Q.3. (18 points) Use the tableau method to solve the Dakota Furniture Company prob- lem we discussed in the class (Please refer to the Powerpoint file titled Simplex Algorithm). But start the tableau method with X2, X3, S1, and s2 basic. Remem- ber: at the beginning of every iteration, you should have a canonical form. Then solve the problem using Excel and Lindo Solver. Don't forget to share your files. . Example: The Dakota Furniture Company manufactures desk, tables, and chairs. The manufacture of each type of furniture requires lumber and two types of skilled labor: finishing and carpentry. The amount of each resource needed to make each type of furniture is given in the table below. Resource Desk Table Chair Lumber 8 board ft 6 board ft 1 board ft Finishing hours 4 hours 2 hours 1.5 hours Carpentry hours 2 hours 1.5 hours 0.5 hours At present, 48 board feet of lumber, 20 finishing hours, 8 carpentry hours are available. A desk sells for $60, a table for $30, and a chair for $ 20. Dakota believes that demand for desks and chairs is unlimited, but at most 5 tables can be sold. Since the available resources have already been purchased, Dakota wants to maximize total revenue