Help with SUMPRODUCT IF type of function

I would like to use a formula that accomplishes the following:

If the values in the row A contain the word "Retail" , then multiply the value in column B with column C and add the results , if not, then 0.

I would expect the result to be 100 (from row 1) + 25 (from row 3) = 125


A B C
Retail store 10 10
Direct 10 10
Retail online 5 5