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A constraint with a positive slack value will have a positive dual price. will have a negative dual price. will have a dual price

A constraint with a positive slack value can have different implications for its dual price. Specifically, it may have a positive dual price, a negative dual price, or a dual price of zero. Additionally, it is important to note that there are no restrictions on the possible values of its dual price. Could you clarify the relationship between positive slack and dual prices in this context?

2 Answers

A
Anonymous

Dec 21, 2024

will have a dual price of zeroExplanation:In a problem relating to optimization, a slack variable is simply referred to a variable which can be added to the inequality constraint so that it'll be changed to an equality. It should be noted that when a slack variable is introduce, the inequality constraint will have to be replaced by an equality constraint. A constraint with a positive slack value will have a negative dual price of zero.
A
Anonymous

Feb 22, 2025

will have a dual price of zero.Explanation:Slack variables are used in linear programming equation where the equation is not balanced and to balance the equation a variable equal to zero is introduced called a slack variable.The constraint in the slack variable will be zero, where the positive value.It is never equal to zero, but the value is so low and so near to zero that it is considered to be equal to zero.

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