I had thought more about this today, I think the most crucial thing for "high production" is you or your staff. You could have a MHM 4000 and if you have someone that knows nothing about proper mesh counts, inks and technique, your high production machine just turned into a "level 2/intermediate" or even a "entry level" production press. The press is just a tool, the core of the speed/production comes from the people setting it up and running it. When we stepped up to our new press(which I would consider a "high production" press) it was not for speed or production. I wanted to take on more complex and unique jobs.
You can run a "entry level" press at 62-68dz./hr. if it is the right print, everything goes right, and you have the right STAFF. It is rare we run our new press any faster than that, we have but it is rare. If I wanted us to stay with 1-3 color jobs all day every day I could of saved a boat load of cash and just bought a all air 6 color and let the guys run it as fast as they can. Heck, if you run a lot of DC jobs, a all air press may do the job just fine! I know Tony had his favorite all air press(I think it was a Gauntlet 1) that was a cash cow, if it was set up and ran properly.
Another thought would be a dryer to keep up with high production, but that would be a whole different thread! Plus I think I have carried on enough here :)