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Oriole Inc. wants to purchase a new machine for $45,600, excluding $1,200 of installation costs. The old machine was purchased 5 years ago and had
Oriole Inc. wants to purchase a new machine for $45,600, excluding $1,200 of installation costs. The old machine was purchased 5 years ago and had an expected economic life of 10 vears with no calvame value The old machiric has a book value of $1,900, and Oriole inc. expects to sell it for that amount. The new machine will decrease operating costs by $10,000 each year of its economic life. The straight-line depreciation method will be used for the new machine for a o-vear period with no salvage value. Click here to view the factor table. (a) Determine the cash payback period. (Round cash poytack period to 2 decimal places es. 10.53) Cashowback period years (b) Ditermine the approximate internal rate of return. (Round answer to 0 decimol ploces, es. 13K. For calculation purposes, use 5 decimal? places as displowd in the factor table provided.) Internal rate of return Determine the apgroximate internal rate of return, (Round answer fo 0 decimal places, 53.13%. For calculation purposes, use 5 decimal places as disployed in the factor table provided.) Internal rate of return (c) Austiminit the convany has a required rate of return of 7 \%, determine whether the new machine should be purchased. The investrent be accepted. TABu: 1 future Value of 1 \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline (n) & & & & & & & & & & \\ \hline Periods & 4% & she & 65 & 7% & 85 & 9 . & 10% & 115 & 12% & 15% \\ \hline 0 & 1.00000 & 1.00000 & \( 1 \longdiv { 1 0 0 0 0 0 } \) & 1,00000 & 1.00000 & 1.00000 & 100000 & 100000 & 1.00000 & 1.00000 \\ \hline 1 & 1.04000 & 105000 & 1.06000 & & & 1.000 & 1. 10000 & & 1.12000 & \\ \hline 2 & 1.08160 & i.to250 & 1.12360 & & & 118 & & & & \\ \hline 3 & 1.12486 & 1.15765 & 1.19102 & 1.22504 & & 12 & & 3 & & \\ \hline 4 & 1.56066: & 121551 & 1.2624 & & & 14 & & & & \\ \hline 5 & 121005 & 1.27628 & 1.9323 & & 1. & 1.53862 & islosi & 1.65506 & 1.76234 & 36 \\ \hline 6 & 126532 & 1.3010 & 1.41852 & 1.30073 & 158697 & 1.67710 & 1.77156 & 187041 & 1.97562 & \\ \hline 7 & & 0 & & & & & & & & \\ \hline & 1.10457 & 1.47746 & IS & 1.7 & & & & 2. & & \\ \hline 4 & 1.42331 & 155133 & 1.6. & & 1.9 & 2.1 & & 2.55600 & & \\ \hline 10 & 1.4502 & 1+2889 & 170045 & 1.6715 & 2.15892 & 236 & & 92 & 3 tosis & 404556 \\ \hline 11 & 153945 & 1.7 & 1.898 & 2.10485 & 2.33164 & 2.56043 & 28 & 3.15176 & 347x & 4.05239 \\ \hline 12 & 60 & 174 & 201220 & & 1817 & & & & & \\ \hline 13 & 1.40500 & 1.03565 & 21329 & 2.40085 & 42 & 30 & 3 & 388 & 4.38 & \\ \hline 14 & 1.73168 & 1.92993 & 235000 & 257533 & 2937 & 31 & & 4,31044 & & 7.07571 \\ \hline is & 1.00004 & 207103 & 2.19056 & 2.75901 & & 304245 & 4.77 & 4.78459 & 5.47357 & \\ \hline 16 & 1.8729 & & 2.54035 & 2.05216 & 3.42504 & 3.97031 & 4.504 & 5,31050 & 6. 11039 & 0.35762 \\ \hline 1) & 1.9790 & 2.292 & 2.0927 & & 170002 & 4.3. & & 09 & & 10.76126 \\ \hline is & 2.02582 & 240062 & 414 & & & 4.717 & & & & 1237545 \\ \hline 19 & 210685 & 252405 & 300560 & 1653 & & 5.14166 & b 11591 & & & 142317 \\ \hline 20 & 219112 & 2.55330 & 120714 & 3.56908. & 4.60096 & 5x0441 & 6.72250 & & 9.64620 & If 36654 \\ \hline \end{tabular} TAHI 2 Future Value of an Anauity of 1 \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline \begin{tabular}{c} (n) \\ Paymenis \\ \end{tabular} & in & 5*6 & & 76 & 8% & 9% & 10% & 11% & 12% & 155 \\ \hline 1 & 1.00000 & 1,00000 & 1.00000 & 1.0000 & 1.00000 & 1,00000 & 1,00000 & 1.00000 & 1.00000 & 1.00000 \\ \hlinez & 204000 & 205000 & 200000 & 2.0700 & 2.05000 & 20,000 & 2.10000 & 2.11000 & 2.12000 & 2.15000 \\ \hline 3 & 312140 & 3.15350 & 3.15300 & 3.2140 & 324640 & 127810 & 331000 & $34210 & 33740 & 147250 \\ \hline 4 & 424646 & 431013 & 437402 & 4.4399 & 450611 & 457313 & 4.64100 & 4.79073 & 4.77933 & 499338 \\ \hline 5 & 341637 & 5.52563 & 5.63700 & 5.7502 & 5.6600 & 5.53571 & +10510 & 632780 & 6.35245 & 6.74238 \\ \hline 8 & 663298 & 680191 & 6.97532 & 7.1533 & 733592 & 752344 & 2.71561 & 791286 & 8.11519 & 8.75374 \\ \hline 7 & & 5:14201 & K.5934 & 5.0540 & K.922s0. & 920044 & 9.45717 & 97832? & 100 & If 00680 \\ \hline 8 & 921423 & 9.54911 & 9$9747 & 10.2598 & 1063661 & 11.02se? & 11.4359 & 11.45943 & & 652 \\ \hline 9 & 1058280 & 110264 & II. 49132 & 11.9750 & 5756 & 04 & 13.57 & 97 & 606 & 54 \\ \hline 10 & 1200611 & 1257789 & 13.15079: & 138164 & 14.4566 & 15.19293 & 15.95743 & 1672201 & 1754874 & 2050372 \\ \hline II & 1148635 & 1420679 & 14.97164 & 15.7 & 64540 & 17.56029 & 19. & 19 & 206 & 2434 \\ \hline 12 & -1502581 & 15.91713 & If 36994 & 17335 & 18.7713 & 20.14072 & 213842 & 22.71319 & 24.3313 & 29.00167 \\ \hline 11 & 16.62654 & 1721293 & 10x3214 & 201406 & & 2295339 & 245271 & 2+21164 & 28.02911 & 3435192 \\ \hline 14 & 18.29191 & 19.59463 & 2101502 & 225505 & 2421492 & 26.01919 & 27.97 tos & 3009692 & 3239260 & 4050471 \\ \hline is & 2003559 & 21.57456 & 23.27597 & 25.12%0 & 27.15211 & 29.4002 & 31.27245 & 34.40536 & 37.27972 & 4755041 \\ \hline 16 & 21.82453 & 21.65749 & 25.67253 & 273481 & 3032428 & 3300340 & 15.94973 & 39.18975 & 42,7532.8 & 35.71247 \\ \hline 17 & 23.69731 & 2584037 & 28.21283 & 30.8402 & 33.75023 & 36.97351 & 4054470 & 4+50044 & 48 & 65 \\ \hline is & 256454 & 2813218 & 3090565 & & 37.45024 & 41. olys & 45.59917 & $0.39593 & 55,74972 & 2583636 \\ \hline 19 & 27.67123 & 1053900 & 31.75999 & 37,5790 & 4t,44626 & 46.01846 & 51.15909 & 5693949 & 63.43968 & 4421181 \\ \hline 20 & 2477805 & 33 onces & 36.78559 & 40.9955 & 4576196 & 51.1eon & 5727500 & 64.20283 & 72.05244 & 1024435 \\ \hline \end{tabular} TAIII, 3 Prosent Value of 1 \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{11}{|l|}{ (ni) } \\ \hline Periods & 4% & 3x & & 7% & 85 & 9: & 10b & 115 & 12W & 150 \\ \hline 1 & 296154 & & 9490 & 0.458 & 52593 & 91743 & 5000 & .90000 & 89286 & \\ \hline 2 & .92456 & 90003 & 8000 & 0.87344 & 85734 & siles. & $2645 & si162 & & 75614 \\ \hline 3 & & 2034 & sin2 & 081630 & 29301 & ithis & 35132 & .73119 & 71176 & 65752 \\ \hline 4 & 15ino & N2270 & 79200 & 0.70250 & 73501 & Jasus & 84301 & 65873. & b355? & 57175 \\ \hline 5 & vis! & Tass & 76726 & 0.712% & scose. & AWP & 62002 & 5045 & seta1 & 49715 \\ \hline 6 & & 74a22 & 700% & abesy & b3017 & sin27 & ss4n & swe.4 & 50601 & A)213 \\ \hline 7 & & rions. & & 0.02275 & & 54703 & 51316 & Asiteo & t5035 & 17594. \\ \hline s & & sises. & 02741 & & 54027 & 40187 & 40651 & day93. & tosks & 32000 \\ \hline 9 & 7005 & and & 59100 & 0.459 & so025 & 46043 & 42410 & 3onn & 36061 & 2436 \\ \hline 10 & -77586 & farsi & & 050535 & 4519 & 4231 & 3454 & 35215 & 32197 & 34719 \\ \hline 11 & & Surat & & 0.47500 & 4238 & 3ns3 & 35047 & & & 2149 \\ \hline i2 & b2310 & sust & A9ein & 044001 & mil & & Mond & 2654 & & 18001 \\ \hline is & coosy & syon. & Acsui & & 16770 & 1261 & 29946 & 25751 & 22917 & 10253 \\ \hline 14 & smas & 50500 & 44280 & a wise & Joun & 29025 & 26133 & 23190 & 20462 & (1410) \\ \hline is & $5526 & Asio? & 4ln2 & o. 4015 & 31594 & mis & & 20000 & Im20 & l2no \\ \hline in & & AseI1 & wus & 031873 & 20164 & 25187 & 21763 & insty & tou12 & 100s? \\ \hline i7 & sivin & 4000 & 37186 & ajis? & rion & i & ions & & lases & \\ \hline is. & 49363 & 41552 & 3504 & arbics & 3 vess & His & itres & Istar & 104 & \\ \hline 19. & A7464 & 30373 & 3msi & o.27eis & 2317 & 1040 & 16us! & istea & 11611 & 07027 \\ \hline 80 & As 59 & Mrevo & 31160 & & 2145 & 1784 & 14864 & 1203 & 1047 & Onillo \\ \hline \end{tabular} TARIE 4 Fresent Value of an Annuity of 1 \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline (ni) & & & & & & & & & & \\ \hline Payments & 4x & 5\% & 6% & 75 & 8% & 9% & 10% & 11% & 12% & 15% \\ \hline 1 & 36154 & 95238 & 9430 & 0.9458 & 92593 & 9174 & 90009 & 90000 & 89286 & 86257 \\ \hline 2 & 18860 & 185041 & 1.s3uw & 120002 & 1.78026 & 1,75911 & 1.73554 & 1.71252 & 169005 & 1.62571 \\ \hline 3 & 277800 & 272325 & 267301 & 262432 & 257710 & 2.53130 & 243685 & 2.4471 & 2401513 & 228121 \\ \hline 4 & 362000 & 1.54505 & 3.46511 & 138721 & 331213 & 323972 & 3.16086 & 3.10245 & 303735 & 2.15403 \\ \hline 5 & 4A5182 & 43298 & 421236 & 410090 & 1.99271 & 188955 & 1.79079 & 360590 & 3.60478 & 115216 \\ \hline 6 & 524214 & 507569 & 4,917x & 476654 & 4.6228 & 44592 & 4.15576 & 423054 & 4.11141 & 17344 \\ \hline 7 & 000205 & 578617 & 550248 & 5.38920 & 320037 & soexos & 48042 & 471220 & 4.56376 & 4.16042 \\ \hline il & 673274 & 646121 & 0.20m9 & 5.97130 & & 55442 & 33401 & 5.14612 & 496764 & 445712 \\ \hline 4 & 7.42533 & 7.1076 & 6.0100 & 0.51523 & 624690 & 590525 & 5.75902 & 553705 & 532525 & 477158 \\ \hline 10 & 111000 & 72217 & 7 yoon & 7,02358 & 6.7Ion & 641766 & 0.14157 & & 56502 & 50137 \\ \hline II & s.7eous & 8.0641 & 7 ses7 & & 7.13No6 & 6sos19 & atosion & 6.20062 & 503720 & 5.21371 \\ \hline 12 & gisson & Nraves & i. k3a4 & & 753cos & 3.1007x & 61360 & 6.49216 & 6.417 & 5+2002 \\ \hline is & 9 Gisos & 9.10057 & & A.15765. & 7003 & 7 Asvo & 2.1006 & 67497 & calss & \\ \hline 14 & tosein & & 0 avan & 1874547 & 12484 & 7.75015 & junes & 69s1s? & 6+2817 & 5.72446 \\ \hline is & inikwo & 103796 & 9,71221 & 9.0691 & Asso4s & sovow9 & 7 nower: & 7.15007 & billows & 5.40737 \\ \hline 16 & 11.65290 & 10xmm & 10.10590 & 94466 & Hasis? & 831256 & 722371 & 737916 & 0.97% & 5,9524 \\ \hline 17 & 121050% & 11.27607 & 1047726 & 876122 & 9.12164 & 85abi & xouss & rusky & 7.1003 & boivis \\ \hline in & 12.65000 & 11 eovsy & loxpino & 100seco & 937149 & 0.75563 & 12014 & 2.7016 & 724007 & 61279 \\ \hline 19 & 1313y+4 & 1200532 & 11.15812 & 10.33560 & 9,0160 & 805012 & 8.36492 & 7090 & 730578 & alose3 \\ \hline 20 & 1350033 & 12.4621 & 11.4002 & 10.52401 & 231815 & 0.1255 & nsius & 2,96133 & 7 Amo4 & b.25941 \\ \hline \end{tabular}
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