A state-sponsored Forest Management Bureau is evaluating alternative routes for a new road into a formerly inaccessible

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A State Sponsored Forest Management Bureau Is Evaluating Alternative Routes For A New Road Into A Formerly Inaccessible 1 (46.01 KiB) Viewed 11 times

A State Sponsored Forest Management Bureau Is Evaluating Alternative Routes For A New Road Into A Formerly Inaccessible 2 (192.17 KiB) Viewed 11 times

A state-sponsored Forest Management Bureau is evaluating alternative routes for a new road into a formerly inaccessible region. Three mutually exclusive plans for routing the road provide different benefits, as indicated in table below. The roads are assumed to have an economic life of 45 years, and MARR is 9% per year. Which route should be selected according to the B-C ratio method? Assume that a roadway must be constructed. Route A B Construction Costs $295,000 230,000 180,000 с Click the icon to view the interest and annuity table for discrete compounding when the MARR is 9% per year. Perform the incremental B-C Analysis. Fill-in the table below. (Round to four decimal places.) Annual Maintenance Annual Savings in Cost Fire Damage $3,800 3,200 1,800 From an incremental analysis, route is the "least objectionable" alternative. Alternative ▼ C $12,000 6,500 4,000 Inc. B-C ratio Annual Recreational Benefit $5,500 6,500 3,000 Is the alternative acceptable? Annual Timber Access Benefit $2,800 1,400 500 0

N 1 2 3 4 5 698 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 35 40 45 50 Single Payment Compound Amount Factor To Find F Given P FIP 1.0900 1.1881 1.2950 1.4116 1.5386 1.6771 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 7.2579 7.9111 8.6231 Discrete Compounding; i = 9% Compound Amount Factor 13.2677 20.4140 31.4094 48.3273 74.3575 Present Worth Factor To Find P Given F PIF 0.9174 0.8417 0.7722 0.7084 0.6499 0.5963 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 To Find F Given A FIA 1.0000 2.0900 3.2781 4.5731 5.9847 7.5233 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 Uniform Series Present Worth Factor To Find P Given A PIA 0.9174 1.7591 2.5313 3.2397 3.8897 4.4859 5.0330 5.5348 5.9952 6.4177 6.8052 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 Sinking Fund Factor To Find A Given F AIF 1.0000 0.4785 0.3051 0.2187 0.1671 0.1329 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 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 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