Two traffic signal systems are being considered for an intersection. One system costs $34,000 for installation and has an efficiency rating of 76%, requires 29 kW power (output), incurs a user cost of $0.27 per vehicle, and has a life of 9 years. Asecond system costs $44,000 to install, has an efciency rating of 87%, requires 37 kW power (output), has a user cost of $0.21 per vehicle, and has a life of 14 years. Annual maintenance costs are $70 and $90, respectively. MARR = 12% per year. How many vehicles must use the intersection tojustify the second system when electricity costs $0.07/kWh? Assume salvage value for each system equals zero. Project the difference in the user cost as savings for the second system. There are approximately 8,760 hours/year. 5' Click the icon to view the interest and annuity table for discrete compounding when the MARR is 12% per year. E) At least vehicles per day must use the intersection to justify the second system. (Round up to the nearest whole number.) Discrete Compounding; i = 12% Single Payment Uniform Series Compound Compound Sinking Capital Amount Present Amount Present Fund Recovery Factor Worth Factor Factor Worth Factor Factor Factor To Find F To Find P To Find F To Find P To Find A To Find A Given P Given F Given A Given A Given F Given P N FIP PIF FIA PIA AIF AIP 1.1200 0.8929 1.0000 0.8929 1.0000 1.1200 1.2544 0.7972 2. 1200 1.6901 0.4717 0.5917 1.4049 0.7118 3.3744 2.4018 0.2963 0.4163 1.5735 0.6355 4.7793 3.0373 0.2092 0.3292 60 00 NO UA W N - 1.7623 0.5674 6.3528 3.6048 0. 1574 0.2774 1.9738 0.5066 8.1152 4.1114 0. 1232 0.2432 2.2107 0.4523 10.0890 4.5638 0.0991 0.2191 2.4760 0.4039 12.2997 4.9676 0.0813 0.2013 2.7731 0.3606 14.7757 5.3282 0.0677 0.1877 10 3.1058 0.3220 17.5487 5.6502 0.0570 0. 1770 11 3.4785 0.2875 20.6546 5.9377 0.0484 0. 1684 12 3.8960 0.2567 24.1331 6. 1944 0.0414 0. 1614 13 4.3635 0.2292 28.0291 6.4235 0.0357 0. 1557 14 4.8871 0.2046 32.3926 6.6282 0.0309 0. 1509 15 5.4736 0. 1827 37.2797 6.8109 0.0268 0. 1468 16 6.1304 0. 1631 42.7533 6.9740 0.0234 0.1434 17 6.8660 0. 1456 48.8837 7.1196 0.0205 0. 1405 18 7.6900 0.1300 55.7497 7.2497 0.0179 0. 1379 19 8.6128 0.1161 63.4397 7.3658 0.0158 0. 1358 20 9.6463 0. 1037 72.0524 7.4694 0.0139 0. 1339