9781118041581

Linear Programs 717 Obviously, large values of F and D (i.e., greater spending on the programs) will make it easier to meet the ...

FORMULATION ISSUES In some cases, LP problems have no solution or the solution is unbounded. Consider the following formulation: ...

Sensitivity Analysis and Shadow Prices 719 not only the numerical solution to the problem in question but also a wide vari- ety ...

Note that a small change in the contribution ratio has no effect on the optimal plan as long as the requisite inequality continu ...

Sensitivity Analysis and Shadow Prices 721 Shadow Prices Let’s return to the original version of the computer firm’s problem. Ma ...

price measures both the benefit of added capacity and the cost of reduced capac- ity. For instance, we saw that a 2,000-unit inc ...

Sensitivity Analysis and Shadow Prices 723 capacity is increased beyond 24,000 or any higher amount. Any additions to capacity b ...

Finally, shadow prices play a crucial role in evaluating new activities. To illustrate, suppose the firm is contemplating the pr ...

Sensitivity Analysis and Shadow Prices 725 In closing this section, it is worth making one further point about the rela- tionshi ...

The panel modeled the strategy for HIV prevention as an LP problem. The key question was: How should the budget for prevention ( ...

Formulation and Computer Solution for Larger LP Problems 727 amounts of labor and capital—two inputs in fixed supply. The firm h ...

40  20 60 labor-hours. This pair of inputs occurs at point D in Figure 17.6, halfway along the segment joining A and B. In gen ...

Formulation and Computer Solution for Larger LP Problems 729 Returning to the mathematical formulation, we know from the graph t ...

Computer Solutions Solving LP problems graphically is impractical for settings in which there are three or more decision variabl ...

Formulation and Computer Solution for Larger LP Problems 731 The formulation of this decision problem is as follows. Minimize: S ...

732 Chapter 17 Linear Programming TABLE 17.1 Linear Programming Solution for Police Staffing Problem The department meets its ho ...

Formulation and Computer Solution for Larger LP Problems 733 Upon execution, the spreadsheet-based optimization program instantl ...

fuels, which are cheap and abundant.^10 Electric utilities in China and the United States have begun development of underground ...

Formulation and Computer Solution for Larger LP Problems 735 The formulation begins with recognizing that a busing plan has 12 d ...

736 Chapter 17 Linear Programming TABLE 17.2 Linear Programming Solution for Busing Problem The least-cost solution shows the nu ...