Please solve it in detail & explain !

PROBLEM 3 13.7-4 (a) and (e) only 13.7-4. Consider the following quadratic programming problem: Maximize f(x) = 2x1 + 3x2 xi xz, subject to x1 + x2 = 2 and x 20 x2 > 0. (a) Use the KKT conditions to derive an optimal solution directly. (b) Now suppose that this problem is to be solved by the modified simplex method. Formulate the linear programming problem that is to be addressed explicitly, and then identify the additional complementarity constraint that is enforced auto- matically by the algorithm. (c) Without applying the modified simplex method, show that the solution derived in part (a) is indeed optimal (Z = 0) for the equivalent problem formulated in part (b). I (d) Apply the modified simplex method to the problem as for- mulated in part (b). C (e) Use the computer to solve the quadratic programming problem directly