Consider the following problem: Maximize =51 152 Subject to: 1 32 9 (1,2)0 a. Construct the dual problem and find the optimal solution by inspection. (5 points) b. Use the complementary slackness property and the optimal solution for the dual problem to find the optimal solution for the primal problem. Show your work. (10 points) c. Suppose that c1 the coefficient of X1 in the primal objective function, actually can have any value in the model. For what values of c1 does the dual problem have no feasible solutions? For these values, what does duality theory then imply about the primal problem? (5 points)