Question: If a new constraint is added to an optimization problem, exactly what happens to the feasible region? Feasible region gets smaller Feasible region gets larger

If a new constraint is added to an optimization problem, exactly what happens to the feasible region?
Feasible region gets smaller
Feasible region gets larger
Feasible region stays same
Adding a new constraint will increase the number of variables. Thus the feasible region will change.
Given information is not enough to answer this question.
If a new constraint is added to an optimization problem, exactly

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