Consider the problem minimize f(x) subject to , X T where f: R R is given by f(x) = 3x with x = [, ], and N = {x = [x,x] : x + x 2}. Answer each of the following questions, showing complete justification. a. Does the point x* = [2,0] satisfy the first-order necessary condition? b. Does the point x* = [2,0] satisfy the second-order necessary condition? c. Is the point x* = [2,0] a local minimizer?