The reduced gradient for nonlinear programming is analogous to which of the following measures for linear models.Group of answer choicesobjective function coefficientconstraintshadow pricereduced cost
Question
The reduced gradient for nonlinear programming is analogous to which of the following measures for linear models.Group of answer choicesobjective function coefficientconstraintshadow pricereduced cost
Solution
The correct answer is "reduced cost."
Explanation:
In linear programming, the reduced cost of a variable is the amount by which the objective function coefficient of that variable would have to improve (increase for a maximization problem, decrease for a minimization problem) before it would be possible for that variable to assume a positive value in the optimal solution.
Similarly, in nonlinear programming, the reduced gradient provides information about how much the objective function would have to improve before a currently nonbasic variable (a variable not in the current solution) could enter the solution.
Therefore, the reduced gradient for nonlinear programming is analogous to the reduced cost for linear models.
Similar Questions
What is the meaning of 'Reduced Cost' in linear programming sensitivity analysis? A. It is the amount by which an objective function coefficient would have to improve (increase for maximization problem, decrease for minimization problem) before it would be possible for a corresponding variable that is currently set to zero to assume a positive value in the optimal solution. B. It is the amount incurred for setting a variable that is currently positive to zero. C. It is the amount by which the objective function value would have to improve before it would be possible for a corresponding variable that is currently set to zero to assume a positive value in the optimal solution.
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