Which certainly raises the question: are they in fact making money overall on youtube? Considering not just the initial acquisition cost, but also the further investment they put in over the years. I'm not sure how one would find out, but it isn't the slam dunk obvious case that the OP was implying.

> are they in fact making money overall on youtube?

if they weren't, won't it make sense to drop it? So by empirical observation of the outcome, it seems like youtube produces enough value to google that it is worth the investment!

Now if you ask whether youtube is financially net-positive; ala, if youtube were to be spun off as an individual/separate entity without being owned by google, then that's another question altogether. I have doubts it is financially net-positive without the leverage that google provides in utilizing youtube's assets.