Sum Quantity And Show Total For Each Site In A Table?

I've attached a sample workbook. Data Table 2 on the Data Tables sheet is what I'm after. Basically I have a formula that sums up quantity 1 (Q1) and quantity 2 (Q2) for all widgets at a site name and month. So for example, go down through column site name and column month and add up all of Q1 for site1 in the month of Jun 2014 (all widgets). This works but it shows duplicate totals which makes sense as there are mutliple widget types at each site. I think the example workbook explains it better. Note the Pivot Table sheet is an example of what I'm showing currently and what I'd like to show. While I understand that depending on how I set up the Pivot Table I can get similar results using either Table 1 or Table 2 but the other thing is that my users like to do some filtering of the data sheet itself without regard to the Pivot Tables.

sum quantity and show total for each site.xlsx