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In a LPP if the objective function $Z=ax+by$ has the same maximum value on two corner points of the feasible region,then every point on the line segment joining these two points give the same ________ value.

1 Answer

Toolbox:
  • If $R$ is a feasible region for a LPP problem,and bounded ,then $Z$ has both a maximum and a minimum value on $R$
Step 1:
If $R$ is the feasible region for a LPP problem and $Z=ax+by$ is the objective function ,then $Z$ has an optimal value(maximum or minimum)where the variables $x$ and $y$ are subject to constraints described by linear inequalities.
Step 2:
In a LPP if the objective function $Z=ax+by$ has the same maximum value on two corner points of the feasible region ,then every point on the line segment joining these two points give the same maximum value.
answered Aug 27, 2013 by sreemathi.v
 

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