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) c) Problem\#2.4 (Textbook - Diwekar) 2.4 On the bank of a river there are three neighboring cities that are discharging two kinds of pollutants A and B into the river. Now the state government has set up a treatment plant that treats pollutants from City 1 for $15/ ton which reduces pollutants A and B by the amount of 0.10 and 0.45 tons per ton of waste, respectively. It costs $10/ ton to process a ton of City 2 waste and consequentially reducing pollutants A and B by 0.20 and 0.25 tons per ton of waste, respectively. Similarly City 3 waste is treated for $20 reducing A by 0.40 and B by 0.30 tons per ton of waste. The state wishes to reduce the amount of pollutant A by at least 30 and B by 40 tons. Formulate the LP that will minimize the cost of reducing pollutants by desired amount