In a two-variable linear programming problem, even if the RHS corresponding to a binding constraint were to be increased by a very large amount, it will always continue to be a binding constraint corresponding to the changed problem.

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A binding constraint is one where the solution values exactly satisfy the constraint's equation. If the right-hand side (RHS) of a binding constraint is increased by a large amount, the constraint may no longer be binding because the solution space has expanded, potentially allowing for new optimal solutions that do not exactly satisfy the original constraint's equality.

In a Two-Variable Linear Programming Problem, Even If the RHS