Clementine

In the distant future, the earth is ravaged by nuclear war and its attendant fallout. The majority of the male population has developed infertility, with a select few retaining their virility. Those who do are whisked to the capital city to serve as a breeding stud in luxury with all their needs financial, sensual and otherwise taken care of. Their partners from before the great war may come with them, but are only allowed sexual contact once a month.