Problem 3: Crozet Cozy Chairs (CCC, Inc.) produces three kinds of hand crafted outdoor, ultra-lightweight, totally hip chairs: sling chairs, Adirondack chairs and hammocks. The unit profit for each of these products is $35.00, $75.00 and $100, respectively. Each type of chair requires cutting, assembly. and finishing time. The owner is retired, but she is willing to work 120 hours per month. She does not want to work more than 50 hours per month doing any one of the specific activities, cutting. assembly or finishing. These chairs are very popular in Crozet, so as usual she can sell all she makes. Sling chairs require 30 minutes for cutting, assembly requires 45 minutes, and finishing takes 1 hour. Adirondack chairs take 2 hours for both cutting and assembly and 1 hour for finishing. The very popular hammock model requires 24 minutes for cutting, 3 hours to assemble, and 1 hour to finish. How many of each chair should the owner make to maximize profit? (hint: sum the time to produce each chair type, use the values as coefficients for a constraint. Be careful with units... need all be the same)