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Default SUMIF with Multiple Conditions

I'm new to the community here so bare with me if my lingo isn't up to par
just yet. I'm in Excel 2003.
My workbook has 2 sheets; 'Inventory' and 'Source'.

'Inventory' has:
Month SKU# Beginning Inventory Ending Inventory
Jan '08 555 50,000
444 35,000
333 40,000

'Source' has:
Order Date SKU# Quantity
01/13/08 555 25,000
01/22/08 444 10,000
01/22/08 444 3,000
01/22/08 333 5,000
01/31/2008 555 3,000
02/13/08 555 2,000
02/22/08 333 1,500

I'm needing to provide the 'Ending Inventory' to the "Inventory" worksheet,
using the beginning quantity (in 'Inventory'), subtracting the total quantity
for each month (In 'Source'), by SKU #.

In my terms, the Ending Inventory for Jan '08, for SKU # 555 above would be:
Beginning Inventory shows 50,000
If SKU = 555 & Date is between 01/01/2008:01/31/2008 = 28,000
If SKU = 444 & Date is between 01/01/2008:01/31/2008 = 13,000

It's the 'between this date range' that is throwing me off and then coupling
it with the SKU #s.

Any direction is much appreciated. Truly!
thnx!

 
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