Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Maximize p = x + 2y subject to x + 5y $ 21 4x+ y = 8 x20, y 20. P= (x, y) =Solve the LP probiem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Minimize c : x + 2y subject to x+ 31/222 4x+ y222 x2 0,y2 0' w >