Consider the optimization problem with the constraints min x + 4x + u X1, X2,U -3 x1 + x2 a 5 x+u8 1.5 x 6 -2u2 where the contraint on u is a hard constraint. a)Is this optimization problem feasible for a=5? Why? b)Is this optimization problem feasible for a=3? Why? c) If not in a) and/or b), what can be done to obtain an optimization problem that admits a solution? Establish the corresponsing updated formulation.