max 3.r + 22 +13 211 22 +373 54 - 11 + 12 0 Part a Give the dual of this problem. Part b Solve the primal problem by the simplex method, starting at the origin. Clearly indicate the optimal solution and the optimal objective value. Part c Given the primal optimal solution, use the complementary slackness conditions to com- pute the dual optimal solution. (You must show your steps on this part for credit.) Verify that your obtained dual solution is also feasible to the dual. Part d Show in your tableau where the optimal dual solution is that you computed in part a