I can't answer your question, at least to the detail that you're taking it, but I didn't want to leave your post without any replies. Sadly some of the best folks to answer your question haven't been around in awhile. In particular I'm thinking of Wyndstar and Iztok Bitnec. Sole Soul is another very good resource for things like this, but I haven't seen him around in a bit either.
I did a quick search and found one thread that might be useful to you. Try Production explained - how various bonuses apply. You might also just try using a google search with the site search key "site:forums.galciv2.com" along with terms like "economy", "income" or "production". Adding in a "Wyndstar" and/or "Iztok" term might help narrow the search as well.
One thing you should specifiy is the version of the game that you're playing since it definitely makes a difference whether you're playing DL, DA or TA.
Another thing you need to be a bit careful of is that it's a small difference between an increase in production being spread between 12 military points and 12 social points versus 10 military points and 12 social points. For one thing this could solely be due to rounding. For another thing you likely have a military production bonus that's noticeably different than your social production bonus.
The entire production/income/economy thing has been the topic of numerous threads over quite sometime but these are usually things that aren't completely and simply documented and generally need someone with considerable experience in the game to deduce the explicit details from what is generally known or published in the Wiki which is another good source of data.
Hope this helps. 
