Water is pumped from a large reservoir through the distribution network shown in Fig. 2. The reservoir water surface is located at the same elevation as the distribution pipes which discharge to the atmosphere. A goal of this analysis is to compute the variation in ideal hydraulic pump head Hp (ft) with total flow capacity Q1 (gpm). Perform the following: 1. Derive the hydraulic model for this distribution network. You may ignore minor losses. For a total capacity of Q1 = 2000 gpm, solve the model for the required ideal hydraulic pump head Hp (ft) and the flow capacities Q2, Q3, Q4, Q5, and Q6 (gpm). Take L1 = L2 = L3 = L4 = L5 = L6 = 100 ft, D1 = D2 = D3 = D4 = D5 = D6 = 6 in, and e1 = e2 = e3 = e4 = e5 = e6 = 0.00085 ft which corresponds to cast iron pipes. Because the flow resistance is the same in Pipes 2 and 3, and in Pipes 5 and 6, these pipes should result in the same flow capacities for this case (i.e., Q2 = Q3 and Q5 = Q6). Therefore, this case represents a simple