IV. (30%) Solve the following two-decision variables LP using the graphical solution method. Write your procedures in this page and in the next one do the graph. s.t. Min z = 6x1 + 2x2 3x1 + 2x2 >12 2X1 + 4 X2 >12 X2 2 1 X1, X220 (c1) (c2) (C3) (6%) Space to write the math to draw the problem constraints Constraint 1: Constraint 2: Constraint 3: (6%) Write the math to draw two objective function lines (i.e., isolines, level lines or level sets) Use zo values of 30 and 15, respectively (5%) Space to write the constraints needed to find the optimal point (**) and the optimal objective function value z*. One of them is simple; remember LP sign constraints are xi20 and X220 X1* = X2*= z* = Page 5 of 7