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 (35.07 KiB) Viewed 32 times

A State Sponsored Forest Management Bureau Is Evaluating Alternative Routes For A New Road Into A Formerly Inaccessible 2 (19.08 KiB) Viewed 32 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 10% per year. Which route should be selected according to the B-C ratio method? Assume that a roadway must be constructed. Route A B C Construction Annual Maintenance Costs Cost $300,000 215,000 160,000 $4,300 3,300 1,900 Annual Savings in Annual Recreational Fire Damage $11,500 8,000 4,500 Benefit $5,500 7,000 3,500 Annual Timber Access Benefit $2,900 1,700 500

WNIN 1 2 456789 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 Present Factor Worth Factor To Find F Given P FIP 1.1000 1.2100 1.3310 1.4641 1.6105 1.7716 1.9487 2.1436 2.3579 2.5937 2.8531 3.1384 3.4523 3.7975 4.1772 4.5950 5.0545 5.5599 6.1159 6.7275 7.4002 8.1403 8.9543 9.8497 10.8347 17.4494 28.1024 45.2593 Discrete Compounding; i = 10% 72.8905 117.3909 To Find P Given F PIF 0.9091 0.8264 0.7513 0.6830 0.6209 0.5645 0.5132 0.4665 0.4241 0.3855 0.3505 0.3186 0.2897 0.2633 0.2394 0.2176 0.1978 0.1799 0.1635 0.1486 0.1351 0.1228 0.1117 0.1015 0.0923 0.0573 0.0356 0.0221 0.0137 0.0085 Compound Amount Factor To Find F Given A FIA 1.0000 2.1000 3.3100 4.6410 6.1051 7.7156 9.4872 11.4359 13.5795 15.9374 18.5312 21.3843 24.5227 27.9750 31.7725 35.9497 40.5447 45.5992 51.1591 57.2750 64.0025 71.4027 79.5430 88.4973 98.3471 164.4940 271.0244 442.5926 718.9048 1163.9085 Uniform Series Present Worth Factor To Find P Given A PIA 0.9091 1.7355 2.4869 3.1699 3.7908 4.3553 4.8684 5.3349 5.7590 6.1446 6.4951 6.8137 7.1034 7.3667 7.6061 7.8237 8.0216 8.2014 8.3649 8.5136 8.6487 8.7715 8.8832 8.9847 9.0770 9.4269 9.6442 9.7791 9.8628 9.9148 Sinking Fund Factor To Find A Given F AIF 1.0000 0.4762 0.3021 0.2155 0.1638 0.1296 0.1054 0.0874 0.0736 0.0627 0.0540 0.0468 0.0408 0.0357 0.0315 0.0278 0.0247 0.0219 0.0195 0.0175 0.0156 0.0140 0.0126 0.0113 0.0102 0.0061 0.0037 0.0023 0.0014 0.0009 Capital Recovery Factor To Find A Given P AIP 1.1000 0.5762 0.4021 0.3155 0.2638 0.2296 0.2054 0.1874 0.1736 0.1627 0.1540 0.1468 0.1408 0.1357 0.1315 0.1278 0.1247 0.1219 0.1195 0.1175 0.1156 0.1140 0.1126 0.1113 0.1102 0.1061 0.1037 0.1023 0.1014 0.1009

Perform the incremental B-C Analysis. Fill-in the table below. (Round to four decimal places.) Alternative Inc. B-C ratio From an incremental analysis, route is the "least objectionable" alternative. Is the alternative acceptable?