Consider f, 91, 92, 93: R2 R and the following maximization problem max f(x, y) = x x,y subject to 91(x, y) = x-y 0, 92(x, y) =y-x 0, 93(x, y) = 1/2-x0. (a) Find all (x, y) on the constraint set that satisfies the nondegenerate constraint qualification: Dge(x, y) has rank |E|, where E is the set of constraints that are effective at (x, y). (b) Find all critical points of the Lagrangian (i.e., the points that satisfy the first-order conditions) that satisfy the complementary slackness condition on the constraint set. (c) Find a solution to this maximization