A good way to generalize this formula is that
$ =
Miles*(1+Cabin+Elite)/
(AA Multiplier) as the max amount for a partner.
In your example, this is miles*(1+.25+1.2)/11 = miles*2.45/11 = miles * 250/1122.45. This is the same as your formula, but seems more intuitive to me since it in terms of the variables that can be found from existing tables.
Thanks for making me think about it this way
Cheers.
Yes this is definitely a better way to generalize the formula and as you noted is functionally equivalent. I am lazy and forgetful and was trying to keep it to one variable