I hear ya but it does take a bit more than that. People get sick or go on vacation plus they can get called out any time day or night. They had 3 Full timers and 2 part timers and it looks like they were doing Code Enforcement and Animal Control as well.
In many places, small communities will pay the state police to handle all police related business as getting proper police coverage can be difficult otherwise. Generally, if there is a local police station in areas like this, it is because the community is willing to pay for faster police response times by having police posted locally.