2.1. Assume that the fuel inputs in MBtu per hour for units 1 and 2, which are both on-line, are given by H, =8P, +0.024P- +80 H2 =6P, +0.04P- +120 where H. = fuel input to unit n in MBtu per hour ( millions of Btu per hour) P. = unit output in megawatts Assume the fuel price is 1$/MBtu. This problem demonstrates the complexity involved when we must commit (turn 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 off-line at the start. Also, assume that load starts at 50 MW and increases to 200 MW. The most economic schedule to supply this varying load will require committing one unit first, followed by commitment of the second unit when the load reaches a higher level. Determine which unit to commit first and at what load the remaining unit should be committed. Assume no "start-up" costs for either unit