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
Question
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
Solution
The shadow price measures the change in the value of the objective function value based on the per-unit increase in the right-hand side of the constraint.
Here's why:
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Shadow price, also known as dual value or marginal value, is a concept used in linear programming to measure the rate of change in the optimal solution of the objective function given a one unit change in the right-hand side of a constraint.
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In other words, it tells you how much the objective function value (either the maximum profit or minimum cost) will change if there is a one unit increase in the resources available, i.e., the right-hand side of a constraint.
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It's important to note that shadow prices are only valid within the range of feasibility, meaning the constraint must remain within its upper and lower bounds for the shadow price to hold true.
So, the shadow price measures the change in the value of the objective function value based on the per-unit increase in the right-hand side of the constraint.
Similar Questions
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 we change the constraint quantity to a value outside the sensitivity range for that constraint quantity, the shadow price will change.
The sensitivity range for a constraint quantity value is the range over which the shadow price is valid.
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
f both prices increases by 50%Group of answer choicesbudget constraint will be unchanged.slope of the budget constraint stay the same.slope of the budget constraint will decrease.budget constraint will shift outward in a parallel fashion.
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