Where I live, it’s free for school children and people on welfare etc. For university students it’s 5€ a year, for adults it’s 10€.
So really not a lot, but you also get access to a lot of other online services for free (encyclopedia, streaming service for older and arthouse films, magazines etc.)
Late fees are just there to keep you from keeping a book or whatever for long periods of time, because then other wouldn’t be able to read them.
“after everyone grabs a piece”. I’m sorry what size are your pizzas that multiple people share a pizza, and take that long to eat it, that you need to keep it warm in between?
I usually have a whole pizza for myself. Just like my friends. So everyone just has their box and usually eats out of it (depending on the setting, we might put it on plates).