Decide if tge following statement is true or false if true draw and explain an example if false give an counter example.

Let G be an arbitrary flow network, with a source s, a sink t, and a positive integer capacity ce on every edge e; and let (A, B) be a mimimum s-t cut with respect to these capacities. Now suppose we add 1 to every capacity; then (A, B) is still a minimum s-t cut with respect to these new capacities