If someone invented a pill that would add 25 years of robust, perfect health life to anyone who took it but cost $10,000 per month to produce the pill, is society entitled to this pill?

That is, should the government, and therefore the taxpayer pay to make sure everyone has free access to such a pill?

Clarification: You have to take this pill every month to have the benefit ($10,000 per month for the person taking it).