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The 100% Rule

This article explores the effects of modifying objective function coefficients and right-hand side values on optimization problems. It discusses two cases for each scenario and analyzes the implications of non-zero reduced costs and binding constraints.

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The 100% Rule

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  1. The 100% Rule • Changes in Objective Function Coefficients CASE 1: All variables whose objectivefunctioncoefficients are changed have non-zero reduced costs CASE 2: At least one variable whoseobjectivefunctioncoefficient is changed has a reducedcost of zero • Changes in Right-Hand Sides CASE 1: All constraintswhose Right-HandSidesare beingmodifiedarenonbindingconstraints CASE 2: At least one of theconstraintswhose Right-HandSideisbeingmodifiedis a bindingconstraint

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