## Introduction to Operations Research, Volume 1-- This classic, field-defining text is the market leader in Operations Research -- and it's now updated and expanded to keep professionals a step ahead -- Features 25 new detailed, hands-on case studies added to the end of problem sections -- plus an expanded look at project planning and control with PERT/CPM -- A new, software-packed CD-ROM contains Excel files for examples in related chapters, numerous Excel templates, plus LINDO and LINGO files, along with MPL/CPLEX Software and MPL/CPLEX files, each showing worked-out examples |

### From inside the book

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Page 34

A

infeasible solution is a solution for which at least one constraint is violated . In the

example , the points ( 2 , 3 ) and ( 4 , 1 ) in Fig . 3.2 are

the ...

A

**feasible solution**is a solution for which all the constraints are satisfied . Aninfeasible solution is a solution for which at least one constraint is violated . In the

example , the points ( 2 , 3 ) and ( 4 , 1 ) in Fig . 3.2 are

**feasible solutions**, whilethe ...

Page 236

Weak duality property : If x is a

Glass Co. problem , one

Weak duality property : If x is a

**feasible solution**for the primal problem and y is a**feasible solution**for the dual problem , then cx Syb . For example , for the WyndorGlass Co. problem , one

**feasible solution**is xy = 3 , x2 = 3 , which yields Z = cx ...Page 286

Maximize Z = – x1 – 2x2 – X3 , subject to ( a ) Demonstrate graphically that this

problem has no

Demonstrate graphically that the dual problem has an unbounded objective

function . x1 ...

Maximize Z = – x1 – 2x2 – X3 , subject to ( a ) Demonstrate graphically that this

problem has no

**feasible solutions**. ( b ) Construct the dual problem . ( c )Demonstrate graphically that the dual problem has an unbounded objective

function . x1 ...

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