How long were these made— depends on the context of the question. The details are pre-war, so one might say up until wartime, about earlier half of 1942.
The bike has minor differences from the post war bikes, and has more streamlining than the fairly-similar 1930’s bikes (which had a straight down tube from the head tube to the bottom bracket crank hanger).
If the context is specific to the missing head badge, then perhaps some research on that local distributor might be required?
The year or season of manufacture might be approximated from serial numbers stamped on the bottom of the bike.