III) Please formulate the following Linear programming problems from the Textbook and solve then using either Matlab or GAMS. (16 points) The objective functions and constraints formulated should be provided prior to notifying the solutions from Matlab/GAMS (No need to solve by Simplex or Graphical method, even if the textbook problem mentions it) b) Problem\#2.3 (Textbook - Diwekar) 2.3 A manufacturer sells products A and B. The profit from A is $12/kg and from B $7/kg. The available raw materials for the products are 100kg of C and 80kg of D. To produce one kilogram of A the manufacturer needs 0.5kg of C and 0.5kg of D. To produce one kilogram of B the manufacturer needs 0.4kg of C and 0.6kg of D. The market for product A is 60kg and for B 120kg. How much raw material should be used to maximize the manufacturer's profit? Formulate and solve the problem the optimal solution be affected if: 1. The availability of C were increased to 120kg. 2. The availability of D were increased to 100kg. 3. The market for A were decreased to 40kg. 4. The profit of A were $10/kg