You have no idea.
I got to experience first hand much of the organizing and thru-put on Friday. I went to the Westmont delivery and service center on Friday. Behind the building was rows of Tesla organized A-F and number 1-25 ish (so A1, A2 ... F24, F25) where the location of each car was tracked as the JIT (just-in-time) flow of customers completing paperwork, then customer being taken to their cars for walk-around inspections, then a walk-thru inside the car and interface.
It was outstanding.
I also got to go to and see the nearby lot that they took trade-ins to and where they were prepping 100s of cars. They had a system based on scheduled delivery times. Each windshield was marked and as cars were cleaned and prepped they were marked to be taken to the delivery center. Several hired valets were making these runs.
It was very well organized.
Trucks of cas were also being delivered for the JIT next day (or next few days) deliveries (queued).
My son picked up his blue Model 3 that afternoon. His paperwork was smooth and quick even tho he was from out-of-state.
Back of Westmont delivery and service center.
Parking next to the nearby 'warehouse' where dozens of cars were inside being prepped (I was in there but didn't take pictures)
Another parking lot next to the nearby 'warehouse' where dozens of cars were inside being prepped (I was in there but didn't take pictures). In the background were few trade-in cars.