These are some numbers I've compiled from around the internet for approximate annual production, i know the numbers aren't quite accurate for some but it's the best I could do, feel free to make changes by copying and editing (bolding what you updated) below.
It was simply out of curiosity and the lack of a better source.
Numbers approximate for 2010
Tag Heuer 700,000
Baume & Mercier 200,000
Cartier ~100,000 (based on 700 million pieces averaging 7000 dollars each)
Breguet >17,000 (up from 6,000)
Glashutte Original <10,000
A Lange S 2,000