A three generating units operating in a thermal power plant. Total system demand to be committed is Pò= 950.00 MW, and total system losses is PL = 25.00 MW. The cost function in ($) for each unit is as follows: C_{1}=500+5.3 P_{1}+0.004 P_{1}^{2} C_{2}=400+5.5 P_{2}+0.006 P_{2}^{2} C_{3}=200+5.8 P_{3}+0.009 P_{3}^{2} Find and Plot the incremental cost function for each generating unit, the derivative, 2. Express Total Cost Function subject to Optimality Conditions. Express the Unconstrained Lagrange Total Cost Function. Find the optimal economic load dispatch, the cost of each generating unit and total system cost. The system incremental cost function, λ, and explain its meaning. Assume generating units have the following lower and upper limits: 200 \leq P_{1} \leq 450 150 \leq P_{2} \leq 350 100 \leq P_{3} \leq 225 Consider total system losses is given by: P₁=0.0185P₁+ .0130P₂ + 0.0123P3 Repeat all the steps (1) to (4) above. (This is instead of 25 MW loss in the problem statement).