When the proportionality property of LP models is violated,we generally must use non-linear optimization.

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The proportionality property in linear programming (LP) models states that the change in any objective function or constraint is directly proportional to the change in decision variables. When this property is violated, the relationship between variables and outcomes becomes non-linear, necessitating the use of non-linear optimization methods to find a solution.

When the Proportionality Property of LP Models Is Violated,we Generally