I am reading the Bazaraa, Linear Programming, and there is something I do not understand about the economic interpretation of the dual Exactly the part where says
If the right hand side $b_i$ is perturbed slightly, since the current basic feasible solution remains feasible, we maintain its optimality
How do I know that B is still feasible and optimal?
I understand that if I perturb some $ b_i $ I would be moving a hyperplane and therefore modifying the feasible region, I also know that the objective function does not change, but I don't know what else to do.
