3. A linear programming model is given as follows: Minimize Subject to Z = 8x + 6x 4x + 2x 2 20 -6x + 4x 12 x + x 6 X1, X2 0 (a) Define the feasible solution area and obtain the optimal solution graphically. (b) If the coefficient of x in the objective function decreases to 4, what effect will be? (c) If the second constraint, -6x + 4x2 12, is removed from the given model, what effect will be? (d) If a new constraint, 4x + 6x2 24, is added to the given model, what effect will be?

3. A linear programming model is given as follows: MinimizeSubjectto6x1+4x2x1+x2x1,x2Z=8x1+6x24x1+2x2126020 (a) Define the feasible solution area and obtain the optimal solution graphically (b) If the coefficient of x2 in the objective function decreases to 4 , what effect will be? (c) If the second constraint, 6x1+4x212, is removed from the given model, what effect will be? (d) If a new constraint, 4x1+6x224, is added to the given model, what effect will be