▼ Analyze the water distribution system presented in the figure below. Use the Gradient-Based Method to solve the problem. Compare your flows and pressures with the flows and pressures provided

by EPANET for the same system. Use the flow directions that are provided. Your initial guess of flows shall be based on a velocity of 4 ft/sec in each pipe. Your initial guess of heads shall be 1300 ft for each junction node. R-2 R-1 Figure 1 P-16 CEE 333 HW #2 P-15 J-8 P-13 J-5 P-7 J-1 P-14 Path R-1 to R-2 R-2 to R-3 Loop IV P-12 P-8 Water Resources Engineering Due: 2/07/2024 Loop I P-1 J-9 P-6 Į J-6 J-2 Loop VI 1 P-9 Loop II P-2 P-11 P-5 J-3 Pipes P-16, P-7, P-13, P-15 P-15, P-14, P-11, P-10 J-7 Not To Scale P-10 R-3 Loop III P-3 P-4 J-4 Pipe 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 Begin Node J-1 J-3 J-4 J-4 J-3 J-6 J-1 J-5 J-6 R-3 J-7 J-9 J-8 J-8 J-8 R-1 End Node J-2 J-2 J-3 J-7 J-7 J-2 J-5 J-6 J-7 J-7 J-9 J-6 J-5 J-9 R-2 J-1 Table 1 - Pipe Data Length (Ft) 1200 1500 1550 2750 1250 1325 1020 900 1060 500 3200 1250 1600 650 750 1200 2 Diameter (In) 16 12 6 6 12 8 10 8 8 12 8 8 10 8 10 24 C-Factor 120 120 120 120 120 120 120 120 120 120 120 120 120 120 120 120 Minor Loss (K₁) 0 0 3 0 0 0 0 0 5 0 0 0 0 0 0 10 Node R-1 J-1 J-2 J-3 J-4 J-5 J-6 J-7 J-8 J-9 R-2 R-3 Table 2 - Node Data Elevation (msl) 1380 1300 1325 1350 1330 1320 1350 1360 1340 1385 1430 1425 Pump Data Discharge (Gpm) 0 2,600 4,000 3 Head (Ft) 75 50 35 Demand (Gpm) N/A 0 700 330 150 180 120 0 220 175 N/A N/A