Atoll bridge across the Mississippi River is being considered as a replacement for the current 1-40 bridge linking Tennessee to Arkansas. Because this bridge, if approved, will become a part of the U.S. Interstate Highway system, the B-C ratio method must be applied in the evaluation. Assume that the initial surfacing of the bridge is included in the initial investment costs of the structure. a. What is the capitalized worth of the bridge (for the new design)? b. Determine the B-C ratio of the bridge over an infinite time horizon (for the new design) Should the initidsandhen.desian selected2 N 1 2 3 4 5 6 7 Discrete Compounding; i = 9% Single Payment Uniform Series Compound Compound Sinking Amount Present Amount Present Fund Factor Worth Factor Factor Worth Factor Factor To Find F To Find P To Find F To Find P To Find A Given P Given F Given A Given A Given F FIP PIF FIA PIA AIF 1.0900 0.9174 1.0000 0.9174 1.0000 1.1881 0.8417 2.0900 1.7591 0.4785 1.2950 0.7722 3.2781 2.5313 0.3051 1.4116 0.7084 4.5731 3.2397 0.2187 1.5386 0.6499 5.9847 3.8897 0.1671 1.6771 0.5963 7.5233 4.4859 0.1329 1.8280 0.5470 9.2004 5.0330 0.1087 1.9926 0.5019 11.0285 5.5348 0.0907 2.1719 0.4604 13.0210 5.9952 0.0768 2.3674 0.4224 15.1929 6.4177 0.0658 2.5804 0.3875 17.5603 6.8052 0.0569 2.8127 0.3555 20.1407 7.1607 0.0497 3.0658 0.3262 22.9534 7.4869 0.0436 3.3417 0.2992 26.0192 7.7862 0.0384 3.6425 0.2745 29.3609 8.0607 0.0341 3.9703 0.2519 33.0034 8.3126 0.0303 13276 02311 36.9737 8.5436 0.0270 Capital Recovery Factor To Find A Given P AIP 1.0900 0.5685 0.3951 0.3087 0.2571 0.2229 0.1987 0.1807 0.1668 0.1558 0.1469 0.1397 0.1336 0.1284 0.1241 0.1203 0 1170 8 . 9 10 11 12 13 14 15 16 47 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 1.8280 1.9926 2.1719 2.3674 2.5804 2.8127 3.0658 3.3417 3.6425 3.9703 4.3276 4.7171 5.1417 5.6044 6.1088 6.6586 72579 7.9111 8.6231 13.2677 20.4140 31.4094 48.3273 74.3575 0.5470 0.5019 0.4604 0.4224 0.3875 0.3555 0.3262 0.2992 0.2745 0.2519 0.2311 0.2120 0.1945 0.1784 0.1637 0.1502 0.1378 0.1264 0.1160 0.0754 0.0490 0.0318 0.0207 0.0134 9.2004 11.0285 13.0210 15.1929 17.5603 20.1407 22.9534 26.0192 29.3609 33.0034 36.9737 41.3013 46.0185 51.1601 56.7645 62.8733 69.5319 76.7898 84.7009 136.3075 215.7108 337.8824 525,8587 815,0836 5.0330 5.5348 5.9952 6.4177 66.8052 7.1607 7.4869 7.7862 8.0607 8.3126 8.5436 8.7556 8.9501 9.1285 9.2922 9.4424 9.5802 9.7066 9,8226 10.2737 10.5668 10.7574 10.8812 10.9617 0.1087 0.0907 0.0768 0.0658 0.0569 0.0497 0.0436 0.0384 0.0341 0.0303 0.0270 0.0242 0.0217 0.0195 0.0176 0.0159 0.0144 0.0130 0.0118 0.0073 0.0046 0.0030 0.0019 0.0012 0.1987 0.1807 0.1668 0.1558 0.1469 0.1397 0.1336 0.1284 0.1241 0.1203 0.1170 0.1142 0.1117 0.1095 0.1076 0.1059 0.1044 0.1030 - 0.1018 0.0973 0.0946 0.0930 0.0919 0.0912 Atoll bridge across the Mississippi River is being considered as a replacement for the current 1-40 bridge linking Tennessee to Arkansas. Because this bridge, if approved, will become a part of the U.S. Interstate Highway system, the B-C ratio method must be applied in the evaluation. Assume that the initial surfacing of the bridge is included in the initial investment costs of the structure. a. What is the capitalized worth of the bridge (for the new design)? b. Determine the B-C ratio of the bridge over an infinite time horizon (for the new design) Should the initidsandhen.desian selected2 N 1 2 3 4 5 6 7 Discrete Compounding; i = 9% Single Payment Uniform Series Compound Compound Sinking Amount Present Amount Present Fund Factor Worth Factor Factor Worth Factor Factor To Find F To Find P To Find F To Find P To Find A Given P Given F Given A Given A Given F FIP PIF FIA PIA AIF 1.0900 0.9174 1.0000 0.9174 1.0000 1.1881 0.8417 2.0900 1.7591 0.4785 1.2950 0.7722 3.2781 2.5313 0.3051 1.4116 0.7084 4.5731 3.2397 0.2187 1.5386 0.6499 5.9847 3.8897 0.1671 1.6771 0.5963 7.5233 4.4859 0.1329 1.8280 0.5470 9.2004 5.0330 0.1087 1.9926 0.5019 11.0285 5.5348 0.0907 2.1719 0.4604 13.0210 5.9952 0.0768 2.3674 0.4224 15.1929 6.4177 0.0658 2.5804 0.3875 17.5603 6.8052 0.0569 2.8127 0.3555 20.1407 7.1607 0.0497 3.0658 0.3262 22.9534 7.4869 0.0436 3.3417 0.2992 26.0192 7.7862 0.0384 3.6425 0.2745 29.3609 8.0607 0.0341 3.9703 0.2519 33.0034 8.3126 0.0303 13276 02311 36.9737 8.5436 0.0270 Capital Recovery Factor To Find A Given P AIP 1.0900 0.5685 0.3951 0.3087 0.2571 0.2229 0.1987 0.1807 0.1668 0.1558 0.1469 0.1397 0.1336 0.1284 0.1241 0.1203 0 1170 8 . 9 10 11 12 13 14 15 16 47 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 1.8280 1.9926 2.1719 2.3674 2.5804 2.8127 3.0658 3.3417 3.6425 3.9703 4.3276 4.7171 5.1417 5.6044 6.1088 6.6586 72579 7.9111 8.6231 13.2677 20.4140 31.4094 48.3273 74.3575 0.5470 0.5019 0.4604 0.4224 0.3875 0.3555 0.3262 0.2992 0.2745 0.2519 0.2311 0.2120 0.1945 0.1784 0.1637 0.1502 0.1378 0.1264 0.1160 0.0754 0.0490 0.0318 0.0207 0.0134 9.2004 11.0285 13.0210 15.1929 17.5603 20.1407 22.9534 26.0192 29.3609 33.0034 36.9737 41.3013 46.0185 51.1601 56.7645 62.8733 69.5319 76.7898 84.7009 136.3075 215.7108 337.8824 525,8587 815,0836 5.0330 5.5348 5.9952 6.4177 66.8052 7.1607 7.4869 7.7862 8.0607 8.3126 8.5436 8.7556 8.9501 9.1285 9.2922 9.4424 9.5802 9.7066 9,8226 10.2737 10.5668 10.7574 10.8812 10.9617 0.1087 0.0907 0.0768 0.0658 0.0569 0.0497 0.0436 0.0384 0.0341 0.0303 0.0270 0.0242 0.0217 0.0195 0.0176 0.0159 0.0144 0.0130 0.0118 0.0073 0.0046 0.0030 0.0019 0.0012 0.1987 0.1807 0.1668 0.1558 0.1469 0.1397 0.1336 0.1284 0.1241 0.1203 0.1170 0.1142 0.1117 0.1095 0.1076 0.1059 0.1044 0.1030 - 0.1018 0.0973 0.0946 0.0930 0.0919 0.0912