One way to shorten the time is to constantly increase hospital capacity, so that in each month lets you infect more people. Especially if plasma donations turn out to work to reduce severe cases.
Another way is to separate young people from old people more effectively. Then you might be able to permit 1m young people to be infected each month with the same hospital budget we have today
Another way is to separate young people from old people more effectively. Then you might be able to permit 1m young people to be infected each month with the same hospital budget we have today