Fortresses and Production

[Saxon]

I have some questions about fortresses.

A: If I build a fortress with Admin 40, I understand that I get 40% of the neighbouring provinces resources.

B: I also ensure that the province that I built the fortress in produces 100% of the resources it can produce.

First off, are A and B true?

Now, if I build a fortress next to another province with a fortress, how do they interact?

C: Do they take 40% of each other’s production?

D: If three provinces with fortresses border the same province, how do they divide the production? The province only has 100% production, but three fortresses taking 40% each is 120%

E: Finally, if I had more money than I knew what to do with (this is a fantasy world), wouldn’t it make sense to build a fortress in every single province? That way all of them would produce the maximum. Sure, you might want to try and focus production in one place, but by not building a fortress, you cut your resource production in half in the provinces you ignore.