Write down a linear programming problem whose solution solves the following. DO NOT SOLVE. Cliff & Co. Furniture Company produces chairs and desks. A chair sells for a profit of $3.00 while a desk generates a profit of $2.50. The manufacture of the furniture involves cutting and polishing. Cutting takes 5 minutes for a chair but only 2 minutes for a desk. Similarly, polishing uses 3 minutes for a chair, while a desk employs 7 minutes of polishing time. The company has at most 3 hours of cutting time and 5 hours of polishing time available. How many chairs and desks should the company produce with the resources available in order to maximize its total profit? {SET UP THE PROBLEM. DO NOT SOLVE} a) Define the variables. b) State the objective function. c) State all of the constraints