The "city" structure is an administrative choice and it's super common down south to have tiny towns that run as a city.
A 6-person department is just about the minimum for 24/7 coverage. IDK why they have a department at all though. Just let the state police or sheriff deal with it IMO.
>Just let the state police or sheriff deal with it IMO.
One guess: response times that measure in minutes not hours.
It is also worth noting that county governments have limited powers for things like building codes (at least in Texas).
I'm from a town like this and the reason they have a PD is to provide a sinecure for a half dozen former school bullies.