Question 2 10 pts For an infrastructure project, the capital investment is $8,950,637, the annual operation and maintenance cost is $716,508, the annual benefit is $2,340,318, and the salvage value is $1,830,757. If the project has a useful of 50 years, and the interest rate is 7% annually. What is the benefit-cost-ratio of this project (keep two decimal places)? 79 7% 1 2 3 4 5 Sinking Fund Factor Find A Glven F AF 1.0000 4831 .3111 2252 .1739 1398 .1156 0975 .0835 0724 0634 0559 0497 n 1 2 3 4 5 Single Payment Compound Present Amount Worth Factor Factor Find F Find P Given P Given F F/P P/F 1.070 .9346 1.145 8734 1.225 8163 1.311 .7629 1.403 .7130 1.501 .6663 1.606 .6227 1.718 5820 1.838 5439 1.967 SOR 2.105 .4751 2.252 4440 2410 4150 2.579 2.759 3624 2.952 3387 3.159 3166 3.380 2959 3.617 2765 3.870 2584 Compound Interest Factors Uniform Payment Series Capital Compound Recovery "Amount Factor Factor Find A Find F Given P Given A A/P FIA 1.0700 1.000 5531 2.070 3811 3.215 2952 4.440 2439 5.751 2098 7.153 1856 8.654 1675 10.260 1535 11.978 1424 13.816 .1334 15.784 .1259 17.888 .1197 20.141 1143 22.551 1098 25.129 1059 27.88 1024 30.840 0994 33.999 .0968 37.379 0944 40.996 6 7 8 9 10 Present Worth Factor Find P Given A P/A 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 9.108 9.447 9.763 10.059 10.336 10.594 Arithmetic Gradient Gradient Gradient Uniform Present Series Worth Find A Find P Given G Given G A/G P/G 0 0 0.483 0.873 0.955 2.506 1.416 4.795 1.865 7.647 2.303 10.978 2.730 14.715 3.147 18.789 3.552 23.140 3.946 27.716 4.330 32.467 4.703 *37.351 5.065 42330 5.417 47.372 5.758 52.446 6,090 57.327 6.411 62.592 6.722 67.622 7.024 72.599 7316 77.500 6 7 8 9 10 3878 0443 11 12 13 14 15 16 17 18 19 20 0398 0359 .0324 0294 0268 0244 11 12 13 14 15 16 17 18 19 20 5 1.11 1.865 6 7 8 9 10 7130 6663 .6227 .5820 5439 (083 6 7 8 9 10 .2439 2098 1856 1675 1535 .1424 1334 .1259 1197 .1143 1098 1059 .1024 MOMO94 .0968 0944 11 12 13 14 15 16 17 18 19 20 11 12 13 14 15 16 17 18 19 20 21 22 20 24 25 26 27 28 29 30 1.403 1.501 1.606 1.718 1.838 1.967 2.105 2.252 2.410 2.579 2.759 2.952 3.159 3.380 3.617 3.870 4.141 4.430 4.741 5.072 5.427 50 6.214 6.649 7.114 7.612 8.145 8.715 9.325 9.978 10.677 14.974 21.002 29.457 41.315 57.947 4751 4440 4150 3878 .3624 3387 .3166 .2959 2765 2584 .2415 .2257 .2109 .1971 .1842 .1722 .1609 1504 1406 21314 1228 .1147 .1072 .1002 .0937 .0668 0476 ,0339 .0242 20173 .1739 .1398 1156 .0975 0835 0724 .0634 ,0559 .0497 0443 0398 0359 0324 0294 .0268 .0244 0223 .0204 0187 .0172 0158 0146 .0134 .0124 .0114 .0106 .00980 .00907 .00841 .00780 00723 .00501 00350 .00246 .00174 00123 .0923 .0904 .0887 .0872 .0858 .0846 .0834 .0824 0814 .0806 0798 .0791 ,0784 .0778 ,0772 .0750 .0735 0725 .0717 .0712 5.751 7.153 8.654 10.260 11.978 13.816 15.784 17.888 20.141 22.551 25.129 27.888 30.840 33.999 37.379 40.996 44.865 49.006 53.436 58.177 63.249 68.677 74.484 80.698 87.347 94.461 102.073 110.218 118.934 128.259 138.237 199.636 285.750 406.530 575.930 813.523 4,100 4.767 5.389 5.971 6.515 7.024 7.499 7.943 8.358 8.745 9.108 9.447 9.763 10.059 10.336 10.594 10.836 11.061 11.272 11.469 11.654 11,826 11.987 12.137 12.278 12.409 12.532 12.647 12.754 12.854 12.948 13.332 13.606 13.801 13.940 14,039 2303 2.730 3.147 3.552 3.946 4.330 4.703 5.065 5.417 5.758 6.090 6,411 6.722 7.024 7.316 7.599 7.872 8.137 8.392 8.639 8,877 9.107 9.329 9.543 9.749 9.947 10.138 10.322 10.499 10.669 11.423 12.036 12.529 12.921 13.232 . 7.647 10.978 14.715 18.789 23.140 27.716 32.467 37.351 42.330 47.372 52.446 57.527 62.592 67.622 72.599 77.509 82.339 87.079 91.720 96.255 100.677 104.981 109.166 113.227 117.162 120.972 124.655 128.212 131.644 134.951 138.135 152.293 163.756 172.905 180.124 185.768 21 22 23 21 25 26 27 28 29 30 31 32 33 34 35 40 45 50 55 AIR 31 32 33 34 35 40 45 50 55 60