what a week

If they don't understand what you're up against and how hard you're trying to please two masters -- with very little sleep -- they're not worth it. Start -- or resume -- your exercise regimen now, while you're feeling ten feet tall and bulletproof. You'll make your mirror proud in a few short weeks. Here's the plan: 'Coincidentally' run into higher-ups at the elevator, equipped (amazingly) with all the necessary paperwork and diagrams to prove your point. Hear that? It's the sound that shakes the skies just seconds before they're illuminated by a bright light. That's what's going on inside you -- and if you deny it, you'll only be postponing the inevitable. Why bother? Take cover, and prepare for the next. Okay, so you're cranky, and absolutely unappeasable. So what? Everyone has those days. It's just your turn. Backing down won't help, either. It will only make you crankier.
You may be a bit crankier than usual, but that doesn't mean you're wrong. You might try to do some research, though -- to eliminate the possibility of further mistakes. If you can take the day off, do it. Don't walk out permanently until you have another job and you don't have to worry about frivolous expenses -- like food and shelter.