Last week, 30 cases of a mysterious new illness surfaced in an isolated island community. This week 70 new cases were confirmed and reported to the...

Last week, 30 cases of a mysterious new illness surfaced in an isolated island community. This week 70 new cases were confirmed and reported to the Health Department. For the sake of simplicity, assume that a vaccine is available, that a person becomes immune as soon as they are vaccinated (which in reality is not the case) and the island is now quarantied.