2.1. Assume that the fuel inputs in MEtu per hour for units 1 and 2. which are both online. are given by M1 zap; +o.o2:11=;2 +ao M2 = HP. + 011-:le +12o where H. = fuel input to unit 11 in MBtu per hour {millions of Btu per hour] P 2 unit output in megawatts Assume the fuel price is 1$lMEltu. This problem demonstrates the complexity involved when we must commit {tum on} generating units. as well as dispatch them economically. This problem is known as the unit commitment problem. Given the two generating units. assume that they are both offline at the start. Also. assume that load starts at 50 MW and increases to EDD MW. The most economic schedule to supply this varying load will require committing one unit rst. followed by commitment of the second unit when the load reaches a higher level. Detem1ine which unit to commit rst and at what load the remaining unit should be committed. Assume no "start-up" costs for either unit