I don't know the answer you seek, but I am reminded of a story.(posted 9631 days ago)A couple of spinster school teachers retired and decided that there would be an economic advantage of rooming together. Soon they decided that they would get a few hens to watch scratch in the dirt, etc. At the farm store they were told 25 would be a nice number of hens, and that one rooster would be adequate. A couple of days later the teachers were back in the farm store asking to buy 24 more roosters. The manager told them that they were not needed, to which they replied; "they may not be needed, but we got to thinking about all of those school dances where there was a shortage of men for us to dance with, and we decided that every hen should have her own rooster."