Best estimates are that the private sector would get $2 back for every dollar it puts into a more efficient publicly run system. The thing about this is if we do it right and if we budget appropriately—not being cheap and making sure the system can be reasonably comprehensive—then in the future the private sector will be an ally and will realize the value you're providing for them as the pressures are taken off them.
On October 19th, 2017. See this statement in context.