I'm studying linear optimization from Hillier's book and it teach us how to perform sensitivity analysis regarding several changes in respect to the initial problem. One of these changes are adding a new constraint or variable. However, I didnt find any reference teaching how to proceed if one wants to remove one decision variable from the initial problem or remove one constraint.
I think that if the decision variable is non-basic in the previous optimal solution, then you can remove it without changing anything. But what if the decision variable is basic??
Similarly, if the constraint is unactive, I think you can remove it just fine, but what if it's active?
I appreciate any reference and guidances about this problem.