used Submit Answer 4% 5% 6% 7% 8% 9% 10% 11% 12% 13% 14% 16% 18% 20% Periods 1 1 2 3 4 5 0.9615 0.9246 0.8890 0.8548 0.8219 0.9524 0.9070 0.8638 0.8227 0.7835 0.9434 0.8900 0.8396 0.7921 0.7473 0.9346 0.8734 0.8163 0.7629 0.9259 0.8573 0.7938 0.7350 0.6806 0.9174 0.9091 0.8417 0.8264 0.7722 0.7513 0.7084 0.6830 0.6499 0.6209 0.9009 0.8116 0.7312 0.6587 0.5935 0.8929 0.7972 0.7118 0.6355 0.5674 0.8850 0.8772 0.7831 0.7695 0.6931 0.6750 0.6133 0.5921 0.5428 0.5194 0.8621 0.7432 0.6407 0.5523 0.4761 0.8475 0.7182 0.6086 0.5158 0.4371 0.8333 0.6944 0.5787 0.4823 0.7130 0.4019 6 7 8 9 10 0.7903 0.7599 0.7307 0.7026 0.6756 0.7462 0.7107 0.6768 0.6446 0.6139 0.7050 0.6651 0.6274 0.5919 0.5584 0.6663 0.6227 0.5820 0.5439 0.5083 0.6302 0.5835 0.5403 0.5002 0.4632 0.5963 0.5645 0.5470 0.5132 0.5019 0.4665 0.4604 0.4241 0.4224 0.3855 0.5346 0.4817 0.4339 0.3909 0.3522 0.5066 0.4523 0.4039 0.3606 0.3220 0.4803 0.4251 0.3762 0.3329 0.2946 0.4556 0.3996 0.3506 0.3075 0.2697 0.4104 0.3538 0.3050 0.2630 0.2267 0.3704 0.3139 0.2660 0.2255 0.1911 0.3349 0.2791 0.2326 0.1938 0.1615 11 12 13 14 15 0.6496 0.6246 0.6006 0.5775 0.5553 0.5847 0.5568 0.5303 0.5051 0.4810 0.5268 0.4970 0.4688 0.4423 0.4173 0.4751 0.4440 0.4150 0.3878 0.3624 0.4289 0.3971 0.3677 0.3405 0.3152 0.3875 0.3555 0.3262 0.2992 0.2745 0.3505 0.3186 0.2897 0.2633 0.2394 0.3173 0.2858 0.2575 0.2320 0.2090 0.2875 0.2567 0.2292 0.2046 0.1827 0.2607 0.2307 0.2042 0.1807 0.1599 0.2366 0.1954 0.2076 0.1685 0.1821 0.1452 0.1597 0.1252 0.1401 0.1079 0.1619 0.1372 0.1163 0.0985 0.0835 0.1346 0.1122 0.0935 0.0779 0.0649 16 0.5339 0.4581 17 0.5134 0.4363 18 0.4936 0.4155 19 0.4746 0.3957 20 0.4564 0.3769 $1 PV = (1 + i)" 0.3936 0.3714 0.3503 0.3305 0.3118 0.3387 0.3166 0.2959 0.2765 0.2584 0.2919 0.2703 0.2502 0.2317 0.2145 0.2519 0.2311 0.2120 0.1945 0.1784 0.2176 0.1978 0.1799 0.1635 0.1486 0.1883 0.1696 0.1528 0.1377 0.1240 0.1631 0.1456 0.1300 0.1161 0.1037 0.1415 0.1229 0.1252 0.1078 0.1108 0.0946 0.0981 0.0829 0.0868 0.0728 0.0930 0.0802 0.0691 0.0596 0.0514 0.0708 0.0600 0.0508 0.0431 0.0365 0.0541 0.0451 0.0376 0.0313 0.0261 APPENDIX 9.2 Present value of an annuity of $1 per period. Periods 4% 6% 10% 16% 18% 20% 1 2 3 4 5 0.9615 1.8861 2.7751 3.6299 4.4518 5% 0.9524 1.8594 2.7232 3.5460 4.3295 0.9434 1.8334 2.6730 3.4651 4.2124 7% 8% 8 9% 0.9346 0.9259 0.9174 1.8080 1.7833 1.7591 2.6243 2.5771 2.5313 3.3872 3.3121 3.2397 4.1002 3.9927 3.8897 0.9091 1.7355 2.4868 3.1698 3.7907 11% 12% 0.9009 0.8929 1.7125 1.6901 2.4437 2.4018 3.1024 3.0373 3.6959 3.6048 13% 14% 0.8850 0.8772 1.6681 1.6467 2.3612 2.3216 2.9745 2.9137 3.5172 3.4331 0.8621 1.6052 2.2459 2.7982 3.2743 0.8475 1.5656 2.1743 2.6901 3.1272 0.8333 1.5278 2.1065 2.5887 2.9906 5.3893 6 7 8 9 10 5.2421 6.0021 6.7327 7.4353 8.1109 5.0757 5.7864 6.4632 7.1078 7.7217 4.9173 5.5824 6.2098 6.8017 7.3601 4.7665 4.6229 4.4859 5.2064 5.0330 5.9713 5.7466 5.5348 6.5152 6.2469 5.9952 7.0236 6.7101 6.4177 4.3553 4.8684 5.3349 5.7590 6.1446 4.2305 4.7122 5.1461 5.5370 5.8892 4.1114 4.5638 4.9676 5.3282 5.6502 3.9975 4.4226 4.7988 5.1317 5.4262 3.8887 4.2883 4.6389 4.9464 5.2161 3.6847 4.0386 4.3436 4.6065 4.8332 3.4976 3.8115 4.0776 4.3030 4.4941 3.3255 3.6046 3.8372 4.0310 4.1925 11 12 13 14 15 8.7605 9.3851 9.9856 10.5631 11.1184 8.3064 8.8633 9.3936 9.8986 10.3797 7.8869 8.3838 8.8527 9.2950 9.7122 7.4987 7.9427 8.3577 8.7455 9.1079 7.1390 6.8052 6.4951 7.5361 7.1607 6.8137 7.9038 7.4869 7.1034 8.2442 7.7862 7.3667 8.5595 8.0607 7.6061 6.2065 6.4924 6.7499 6.9819 7.1909 5.9377 6.1944 6.4235 6.6282 6.8109 5.6869 5.9176 6.1218 6.3025 6.4624 5.4527 5.6603 5.8424 6.0021 6.1422 5.0286 5.1971 5.3423 5.4675 5.5755 4.6560 4.7932 4.9095 5.0081 5.0916 4.3271 4.4392 4.5327 4.6106 4.6755 16 17 18 19 20 11.6523 10.8378 10.1059 9.4466 8.8514 8.3126 12.1657 11.2741 10.4773 9.7632 9.1216 8.5436 12.6593 11.6896 10.8276 10.0591 9.3719 8.7556 13.1339 12.0853 11.1581 10.3356 9.6036 8.9501 13.5903 12.4622 11.4699 11.4699 10.5940 9.8181 9.1285 1 $1 - (1+1)" 7.8237 8.0216 8.2014 8.3649 8.5136 7.3792 7.5488 7.7016 7.8393 7.9633 6.9740 7.1196 7.2497 7.3658 7.4694 6.6039 6.7291 6.8399 6.9380 7.0248 6.2651 6.3729 6.4674 6.5504 6.6231 5.6685 5.7487 5.8178 5.8775 5.9288 5.1624 5.2223 5.2732 5.3162 5.3527 4.7296 4.7746 4.8122 4.8435 4.8696 DITA
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