FYI
"Max" as it relates to the bonuses given last age (having 30 scientists last age) is equivalent to 450K books. Just now, there are 16 types rather than just 7. Consider that 6.5million books takes all your initial scientists learning books the entire age in one category and allocating all the books into one type to make the examples above happen.
As it stands, if you divide them evenly, you will reach "max" by the end of the age in only 14 types.
Of course...you get ~20 new scientists (without revelation/labs) in a 12YR age, so you should easily max out all 16 types.
EDIT: Also...my math could be wrong of course...