Please show all work without excel, I will rate thank you.

A city water and waste-water department has a four-year-old sludge pump that was initially purchased for $65,000. This pump can be kept in service for an additional four years, or it can be sold for $34,500 and replaced by a new pump. The purchase price of the replacement pump is $51,500. The projected MVs and operating and maintenance costs over the four-year planning horizon are shown in the table that follows. Assuming the MARR is 8%, (a) determine the economic life of the challenger and (b) determine when the defender should be replaced. Defender Year MV at EOY O&M Costs 1 $27,000 $19,500 2 23,000 21,500 3 19,000 23,500 4 15,000 25,500 Click the icon to view the interest and annuity table for discrete compounding when the MARR is 8% per year. Challenger MV at EOY O&M Costs $44,000 $13500 36,500 15,500 29.000 17,500 21,500 19,500 a. The economic life of the challenger is year(s). (Round to the nearest whole number.) b. The defender should be replaced More Info Discrete Compounding; i = 8% Single Payment Uniform Series Compound Compound Sinking Amount Present Amount Present Fund Factor Worth Factor Factor Worth Factor Factor To Find F To Find P To Find F To Find P To Find A Given P Given F Given A Given A Given F FIP PIF FIA PIA AIF 1.0800 0.9259 1.0000 0.9259 1.0000 1.1664 0.8573 2.0800 1.7833 0.4808 1.2597 0.7938 3.2464 2.5771 0.3080 1.3605 0.7350 4.5061 3.3121 0.2219 1.4693 0.6806 5.8666 3.9927 0.1705 N Capital Recovery Factor To Find A Given P AIP 1.0800 0.5608 0.3880 0.3019 0.2505 1 2 3 4 5 Print Done