The interpretation of the shadow price for nonlinear models is completely different from the interpretation of the shadow price for linear models.Group of answer choicesTrueFalse
Question
The interpretation of the shadow price for nonlinear models is completely different from the interpretation of the shadow price for linear models.Group of answer choicesTrueFalse
Solution
The correct answer is "False."
Explanation:
The shadow price, also known as the dual value, is a concept that applies to both linear and nonlinear programming models. It represents the change in the optimal objective function value for a one-unit change in the right-hand side of a constraint.
While the specific calculations and implications might differ slightly between linear and nonlinear models due to the complexity of the latter, the basic interpretation of the shadow price remains the same: it measures the marginal worth or value of an additional unit of a resource, given the current optimal solution.
Therefore, the statement "The interpretation of the shadow price for nonlinear models is completely different from the interpretation of the shadow price for linear models" is false.
Similar Questions
Based on the per-unit increase in the right-hand side of the constraint, the shadow price measures theGroup of answer choiceschange in the value of the objective function value.change in the right hand side of a constraint.change in the value of the optimal solution value.change in the objective function coefficient
If we change the constraint quantity to a value outside the sensitivity range for that constraint quantity, the shadow price will change.
For a non-binding constraint of a maximization linear programming, the increase in shadow price:Group of answer choiceswill increase the objective function value.will decrease the objective function value.will not change the objective function value.might increase or decrease the objective function value.
If a good that generates negative externalities were priced to take these negative externalities into account, itsMultiple Choiceprice would decrease, and its output would increase.price would remain constant and output would increase.price would increase, and its output would decrease.price would increase but its output would remain constant.
How do you determine the shadow price of a project?
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