System is given below. Assume DC load flow with voltages at 1.0 pu. Write the Lagrangian for a minimum cost solution that adjoins all system constraints. Clearly show the complete Kuhn-Tucker conditions (KKT) required for the optimal solution. Show all these conditions but do not attempt to find a solution. 0 ≤ P1 ≤ 1.75 (pu); 0 ≤ P2 ≤ 1.0 (pu); load D = 1.5 (pu); line flow limit │l12│≤2.0 (pu); generator costs: C(P1) = 5 + 4 P1 + P12; C(P2) = 2 + 6 P2 + 2P22;