A furniture company manufactures desks and chairs. The sawing department cuts the lumber for both products, which is then sent to separate assembly departments Assembled items arc sent for finishing to the painting department. The daily capacity of the sawing department is 200 chairs or 80 desks. The chair assembly department can oduce 120 cha daily and the desk assembly department 60 desks daily. The paint r chair is S50 and that of a desk is $100, determine the optimal production mix for the company.