1. QingPeng (QP) Zhang qpzhang@email.arizona.edu

2.  Sensitivity analysis is concerned with how changes in an linear programming’s parameters affect the optimal solution.

3. Profit generated by each soldier $3 Profit generated by each train $2

5. Constraint/ObjectiveSlope Finishing constraint-2 Carpentry constraint-1.5 Objective function Basic variable Basic solution

6. CChange objective function coefficient CChange right-hand side of constraint OOther change options SShadow price TThe Importance of sensitivity analysis

7.  How would changes in the problem’s objective function coefficients or the constraint’s right-hand sides change this optimal solution?

8. ? ?

13.  Change objective function coefficient  Change right-hand side of constraint  Other change options  Shadow price  The Importance of sensitivity analysis

16.  As long as the binding point (B) of finishing and carpentry constraints is feasible, optimal solution will occur at the binding point.

18.  Change objective function coefficient  Change right-hand side of constraint  Other change options  Shadow price  The Importance of sensitivity analysis

21.  Change objective function coefficient  Change right-hand side of constraint  Other change options  Shadow price  The Importance of sensitivity analysis

22.  To determine how a constraint’s rhs changes the optimal z-value.  The shadow price for the ith constraint of an LP is the amount by which the optimal z-value is improved (increased in a max problem or decreased in a min problem).

24.  Change objective function coefficient  Change right-hand side of constraint  Other change options  Shadow price  The Importance of sensitivity analysis

26.  Deal with the uncertainty about LP parameters