A Furniture factory produces tables, chairs, and desks. Each table needs 3 hours of carpentry, 1 hour of sanding, and 2 hours of staining, with a profit of $12.50. A chair needs 2 hours of carpentry, 4 hours of sanding, and 1 hour of staining, with a profit of $20. Desks need 1 hour of carpentry, 2 hours of sanding, and 3 hours of staining, with a profit of $16. There are 660 hours of carpentry, 740 hours of sanding, and 853 hours of staining available each week. The manager would like to make as much money as he can. A) construct the linear programming problem, including an objective function and all constraints. B) Build the initial simplex tableau.