Question

Can there be more than one point in the feasible region where the maximum or
minimum occurs? Explain.

Answer 1

No. You must always check to see if a solution exists. If it does, it will be at a corner point. (thanks for checking out the prob for me though @sirm3d

Answer 2

i would say yes, it's possible. this happens when the function to maximize/minimize is parallel to one of the constraints.

Answer 3

the optimal solution is the same as one of the constraints, hence there will be many solutions (theoretically)