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Two pumps A and B have the following characteristics. These pumps are arranged in series in a system with a static lift of (z_2-z_1, ) = 80 ft. The pipeline comprises 6-inch diameter pipe of 1200 ft length, with minor losses 20 times the velocity head. Determine: the operating point (i.e., the design discharge and design head) the heads and efficiencies at which individual pumps are operating, and the overall efficiency and input power. Take f = 0.022. Use the graph paper attached to plot the curves. (Lumped operating characteristics for pumps, 25 points). Take specific weight of water = 62.4 lb/ft^3, and 1hp = 550 ft- lb/s.