Two traffic signal systems are being considered for an intersection. One system costs $33,000 for installation and has an efficiency rating of 80%, requires 26 kW power (output), incurs a user cost of $0.23 per vehicle, and has a life of 11 years. A second system costs $43,000 to install, has an efficiency rating of 88%, requires 37 kW power (output), has a user cost of $0.21 per vehicle, and has a life of 18 years. Annual maintenance costs are $80 and $90, respectively. MARR = 8% per year. How many vehicles must use the intersection to justify the second system when electricity costs $0.08/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. Click the icon to view the interest and annuity table for discrete compounding when the MARR is 8% per year. More Info At least 359 vehicles per day must use the intersection to justify the second system. (Round up to the nearest whole number.) To Find F To Find P Given P Given F To Find F Given A To Find P Given A To Find A To Find A Given F Given P N FIP PIF FIA PIA A/F A/P 1 1.0800 0.9259 1.0000 0.9259 1.0000 1.0800 2 1.1664 0.8573 2.0800 1.7833 0.4808 0.5608 3 1.2597 0.7938 3.2464 2.5771 0.3080 0.3880 4 1.3605 0.7350 4.5061 3.3121 0.2219 0.3019 5 1.4693 0.6806 5.8666 3.9927 0.1705 0.2505 6 1.5869 0.6302 7.3359 4.6229 0.1363 0.2163 7 1.7138 0.5835 8.9228 5.2064 0.1121 0.1921 8 1.8509 0.5403 10.6366 5.7466 0.0940 0.1740 9 1.9990 0.5002 12.4876 6.2469 0.0801 0.1601 10 2.1589 0.4632 14.4866 6.7101 0.0690 0.1490 11 2.3316 0.4289 16.6455 7.1390 0.0601 0.1401 12 2.5182 0.3971 18.9771 7.5361 0.0527 0.1327 13 2.7196 0.3677 21.4953 7.9038 0.0465 0.1265 14 2.9372 0.3405 24.2149 8.2442 0.0413 0.1213 15 3.1722 0.3152 27.1521 8.5595 0.0368 0.1168 16 3.4259 0.2919 30.3243 8.8514 0.0330 0.1130 17 3.7000 0.2703 33.7502 9.1216 0.0296 0.1096 18 3.9960 0.2502 37.4502 9.3719 0.0267 0.1067 19 4.3157 0.2317 41.4463 9.6036 0.0241 0.1041 20 4.6610 0.2145 45.7620 9.8181 0.0219 0.1019 more help - X