Here is an example of my data:

Org                                     criticality                        
score
Corporate Marketing               critical                            100
Human Resources                   critical                            100
Corporate Security               non-critical                        75
Finance                               non-critical                         100
Corporate Marketing               critical                              50

I need to search column A for a specific org & B for "critical" and sum  
their values column C.  

Example lookup corporate marketing & critical would add 100+50 = 150

here is the formula I'm using that
is close:

=SUMPRODUCT(SUMIF('Score Calc'!D4:D10,{"Corporate Marketing"},'Score
Calc'!CJ4:CJ10))

I just need to know how to add another part to the array to also look up
"Critical"