Excel 2007 : Problem using MAX and INDEX in one formula

Dears,

I want to return the maximum value in a column if it matches two categories (Carrier and Type).

So far, I did successfully to use array formula (& CSE) to get the corresponding value; however, i don’t know where to fit the MAX function.

Attached is a sample of what I want to do

I would appreciate if anyone can please take a look and help me

Thank you in advance