I'm working with a client at the moment that has this issue, only they're talking price points from £100,000 to £2,000,000. They don't have 40,000 clients, but they do have a retention problem.
The Source issue (which I won't share, since I have a reasonably small client base) is what we're working with them around; the outcome through which we sold the project used similar arguments and math to that presented by the OP.
The Source issue (which I won't share, since I have a reasonably small client base) is what we're working with them around; the outcome through which we sold the project used similar arguments and math to that presented by the OP.