文档介绍：CHAPTER 5
WHAT-IF ANALYSIS FOR LINEAR PROGRAMMING
Review Questions
-1 The parameters of a linear programming modelolumn gives the current value of each coefficient. The Allowable Increase column and the Allowable Decrease Column give the amount that each coefficient may differ from these values to remain within the allowable range for which the optimal solution for the original model remains optimal.
-1 The 100% rule considers the percentage of the allowable change (increase or decrease) for each coefficient in the objective function.
-2 If the sum of the percentage changes do not exceed 100% then the original optimal solution definitely will still be optimal.
-3 No, exceeding 100% may or may not change the optimal solution depending on the directions of the changes in the coefficients.
-1 The parameters in the constraints may only be estimates, or, especially for the right-hand-sides, may well represent managerial policy decisions.
-2 The right-hand sides of the functional constraints may well represent managerial policy decisions rather than quantities that are largely outside the control of management.
-3 The shadow price for a functional constraint is the rate at which the value of the objective function can be increased by increasing the right-hand side of the constraint by a small amount.
-4 The shadow price can be found with the spreadsheet by increasing the right-hand side by one, and then re-solving to determine the increase in the objective function value. It can be found similarly with a Solver Table by creating a table that shows the increase in profit for a unit increase in the right-hand side. The shadow price is given directly in the sensitivity report.
-5 The shadow price for a functional constraint informs management about how much the total profit will increase for each extra unit of a resource (right-hand-side of a constraint).
-6 Yes. The shadow price also indicates how much the value of the objective fu