Sumproduct across multiplesheets

Dear All, Please kindly respond me. I am beating my head since day, and hoping may be I can get help in this forum.
I would like to do sumprodcut across multiple sheets (Date1 : Date 31). These dates are selected by drop down list (Data validation)
Sum function which is happening in Sheet “Date2” E16 to I 19, I would like that sum to take place in sheet “summary2” B8 to E11. I want similar function to take place in Summary2 for all the sheets selected by date(dropdown list).


Note: I will delete that function from sheets (Date1 to Date 31), because I don’t want it to be there. So, this won’t work for me (=Date2!E16) which is simply refering to that cell.

For more details please find the attached sheet.