## 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 |

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Page 191

x1 = 0 ( 0,9 ) Maximize Z = 3x1 + 5x2 , subject to X1 < 4 2x2 = 12 2xy + 3x2 = 18 and x1 = 0 , x2 > 0 3x1 + 2x2 = 18 ( 2,6 ) ( 4,6 ) ( 0,6 ) 2x2 = 12 x1 = 4 Feasible region ( 4,3 ) FIGURE 5.1 Constraint

x1 = 0 ( 0,9 ) Maximize Z = 3x1 + 5x2 , subject to X1 < 4 2x2 = 12 2xy + 3x2 = 18 and x1 = 0 , x2 > 0 3x1 + 2x2 = 18 ( 2,6 ) ( 4,6 ) ( 0,6 ) 2x2 = 12 x1 = 4 Feasible region ( 4,3 ) FIGURE 5.1 Constraint

**boundaries**, constraint**boundary**...Page 195

The intersection of this first new constraint

The intersection of this first new constraint

**boundary**with the two constraint**boundaries**forming the edge yields the new CPF solution ( 4 , 2 , 4 ) . When n > 3 , these same concepts generalize to higher dimensions , except the ...Page 199

Recall that each corner - point solution is the simultaneous solution of a system of n constraint

Recall that each corner - point solution is the simultaneous solution of a system of n constraint

**boundary**equations , which we called its defining equations . The key question is : How do we tell whether a particular constraint ...### What people are saying - Write a review

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activity additional algorithm allowable amount apply assignment basic solution basic variable BF solution bound boundary called changes coefficients column complete Consider constraints Construct corresponding cost CPF solution decision variables demand described determine distribution dual problem entering equal equations estimates example feasible feasible region FIGURE final flow formulation functional constraints given gives goal identify illustrate increase indicates initial iteration linear programming Maximize million Minimize month needed node nonbasic variables objective function obtained operations optimal optimal solution original parameters path Plant possible presented primal problem Prob procedure profit programming problem provides range remaining resource respective resulting shown shows side simplex method simplex tableau slack solve step supply Table tableau tion unit weeks Wyndor Glass zero