1) (25 points) Consider the following linear program: Max z = x + . 1 3x2 s.t. . 1 x2 0 . 1 a) (20 points) Solve the above linear program using the graphical method. b) (5 points) What is the optimal solution(s), if one exists, of the above linear program if the objective function is changed to z = x, + 2x2 ? (Use graphical method)