1. Consider the following LP model: Maximize 2 4x1 + 2x2 subject to 3x1 + 2x2 12 x1+x 5 1, 20 By using graphical sensitivity analysis, answer the following questions. (a) Find the dual prices of constraints 1 and 2. (b) Find the feasibility ranges of the constraints 1 and 2. (c) Find the optimality ranges of the objective function coefficients. (d) If the right-hand side of constraint 1 is decreased to 10, how will this decrease impact the optimum solution. (e) Suppose that the objective coefficient of is increased to 6. Will the current optimum remain the same?