Enter specific data with multiple criteria

help.xlsx
Please I really need help with this.
In the file that I attached there are two sheets 1 and 2 which have tables in them. What I want is for excel to look up each cell in sheet 1 Inventory column in sheet 2 Materialcode# and if it finds the number then I want it to look up dates closest to the start of the month of June in the rec'd date column, if it does find the date then it will put the number next to it from column lbs. rec'd, this number will be entered in sheet 1 cell b2 and so on under Starting Stock.
It should look like this for Inventory number 300001. And if it says 0 for Entries then it would also say 0 for starting stock.

Inventory__________Starting Stock
300001____________14,000


This would be the correct amount for that one.