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# True or False: In a LPP, the minimum value of the objective function $Z=ax+by$ is always 0 if origin is one of the corner point of the feasible region.

Toolbox:
• The objective function $Z=ax+by$,where $a$ and $b$ constants,which has to be minimized or maximized.
Step 1:
$m$ is the minimum value of $Z$,if the open half plane determined by $ax+by$ < $m$ has no point in common with the feasible region.
Step 2:
In a LPP,the minimum value of the objective function $Z=ax+by$ is always 0 if origin is one of the corner point of feasible region.
It is a False statement.