A furniture company manufactures desks and chairs. the sawing department cuts the lumber for both products,which is then sent to separate assembly department. assembled items are sent for finishing to the painting department. the daily capacity of the sawing department is 200 chairs or 80 desks. the chairs assembly department can produce 120 chairs daily and the desk assembly department 60 desks daily. The paint department has a daily capacity of either 150 chairs or 110 desks. Given that the profit er chair is $50 and that of a desk is $100, determine the optimal production mix for the company