Perform one iteration of the modified simplex algorithm to solve the following problem. Clearly provide the KKT conditions, show how you manipulate them to obtain the related linear programming formulation, and identify the additional complementarity constraints that are enforced by the algorithm. Show all your work. min f(x,x2) = 25x2 2x{ + 6x2 - - X X2 S.t. X1 + x2 = 7 X1 + 4x2 0 Perform one iteration of the modified simplex algorithm to solve the following problem. Clearly provide the KKT conditions, show how you manipulate them to obtain the related linear programming formulation, and identify the additional complementarity constraints that are enforced by the algorithm. Show all your work. min f(x,x2) = 25x2 2x{ + 6x2 - - X X2 S.t. X1 + x2 = 7 X1 + 4x2 0