Reading all published works

When was it last possible for a person to read all published works to date, within their lifetime (including books published during their lifetime?

I see this as a really important question to answer. One of the things that disappoints my about my English Literature lessons at school is that is did not provide me with the broad context of the written word, nor did it impress upon me the sheer volume of books published (and therefore how careful we must be in selecting what we read).