change 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
change 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 correct answer is "change in the objective function coefficient."
Explanation:
The reduced cost (also known as opportunity cost) in linear programming is the amount by which an objective function coefficient would have to improve (increase for a maximization problem, decrease for a minimization problem) before it would be possible for a corresponding variable to assume a positive value in the optimal solution. In other words, it is the amount by which the cost of a non-basic variable would have to change before that variable would enter the basis.
Therefore, the reduced cost is associated with a change in the objective function coefficient, not a change in the right-hand side of a constraint, the value of the optimal solution, or the value of the objective function.
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