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Home  >>  CBSE XII  >>  Math  >>  Linear Programming
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True or False: Maximum value of the objective function $Z=ax+by$ in a LPP always occurs at only one corner point of the feasible region.

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  • The objective function $Z=ax+by$,where $a$ and $b$ constants,which has to be minimized or maximized.
Step 1:
If in an LPP,where $Z=ax+by$ is the objective function,then $Z$ has same maximum value on two corner points,then every point on the line segment joining these two points has the same maximum.
Step 2:
Maximum value of the objective function $Z=ax+by$ in a LPP always occur at only one corner point of the feasible region.
Hence it is a False statement.
answered Aug 28, 2013 by sreemathi.v
 

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