Furnco manufactures desks and chairs. Each desk uses 4 units of wood, and each chair uses 3. A desk contributes $40 to profit, and a chair contributes $25. Marketing restrictions require that the number of chairs produced be at least twice the number of desks produced. 20 units of wood are available.

1- Formulate a linear program to maximize Furnco's profit.
2- Graphically solve the LP
3- Find the binding and nonbinding constraints for the optimal solution
4- What if there are 30 units of wood available? Repeat (2) and (3)