Nesting a SUMIF function

Hi community!

I have several columns of numbers that I want to add up in different ways.  Next to these are two checkbox columns.  I want to add up each column individually if both checkboxes are checked.

 

So in the example I have a series of data columns Q1 to Q4, each with a row label and next to each row label are 3 checkboxes that help me further define the data.  At the bottom I total each column, then use a formula such as =SUMIF(CatA1:CatA13, 1, [Q1]1:[Q1]13) to total up the column by category. 

What I need to do is get a total that match two criteria, a tick in CatB and if the corresponding data column contains the word "blue".

Any ideas? 

example.png

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