Quote Originally Posted by a500lbgorilla
So the answer is completely independent of opponent's decision making?
Yes! We just want to find the lowest stack possible when it could be -EV to shove.

For example, it couldn't be -EV to shove with 50bb stacks, but it could be -EV to shove with 100000bb stacks.

Edit: Also this is going somewhere and isn't just a random calculation that nobody really should have to know how to do. But we've got to be able to do this in a basic scenario (the question in OP) before we expand on it.