In the spirit of thanksgiving!

A large Thanksgiving banquet served between 500 and 600 people. The dinner rolls came in baker’s dozens (packages of 13). After everyone had been served a roll, there were a number of empty packages plus one open package with 10 rolls left. The pies for dessert had each been cut into ninths, and after everyone had been served a slice there were a number of empty pie
tins plus one pie tin with 4 slices left. The tables in the banquet hall each had
room for 15 guests. All of the tables, except one, were full.

How many people attended the banquet? How many people were seated at
the table that was not full? How many pies were there? How many packages
of rolls?