I don't think 3 humans can service 4800 trucks per day either.

At least, not without more automation than existing pumps have.

Eventually I think it could happen. It simply requires economies of scale--the hardware is not the expensive part of an automated gas pump.

Yes, its the software. And the software needs data to have the machine learn, given this data, a machine designed for fitting niches, can squeeze itself into even unlikely corners.

Except the employees are going to need breaks in between working and I'm going to just guess that manning a gas station in the middle of desert alone makes you insane pretty fast. So at least double that salary estimate if you truly want to keep things rolling with 1 truck every 3 minutes.

I'm not so sure - presumably these are going to be highway truck stops/gas stations. You're not going to leave one guy there alone and shut everything down when he goes on break, you're going to add another 1-2 people to the daily shift at an existing gas station, and share the extra load across them.

My numbers do break down in that one guy per shift probably can't fuel everything, so we might need to double it. (In states with locking pumps, he probably can, though.)

But again what if he needs to take a shit? I don't know about you, but I can't do my business and wipe well in less than 3 minutes, so the trucks stand there. Then there's the ~30min lunch break, that's 10 trucks just idling in the worst case scenario. Then just plain human interaction.

It's not just a factor if he can possibly fill every truck by himself, there are other human factors to consider. You need at least two men manning the station all the time for the autonomous trucks to refill there + maybe a spare guy for regular folk who come to visit.

Not the first year, but the next pumps come with automated fueling as standard equipment, and we can write off the upgrades over the next few years for tax savings.

Track per 3 minutes is 480 tracks per day.