Problem 1: Using MATLAB, write a computer program to solve the economic dispatch problem (considering generator limits and transmission line losses) for a power system with three generating units. Use a convergence tolerance e of 0.001 MW. Your program must be based on the economic dispatch solution procedure presented in class. Please make sure that your program code is well documented. Attach a copy of your computer program. Note that you will have to use your program in order to solve Problem 2. Problem 2: Consider an electric power system with three generating units operating on economic dispatch. The fuel-cost functions of these units, as well as their corresponding feasible limits, are shown below: C (P) = 561 + 7.92P67 + 0.001562P $/hr 150 s P S 600 C(P) = 310 + 7.85P, +0.00194P $/hr 100 S P S 400 C(P) = 78 + 7.97Pc, + 0.00482P., $/hr 50 S P S 200 where Pa, Po,, and Po, are in MW. The loss coefficients for this system are given by: *0.003 0.000 0.000 B = 0.000 0.009 0.000 10-2 0.000 0.000 0.012 B. = [0.00 0.00 0.00) Boo 0.00