Milk is mixed with other cows prior to homogenization to average out the taste, and prevent one cancerous ruptured-cyst "pus bag" cow from being the primary contributor to a gallon of milk. It also hides the sad effect of a sick cow mainly only producing a lot of pus when milked.
Staph infected pus-rudders can be systemic to a portion of a heard though. I was talking above about a ruptured tumor or cyst being vacuum milked out.
The average cup of milk in the United States will only contain about a single drop of pus. Some batches, far far far more pus.
How much pus is there in milk?:
https://nutritionfacts.org/2011/09/08/how-much-pus-is-there-in-milk/
When a cow is infected, greater than 90% of the somatic cells in her milk are neutrophils, the inflammatory immune cells that form pus. The average somatic cell count in U.S. milk per spoonful is 1,120,000.
Basically, once a cow becomes a "pus bagger" it goes unnoticed for several days.
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