Re: out of paper!
We had one of those 2500 sheet trays (more an entire separate box that bolted on to the side), which at first was great. Yes, I was still the one that had to refill it, but at least I only had to do that once a week.
Eventually though we started to be plagued by mis-feeds, and I was constantly having to carefully un-jam multiple sheets which had all tried to go through at once. It took one of the engineers to point out to me that the massive stack of paper was spending so long in the tray, it was getting damp enough over the course of a week that it failed to feed properly.
So it turns out, you can have too much paper capacity.