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Advanced Proof

Sensitivity Analysis: The Impact of Objective Function Coefficient Changes on Optimality

Students frequently conflate changing the objective coefficients with changing the constraint boundaries. Remember: modifying cj c_j changes the slope of the objective function (the 'tilt'), while modifying bj b_j changes the feasible region (the 'walls'). Only the former affects reduced costs directly.
Institutional Reference: Linear and Integer Programming
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