Given that the profit per chair is $50 and that of a desk is $100. Determine the optimal production mix for the company by: a. Formulating the problem, b. Graphically solving it.

CASE STUDY

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 are sent for finishing to the painting department. The daily capacity of the sawing department is 160 chairs or 80 desks. The chair assembly department can produce 100 chairs daily and the desk assembly department 50 desks daily. The paint department has a daily capacity of either 210 chairs or 140 desks.

Given that the profit per chair is $50 and that of a desk is $100. Determine the optimal production mix for the company by:
a. Formulating the problem
b. Graphically solving it