In a Constrained, Nonlinear, Optimization Problem with a Maximize Objective $\lambda$

Multiple Choice

In a constrained, nonlinear, optimization problem with a maximize objective function and a single equality constraint, if the value of $\lambda$ corresponding to the optimal solution is:

A) 5 , then the objective function will go up by 5 for each additional unit of the resource represented by RHS
B) 5 , then the objective function will go down by 5 for each additional unit of the resource represented by RHS
C) -5 , then the objective function will go up by 5 for each additional unit of the resource represented by RHS
D) -5 then the objective function will go down by 5 for each additional unit of the resource represented by RHS