S.L. Consider the following problem: max f(x) = 250x - 25x + 100x - 100x +90xx 20x + 5x 90 10x, +10x 60 x 20.x 20 a) (10 points) Derive the K-T conditions of the problem. b) (3 points) Determine that x = (1,3) is optimal or not by using the K-T conditions derived in part a c) (10 points) Find the optimal solution by using the K-T Conditions derived in part a. d) (12 points) Construct the initial simplex table of this quadratic problem by using the Wolfe Method and determine the first entering variable of the initial simplex table. (Do not solve the rest of the problem)