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If the feasible region is bounded, it means the region is enclosed and finite. In linear programming, the maximum and minimum values of the objective function occur at the corner points of the feasible region.
For a bounded feasible region, we evaluate the objective function at each corner point. The largest value is the maximum, and the smallest value is the minimum.
Therefore, if the feasible region is bounded, the objective function will have both a maximum and a minimum value.
Correct Answer: It will have both maximum and minimum values.