Final answer:
The FF&E vendor should first review the packing lists and purchase order to verify the missing table was indeed ordered and should have been delivered. The next steps would include contacting the courier or manufacturer for resolution.
Step-by-step explanation:
When an FF&E vendor notices that a table listed on the installation drawing was not delivered, the first step should be to review the packing lists and purchase order. This check can confirm whether the table was included in the order and if it was supposed to be among the delivered items. If discrepancies are noted, then the FF&E vendor could proceed to contact the manufacturer's courier to clarify and adjust the delivery schedule as necessary, or, if it was never sent, to contact the manufacturer for further instructions, which may include sending a replacement. Filing a claim against the carrier is generally a later step after these initial investigations confirm a shipping error or loss.