ahahah - 2,000 would be hard put to fit shoulder to shoulder on 5 acres, and would starve right quick - need a better example?
I have been on a working diary with 1000 head on it and was 6 total acres. Had a feed barn, an exercise round, a milking barn, fermenting pits and settling ponds for manure. Each barn and the exercise round held 1/3 of the herd. The feed barn had a trough behind the animals, which tend to defiicate while they eat.
A big water tank would fill, release and wash the manure into a series of settling ponds. The ponds were drained and cleaned out periodically with a front end loader. The manure the. was sold to the corn farmers who raised the feed corn.
The feed was kept in a covered pit to ferment a while before being used, to ease digestion. The cows were milked 3 times a day and produced 2 gallons per milking. They would produce for about 3 years after calving, would calve twice then “retire” to become hamburger.
Stood in the middle of this big circle in the heat of Texas summer...no flies...no smell. Amazing.