A pump is installed in a 500-m pipeline to raise 20°C water 25 m from a supply reservoir to an elevated tank. The pipe is ductile iron (= 0.02) with a diameter of 80 cm, and the design discharge is 2.5 m³/s. The pump is installed outside the supply reservoir Im below the water surface in the reservoir and has a cavitation parameter of 0.14. (a) Determine the maximum length of the suction line of the pump to avoid cavitation if minor losses are ignored. (b) If the entrance and screen losses on the suction side are given as 1.5 times the velocity head and minor losses on delivery side, two times the velocity head, what will be the maximum length of the suction line of the pump to avoid cavitation.