Why are your requirements strictly necessary? If you try to refute your own answer, it'll likely be a much more fruitful conversation.
If they have to pay a full-time employee, they can schedule the employee and force them to drive to a certain location, and do a certain number of trips, otherwise they would just fire them. They can squeeze out more efficiency from a single driver rather than hope that there's enough random drivers to fulfill all the demand.
Hiring people to just sit around and do nothing doesn't make any sense whatsoever.
Where does it say this?