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How does sensitivity analysis differentiate between binding and non-binding constraints?

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Sensitivity analysis differentiates between binding and non-binding constraints by analyzing the dual prices (shadow prices): binding constraints have non-zero dual prices, indicating sensitivity, while non-binding constraints have zero dual prices, indicating insensitivity.

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Sensitivity analysis differentiates between binding and non-binding constraints by evaluating the solution:

  1. Binding Constraints: These hold equality at the optimal solution. Any change to their right-hand side directly affects the optimal solution.
  2. Non-Binding Constraints: These do not hold equality at the optimal solution; there is slack. Changes to their right-hand side do not impact the optimal solution unless they become binding.

This differentiation helps identify which constraints are critical for maintaining the current optimal solution.

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