ProductIF with Mutiple Criteria

I need the formula to check the 2 "text" values and 1 numerical value in three different cells and if all three are valid, multiply their corresponding numerical values which are located in three other different cells. Here is my formula (which is not working):

=PRODUCT(IF(b5 ="Text",d5="Text",e5=number,(s7*s33*s23),""))

Any ideas?

That worked! Now the tricky part...The 2 "text" fields and 1 numerical field are actually pick lists that depending on what value is selected from the pick list, the values corresponding in the cells that need to be multiplied need to change.

So for example, the following formula works for any text or any number that is entered in cells B5, D5, or E5:

=IF(AND(ISTEXT(B5),ISTEXT(D5),ISNUMBER(E5)),S7*S33*S23,"")

I need the formula to work as follows:

=IF(AND(IS"Pick list1 TEXT value1"(B5),IS"Pick list2 TEXTvalue1"(D5),IS"Pick list3 NUMERICALRvalue1"(E5)),S7*S33*S23,"")

Once I get that to work, I'll duplicate it for every pick list value:

=IF(AND(IS"Pick list1 TEXT value2"(B5),IS"Pick list2 TEXTvalue2"(D5),IS"Pick list3 NUMBERvalue2"(E5)),S8*S34*S24,"")...etc, etc, etc

Can that be done?

This is the actual formula that I tried first but I'm getting the #VAULE! error with it:

=PRODUCT(IF(B5="January",D5="Stage 5",E5="50"),(S7*S33*S23),"")

Again if it works, I'll keep duplicating. My next formula would be something like:

=PRODUCT(IF(B5="February",D5="Stage 6",E5="100"),(S8*S34*S24),"")

Anyway, can the

=IF(AND(ISTEXT(B5),ISTEXT(D5),ISNUMBER(E5)),S7*S33*S23,"")

formula be edited somehow to do what I'm looking for?