Sum if multiple Criteria is true

I want to get a sum of a group of cells if multiple criteria is true.

Column A is the same "Date", and Column B is the same "Line", and column D is the same "Shift",

So if each row has the same Date, Line, and Shift, I want the sum of column "E" for those respective rows to go in column F for those respective rows.

Hope that makes sence, see attached for example, notice Shift changes...

**EDITED
Please note I need to do this in an Excel 2003 atmosphere.