A pump delivers water between two reservoirs, A to B, with total head HA = 50ft and HB 100ft, respectively. The 3ft diameter and 4.73mile long pipe connects the two reservoirs, with a suction side length of 1000 ft and CHW= 100. Neglect minor losses. = Derive the expression for the system head curve as a function of flow, water surface elevations and pipe characteristics. Plot the system curve, compute at least 5 points. Provide one sample calculation (not including zero flow). Clearly label the axes, include legend, and titles. You may use excel or any other software. Hand-drawn plots will not be accepted. Two candidate pumps are considered for this system. The pump head and efficiency curves are provided below. Note that the efficiency curve is identical for the two pumps. Find the shutoff head and the rated capacity for each pump. You decide to utilize both pumps (i.e., pump 1 and pump 2) to operate the system. Determine the pump combination that will allow you to operate the system and de- termine the operating point, i.e., H, Q, for your choice of pump combination. Support your answer, provide at least 5 points that represent the head curve for the pump com- bination. Create a new figure with the system curve and the new pump head curve, indicate the new operating point on the figure, and write down the values. Provide one sample calculation. Clearly label the axes, include legend, and titles. You may use excel or any other software. Hand-drawn plots will not be accepted. H [ft] 600 500 400 300 200 100 0 I 5 10 15 20 Q [cfs] 25 30 80% 60% 35 40