Using SUMIFS & LARGE (or similar?)

Hello,

I have a sheet with 3 columns filled in:
A is "Veggies" in (text) with 3 items; carrots, cucumbers & peppers
B is the "value" I want to sum (numbers) (the column is long & updated weekly so I need the formula to be dynamic)
C is the "date" in (week numbers) (same as above)

I am looking to have 2 calculations here:
- The sum of the 5 largest "values" provided they are "carrots" (then, the sum of the top 15, then top 40)
- The sum of the 5 (then 15, 40) largest "values" provided they are "carrots" for a period of time inferior to X numbers of weeks ("date").

I've been browsing tons of forums but can't figure out how to do.
Note that I will also need to divide this value by the same formula from another sheet in a later step.

Any help is appreciated!

Thanks a lot