Open in Acrobat Problem 3 (20 Marks) Use Graphical Method as discussed in class to solve two-variable linear programming (LP) problems. You need to draw the graph and follow the discussed solution procedure in solving the following 2 problems 3.1) For: Maximize Z = 3x + 2x2 subject to 4x + x2 57 X:+ x2 S2 X, > 0,X, 20 3.1.1) Find the optimal solution of this LP problem 3.1.2) Find the optimal objective function value of this LP problem 3.2) For: Minimize Z = 4x: + X2 I subject to X: + 3xy = 9 X1 + X2 55 X1 2 0,X220 3.2.1) Find the optimal solution of this LP problem 3.2.2) Find the optimal objective function value of this LP problem 3.2.3) Identify all feasible solutions of this LP problem. You may use one sentence or a math equation with reference to the graph you have drawn in solving the part of 3.2.1) of this LP