A system consists of two plants connected by a transmission line and a load that is located at plant 2. Data for the loss equation consists of the information that 100MW transmitted from plant 1 to the load results in a loss of 10MW. Determine the required economic generation for each plant and the power received by the load when incremental cost for the system is 6RM/MWh. Assume that the incremental fuel costs for plant 1 and plant 2 can be approximated by the following equations:

a. λ1=0.007P1+4.1RM/MWh
b. λ2=0.014P2+4.6RM/MWh