(6) UTM Alumni is planning to expand its present business activity. A total of 6 mutually exclusive alternatives (A-F) were proposed as shown in Table 3. Each alternative has 10 years life span. Using incremental analysis for mutually exclusive alternatives prove that the best choice is option E. Assume MARR = 10%. Table 3: Cash flow of six possible alternatives B D Year A E F 0 -900 -1500 -2500 -4000 -7000 -5000 1125 1 150 276 400 925 1425 2 150 276 400 925 1125 1425 150 276 400 925 1125 1425 4 150 276 400 925 1125 1425 5 150 276 400 925 1125 1425 6 150 400 925 1425 276 276 1125 1125 7 50 400 925 1425 150 276 400 925 1125 1425 8 9 150 276 400 925 1125 1425 10 150 276 400 925 1125 1425 PW 22 196 -42 1684 1913 1756 IRR 10.6 13.0 9.6 19.1 18.3 15.6 Show all calculation for incremental rate of return (AIRR) as well as the present worth (PW factor). Present your answer in tabulate form. 594 Compound Interest Factor Tables 986 1 3 4 18282 5 6 7 OCES OLISO 6105 PO MESS 9 30 11 12 13 14 15 16 17 19 20 21 22 23 24 25 26 TABLEIB scatola Stan umpan setia 99 Single Payments Uniform Series Payments Arithmetic Gradients Compound Present Sinking Compound Capital Present Gradient Gradient Amount Worth Fund Amount Recovery Worth Present Worth Uniform Series F/P P/F A/F F/A A/P P/A P/O A/G 10900 0974 100000 10000 1 on 0.9174 1.188 0.8417 0.47347 20900 0.56547 1.7991 08412 0.4785 12950 0.7722 030505 3.2781 0.39505 25313 23850 9426 14116 0.7084 021852 45731 10867 32797 45113 1.3925 1586 0.5499 016709 5940 025709 3.1897 7.1110 16771 0.5963 13293 7.5233 022293 4.45 10.0934 2.3498 1280 0.10869 9.2004 0.1989 133746 26574 1.996 0.0067 11025 0.18057 16.8877 30512 21719 007680 13.0210 0.16680 59952 20 5711 3.4312 006582 15. 1929 0.15582 64177 243728 3.7978 0.3879 005695 175603 OS 68052 28 3451 4.1510 28121 0.3555 004965 20.1007 0.135 32 1590 4.4910 30658 0.3262 0.04357 22.9534 17 74819 36 0731 3.411 0.2992 003843 26.0192 0.12543 7.7862 39.9633 5.1326 36425 0.2745 001406 29.09 012406 80007 5.4346 3.9703 0.2519 00300 33 0034 0 120 8.3125 475849 5.7245 0.2311 009705 36.9737 0,11205 8.54% 513821 4.7171 02120 003421 41013 0.11421 8.7556 5430 6.2007 5.1417 0.1945 002173 460185 0.11173 8.9501 58.3868 6.5236 5.6044 0.1784 0.01955 51 1601 1095 9.1285 61.7770 6.7674 6.10 0.1637 01762 56.7645 0.1063 9.2922 85 OSON 6.6586 0.1502 00190 62.8733 0.10590 9.4434 68 2048 72232 72579 0.1378 0.01438 695319 010438 9.5802 71.2359 74157 79111 0.1264 BOIMO 767898 0.10.02 9.7066 74.1433 76384 86231 0.1160 001181 0.10181 76.9265 9.3992 0.1064 0.01072 93 3340 10072 9.9290 795863 8.0156 10.2451 Qo976 0.00973 102.7231 09913 100266 82. 1241 1671 112.9682 COVERS 10 1161 34 5419 8.3571 12.1722 ODORO 0806 10.1983 368422 8.5154 13.2677 0.0754 0.007 136 3075 0.09734 102737 19020 86657 14 4618 0.0 1495752 O. 103428 91 1024 15.7633 0.0634 0.00610 1640370 0610 10.4062 93060 17.1820 0.0582 0.00556 1798000 0.09556 10.4644 9314 18.7284 0.0534 OBSON 1969833 009SOS 10.5178 6.6935 20.4140 0.000 0.00164 215.7108 009464 10 5600 983500 93083 314694 0.0318 0.009 3373834 10.7574 1053762 9.7957 48 3273 0.0207 0.00190 525 8387 009190 108812 110 5561 10.1603 74 3575 0.0134 8150836 000123 10.9617 114 3251 10.4295 114 4083 0.000 0.00079 20000 009019 11 00 1176362 10.6261 1760313 0.0057 0.00051 0.001 110480 270.8460 0.3037 0.00 0.000 110701 120344 10.3702 416.701 00024 0.00022 461922 009022 110844 121 2942 10427 6411 0.0016 0.00014 711323 0.00014 11 OR 10.40 986 5517 0.000 000009 10951 0.000 11 121.4306 151793 00007 000006 16855 OO9006 11.1638 132.7533 10551 233553 0.0004 000004 25939 0.0004 11.1064 122.9758 110726 359350 0.0003 0.00003 39917 0.09003 11 1080 123.1287 110847 3916.91 0.0003 0.00002 43510 0.0003 123.1920 465368 0.0002 000002 S16 0.00002 11.10 123.193 552904 0.0002 0.00002 61423 0.0002 11.109 123.2335 28 29 30 31 32 33 14 35 40 45 50 55 CROSS 96163 81106 09 10 1633 65 70 75 NO 85 90 95 COLI 98 100 006011 Compound Interest Factor Tables 595 100% 1 2 3 4 ONESTO $ 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 TABLE 3 groe case stuw. Deres baie Single Payments Uniform Series Payments Arithmetic Gradients Compound Present Sinking Compound Capital Present Gradient Gradient Amount Worth Fund Amount Recovery Worth Present Worth Uniform Series F/P P/F AF F/A A/P PIA P/G A/G 1.3000 09091 100000 1 BOBO L.10000 0.9091 1.2100 0.8264 0.47619 2.1000 057619 17355 08256 0.4763 13310 0.7513 0.30211 33100 0.40211 2.3291 09156 14641 0.6830 0.21547 45410 031547 3.1699 4371 13812 16105 06209 0.16380 3.7908 6 8618 1.8101 1.7716 0.5645 0.12961 7.7156 43553 96842 2 2236 1.94487 05132 0.10541 9.4872 020541 48684 12.7631 2.6216 2.1436 0.4665 0.08744 11.4359 0.18744 $329 160387 23579 04241 0.07364 13.5795 0.174 5.7590 19.4215 3.3724 2.5937 03855 0.06275 159374 0.16275 22.8913 3.7255 28531 0.3503 0.05196 18 5312 0.15796 6.4951 4.0661 3.1384 0.3186 004676 213843 0.14676 6.8137 29 9012 43834 3.4523 0.2897 004078 24 5227 0.14078 7.1034 33.3772 4 3.7975 0.2633 003575 27.9750 0.13575 36 SOOS 4.1772 0.2394 00314 31.7725 0.13147 76051 40 1520 5.2789 4.5950 0.2176 0.02782 359497 0.12752 78237 43 4164 55093 5.6545 0.1978 0.009466 0.12466 8.6216 46 5819 5.3071 S.5599 0.1799 0.02193 0.1219 8.2014 6.0526 6.1199 0.1635 0.01955 51.1991 0.11955 83649 52 507 6.7275 0146 001746 57 2750 0.11745 X512 55.4669 6 SOBI 74002 0.1351 001562 540005 0.1542 8.6487 58.1095 0.12 0.01401 714027 0.11401 3.7715 60.6893 0.1117 0.01257 79 5630 0.11257 9.8497 0.015 0.01130 38.4973 89847 7.2581 10.87 0.0923 0.01017 98 3071 211017 9.0720 6765 11 9182 0.0839 0.00916 1091818 0.10916 69.7940 13.1100 0.0763 0.00826 121 0999 0.10826 71.7773 7.7704 14 4210 0.0693 0.00745 13409 0.10745 966 73.6495 79137 15.8631 0.0630 000573 1486309 0.10673 9.3696 75.4146 8.0489 174694 0.0573 0.0008 164.4940 010608 77 0766 8176 19.1943 00521 0.00350 181 934 0.100 9.4790 786395 21.11 0.0474 0.00097 201 1378 0.10497 9.524 NO 1078 23 2252 00431 0.00450 222 2515 0.10450 8.5152 255077 0.0391 0.00407 245.4767 0.100 9.6086 82.773 8.6149 28.1024 0.0056 0.00369 271 0944 0.10.16 9.6442 83.9872 8.7085 00221 0.00226 0.10226 9.7791 88.9525 9.0962 72.8905 0.0137 00019 718 9048 0.10139 92.4544 9.3740 1173209 0.0085 0.00086 95704 189.0591 0.0053 0.00053 0.10053 9.9471 9.2015 3044816 0.0033 0.00033 903482 0.10033 7.7010 490 3701 0.0020 0.000 4893.71 0.10020 9.9796 984705 9.8672 789.7470 0.0013 0.00013 7887.47 0.10013 9.9873 989870 99113 127190 0.0008 0.00008 12709 0.1000S 9.9921 99 3317 9910 2048.40 0.0005 0.00005 0.1000 995606 3298.90 0.0003 OOOOOO 0.100 9.9970 9.97 3313.02 00002 000002 33120 0.10002 99 8118 9961 R5566 0.0001 000001 0.10001 9.9988 99 3773 9.9889 0.0001 0.0001 113 0.10001 9.9989 994 99890 0.0001 0.00001 010001 9.9991 99.9052 9.9914 0.0001 0.0000 0.1000 99.9202 9.9927 68169 SHOT OC 31 32 33 14 35 40 45 50 SS 60 65 70 75 80 85 90 95 96 98 100
