From the styling it looks like the Art Deco era, ca. 1920-1950. They might possibly be part of a dining set. The West Point stamp makes the chairs look institutional, but it could also simply be a style name for that particular manufacturer. If the chairs ARE from West Point, I don't think it would make much difference for value, except maybe for an alumnus.
Unfortunately, chairs aren't as valuable as people think they should be. These would be about $30 each, depending on where in the country you are. Maybe a bit more, maybe a bit less.
The good news is that the vinyl can be taken off easily, and that reupholstry (if necessary) would be pretty easy as well.