That's why organic isn't always the most ideal.
In Europe it’s different - https://ec.europa.eu/agriculture/organic/eu-policy/eu-rules-...
“When the animals are ill, chemically synthesised allopathic veterinary medicinal products including antibiotics may be used where necessary and under strict conditions. This is only allowed when the use of phytotherapeutic, homeopathic and other products is inappropriate.”
https://www.fooddialogues.com/happens-farm-animals-raised-no...
> On an organic farm, once that animal receives antibiotics, she is no longer considered an organic animal. Rather than rejoining her organic herd, she will join a traditional herd of cows that may have received antibiotics during their lives.
The more popular the organic religious dietary code becomes, the least viable traditional herds are.
If your chicken don't get sick because they have free roaming space and don't peck each other and so on you don't need antibiotics.
Chickens are assholes no matter the square footage.
i won't spoil the punchline (it's not obvious from first blush).
otherwise you can search for “ODI optical distortion business case” to find sites that have the setup and various attempts at analyzing/answering the case.