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Problem 4 (10 points) The fuel cost functions in $/h for three thermal plants are given by C1 = 100+ 7.0 P1 +0.004 (P1)² C2 = 200+ 8.0 P2 +0.002 (P2)² C3 = 300+ 6.0 P2 +0.003 (P3)²2 a) Find an economic dispatch for PD = 1000 MW. What are P1, P2, and P3? b) What is the system incremental cost for above dispatch? c) What is the generation cost in $/h for each generator?

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