Consider the following mathematical model: Max z= = 3X1 + X2 + 3X3 S.T 2X1 + X2 + X3 =0 a) Solve the above mathematical model using Simplex Algorithm. Note that you need to show all the steps and calculations in order to receive a good mark. b) Solve the above mathematical model using LINDO software and print out the first page (mathematical) and the second page of the solutions. c) Compare the solutions from part (a) with part (b). What is your conclusion