ABC furniture company makes chairs and desks from two resources-labor and wood. The company has 90 hours of labor and 40 feet of wood available each day. Demand for chair is limited to 15 per day. Each chair requires 8 hours of labor and 3 feet of wood, whereas a desk requires 10 hours of labor and 6 feet of wood. The profit for each chair is $50 and for each desk is $70. The company wants to determine the number of chairs and desks to make in order to maximize profit. Formulate a linear programming model for this problem.