This is, nonobviously, the definition of the cutting stock problem. The cutting stock is your tables, from which you want to cut item-sized chunks. A table that can hold two items is just two tables that can only hold one. Mathematically, you can’t do it faster than enumerating all the possibilities and checking them. But that doesn’t help you much.

There are plentiful ready-made solutions online, or you can do it with an SMT solver if you prefer.