Which of the following assertions concerning the Lagrangian multiplier is true?
A)If it is negative, then a one-unit increase in RHS value will decrease the objective function by the value of the multiplier
B) It has the same interpretation as the dual variables in linear programming
C) It represents the slope of the objective function
D) A and B

Question

Quizplus · Accepted Answer

The Lagrangian multiplier has the same interpretation as the dual variables in linear programming, indicating the change in the objective function value per unit change in the constraint's right-hand side (RHS). If it is negative, a one-unit increase in the RHS value of a constraint will indeed decrease the objective function by the value of the multiplier, aligning with the interpretation of dual variables in linear programming.

Which of the Following Assertions Concerning the Lagrangian Multiplier Is