a) The fuel-cost functions of two 800 MW thermal plants in $/h are given by: f=400 +6.0P+0.004(P) f=500+BP +y(P) where P and P are in MW.Find: i. If incremental cost is 8$/MWh when the total power demand is 550 MW. Neglecting losses, determine the optimal generation of each plant. (3 m) ii. If incremental cost is 10S/MWh when the total power demand is 1300 MW. Neglecting losses, determine the optimal generation of each plant. (2m) iii. From the results of (a) and (b) find the fuel-cost coefficients and y of the second plant. (5m) b) The fuel-cost functions in $/h for three thermal plants are given by: C1-350 +7.20P+0.0040(P) (15 marks) C2-500+ 7.30P+0.0025 (P) C3=600 +6.74P,+0.0030(P) Where: P, P2, and P, are in MW. The governors are set such that generators share the load equally. Neglecting line losses and generator limits, find the total cost in S/h when the total load is Po 745 MW (5m.) M