a. Develop mathematical model for-Y iteration scheme for short tem hydro-thermal problem. Also draw the flow chart. b. Given the following steam-plant and hydroplant characteristics: Steam plant: Incremental cost = 2.0 + 0.002P, R/MWh and 100 s P, s 500 MW Hydroplant: Incremental water rate 50 + 0.02P, ft/sec/MW 0s P S 500 MW Load Time Period Proad (MW) 1400-0900 350 0900-1800 700 350 1800-2400 Assume: The water input for PH = 0 may also be assumed to be zero, that is q(PH) = 0 for PH = 0 %3D Neglect losses. The thermal plant remains on-line for the 24-h period. Find the optimum schedule of P, and PH over the 24-h period that meets the restriction that the total water used is 1250 million ft of water; that is, 9TOT = 1.25 x 10 ft