Why is libertarianism so infallible?

Libertarianism is the inclusion of every sapient being into the decision making process and all that logically follows from that. Utilitarianism is the objective of ensuring the most happiness for all sapient beings and all that logically follows from that. Sometimes they compliment each other, other times they contradict.

Discuss.

>>253
I never said these problems must be solved by a welfare state, just that I recognise them and have come to the conclusion that such statist practices are undesirable. Libertarians are not saying orphans should be thrown out into the snow, they are saying it is unfair for work able adults to be paid unemployment benefit, free healthcare and state pensions when they should have saved and bought health insurance for all these things themselves. Why must to state step in to wipe people's asses and what's more why should the people who wouldn't have these problems if we were not living in a welfare state have to pay for it?