5. A company makes two types of products, A and B. The profit made in selling these products is $40 and $10 per unit, respectively. Two departments of the company are involved in manufacturing these products. The number of hours required by each department to manufacture each product and the total number of hours each department is available for the job are shown in the table below. a) Set up the linear programming problem to maximize profit. b) Solve the linear programming problem graphically. Hint: To get an accurate graph, tear out a I inch strip from one of the pages of your test book and use it as a ruler. 6. Solve problem (5) using the simplex tableau method