Browse Questions

# 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.

Toolbox:
• 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.