This becomes a problem because all the kids from the rich school will dominate the order schools. They’ll get even more money as time goes on from their kids paying it forward to the point where all other kids are bound to work for them.
Now let’s say one other school does have the money for best tutors, BUT they know they’ll run out pretty quickly. Instead of trying to compete in a losing game, they decide to give every school in the world access to their elite lesson plan. Now, for a time, everyone will be on close to a level playing field. If the other schools improve upon their own lesson plans and keep sharing them with others, one day the elite school will wake up to find they are no longer on top. The parents have started to move their kids to other schools because the rich school is no longer attractive at the high cost they charge students