Jim Jones manufacturer’s inexpensive set-it-up-yourself furniture for students. He currently makes two products- bookcase and tables. Each bookcases and contributes $6 and each table contributes $7 towards profit. Each product passes through two manufacturing points, cutting and finishing. Bookcases take 2 hours in cutting and 2 hours in finishing. Tables require 3 hours in cutting and 1 hour in finishing there are currently 12 hours available in cutting and 8 in finishing.
(a) Formulate the linear programming equations
(b) Find the optimal solution