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3. (25 points) The computer output for the solution of the following LP problem is given in the second attached file. Min Siti 1x3 15 3x1 + 4x2 - 1x3 > 20 x1, x2, x3 > 0 (A) (5 points) What will happen to the optimal values of the variables and objective function if the objective function coefficient of X2 is decreased by 0.5? Why? (B) (3 points) Give the optimal solution for this problem. (C) (5 points) What will happen to the optimal value of the objective function if the right hand side of the 2nd constraint is changed to 3.3? Why? (D) (5 points) What will happen to the optimal values of the variables and objective function if the objective function coefficient of the XI is increased to 15.5? Why? (E) (5 points) What will be the objective function value if the right hand side of the 3rd constraint is decreased by 22? Why? 139.730 Objective Function Value = Reduced costs Value Variable 0.000 0.676 0.000 7.297 0.000 1.892 X1 X2 X3 Dual Prices Constraint Slack/Surplus 1 2 3 20.811 0.000 0.000 0.000 -3.405 -4.432 OBJECTIVE COEFFICIENT RANGES Current Value Upper Limit Variable Lower Limit X1 X2 X3 1.333 14.324 13.500 15.000 15.000 16.000 15.543 No Upper Limit 180.000 RIGHT HAND SIDE RANGES Constraint Lower Limit Current Value Upper Limit 1 2 3 9.189 3.333 -2.500 30.000 15.000 20.000 No Upper Limit 111.250 90.000