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Washington County's Board of Representatives is considering the construction of a longer runway at the county airport. Currently. the airport can handle only private aircraft

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Washington County's Board of Representatives is considering the construction of a longer runway at the county airport. Currently. the airport can handle only private aircraft and small commuterjets. A new, long runway would enable the airport to handle the midsize jets used on many domestic flights. Data pertinent to the board's decision appear below. Cost of acquiring additional land for runway $ 69,888 Cost of runway construction 238,888 Cost of extending perimeter fence 16,961Ir Cost ch runway lights 36,888 Annual cost of maintaining new runwayr 18,888 Annual incremental revenue from landing fees 35,888 In addition to the preceding data, two other facts are relevant to the decision. First, a longer runway will require a new snowplow, which will cost $140,000. The old snowplow could be sold now for $13,500. The new. larger plow will cost $10,000 more in annual operating costs. Second, the County Board of Representatives believes that the proposed long runway, and the majorjet service it will bring to the county, will increase economic activity in the community. The board projects that the increased economic activity will result in $92,000 per year in additional tax revenue for the county. In analyzing the runway proposal, the board has decided to use a 10year time horizon. The county's hurdle rate for capital projects is 20 percent. Use appendix A for your reference. {Use appropriate factorts] from the tables provided.) Determine the IRR on the proposed long runway. (Round your answer to the nearest whole percent.) :- \fFuture Value and Present Value Tables Table I Future Value of $1.00(1 + r)" Period 4% 6% 10% 12% 14% 20% 1 1.040 1.060 1.080 1.100 1.120 1.140 1.200 2 1.032 1.124 1.166 1.210 1.254 1.300 1.440 3 1.125 1.191 1.260 1.331 1.405 1.482 1.728 4 1.170 1.263 1.361 1.464 1.574 1.689 2.074 5 1.217 1.338 1.469 1.611 1.762 1.925 2.488 6 1.265 1.419 1.587 1.772 1.974 2.195 2.986 7 1.316 1.504 1.714 1.949 2.211 2.502 3.583 8 1.369 1.594 1.851 2.144 2.476 2.853 4.300 9 1.423 1.690 1.999 2.359 2.773 3.252 5.160 10 1.480 1.791 2.159 2.594 3.106 3.707 6.192 11 1.540 1.898 2.332 2.853 3.479 4.226 7.430 12 1.601 2.012 2.518 3.139 3.896 4.818 8.916 13 1.665 2.133 2.720 3.452 4.364 5.492 10.699 14 1.732 2.261 2.937 3.798 4.887 6.261 12.839 15 1.801 2.397 3.172 4.177 5.474 7.138 15.407 20 2.191 3.207 4.661 6.728 9.646 13.743 38.338 30 3.243 5.744 10.063 17.450 29.960 50.950 237.380 40 4.801 10.286 21.725 45.260 93.051 188.880 1,469.800Table II (1 + r)" - 1 Future Value of a Series of $1.00 Cash Flows (Ordinary Annuity) Period 4% 6% 10% 12% 14% 20% 1.000 1.000 1.000 1.000 1.000 1.000 1.000 2.040 2.060 2.080 2.100 2.120 2.140 2.220 3 3.122 3.184 3.246 3.310 3.374 3.440 3.640 4 4.247 4.375 4.506 4.641 4.779 4.921 5.368 5.416 5.637 5.867 6.105 6.353 6.610 7.442 6 6.633 6.975 7.336 7.716 8.115 8.536 9.930 7 7.898 8.394 8.923 9.487 10.089 10.730 12.916 9.214 9.898 10.637 11.436 12.300 13.233 16.499 10.583 11.491 12.488 13.580 14.776 16.085 20.799 10 12.006 13.181 14.487 15.938 17.549 19.337 25.959 11 13.486 14.972 16.646 18.531 20.655 23.045 32.150 12 15.026 16.870 18.977 21.385 24.133 27.271 39.580 13 16.627 18.882 21.495 24.523 28.029 32.039 48.497 14 18.292 21.015 24.215 27.976 32.393 37.581 59.196 15 20.024 23.276 27.152 31.773 37.280 43.842 72.035 20 29.778 36.778 45.762 57.276 75.052 91.025 186.690 30 56.085 79.058 113.283 164.496 241.330 356.790 1,181.900 40 95.026 154.762 259.057 442.597 767.090 1,342.000 7,343.900Table III 1 Present Value of $1.00 (1 + +) Period 4% 6% 8% 10% 12% 14% 16% 18% 20% 22% 24% 26% 28% 30% 32% .962 .943 .926 .909 .893 .877 .862 .847 .833 .820 .806 .794 .781 .769 .758 .925 .890 .857 .826 .797 .769 .743 .718 .694 .672 .650 .630 .610 .592 .574 3 .889 .840 .794 .751 .712 .675 .641 .609 .579 .551 .524 .500 .477 .455 .435 .855 .792 .735 .683 .636 .592 .552 .516 .482 .451 .423 .397 .373 .350 .329 .822 .747 .681 .621 .567 .519 .476 437 .402 .370 .341 .315 .291 .269 .250 6 790 .630 .564 .507 .456 .410 .370 .335 303 .275 .250 .227 .207 .189 7 .760 .665 .583 .513 .452 .400 .354 .314 .279 .249 .222 .198 .178 .159 .143 S .731 .627 .540 .467 .404 .351 .305 .266 .233 .204 .179 .157 .139 .123 .108 9 .703 .592 .500 .424 .361 .30S .263 .225 .194 .167 .144 .125 . 108 .094 .082 10 .676 .558 .463 .386 .322 .270 .227 .191 .162 .137 .116 .099 .085 .073 .062 11 .650 .527 .429 .350 .287 .237 .195 .162 .135 .112 .094 .079 .066 .056 .047 12 .625 497 .397 .319 .257 208 .168 .137 .112 092 076 .062 .052 .043 .036 13 .601 .469 .368 .290 .229 .182 .145 .116 .093 .075 .061 .050 .040 .033 .027 14 577 .442 .340 .263 .205 .160 .125 .099 .078 .062 .049 .039 .032 .025 .021 15 .555 .417 .315 .239 . 183 .140 .108 .084 .065 .051 .040 .031 .025 .020 .016 20 .456 .312 .215 .149 .104 .073 .051 .037 .026 .019 .014 .010 .007 .005 .004 30 .308 .174 .099 .057 .033 .020 .012 .007 .004 .003 .002 .001 .001 40 .208 .097 .046 .022 .011 .005 .003 .001 .001

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