How to sum values based on multiple array values?

Hi guys

I hope you can help me make a nice solution for this one.

In the enclosed spreadsheet I am trying to sum the total sum range of column B where the value in column A is equal to a value in column C.

I can express this in a SUMIF function as such: =SUMIF(A:A;C:C;B:B). The only problem with this is that I have to drill down with the formula so that it checks each criteria cell. I would like for it to sum it up in total in cell I have picked for the formula (f2 in my spreadsheet).

Maybe sumproduct could be of help but I have not been able to make it work...

Do any of you guys know of an easy solution?

Thanks in advance
Kind regards
Morten