In case Uiqua doesn't happen to wander by quickly enough, I can tell you not to stress out over production. I got one drop from the arena and two from dungeons. None of mine came from production. The Achath Chalice was also the last drop for me, and it came from a dungeon.
I got the first two drops quickly and then it took forever to get the last. One theory I came up with is that there's a chance for a drop each time you do a dungeon, pvp arena battle, or production event. If you hit that chance, it may randomly choose one of the three and then compare it to what you already have. If you already have it, nothing happens. You don't find a second. That would explain why I got the first two pretty quickly but the third one took foreeeeeeeever. I might have been theoretically getting drops, but they were one of the two I already had... but that's just a theory I came up with. Other people may have had completely different experiences that make that theory sound silly.
Also, I am really sick of dungeons.
