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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.

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.