# If the feasible region for a LPP is __________,then the optimal value of the objective function $Z=ax+by$ may or may not exist.

Toolbox:
• If $R$ is unbounded ,where $R$ is the feasible region ,then a maximum or a minimum value of the objective function may not exist.
Step 1:
If the feasible region for a LPP is unbounded, then the objective function $Z=ax+b$ may or may not exist.
Step 2:
Unbounded means that the feasible region does extend indefinitely in any direction.