There are 86400 seconds in 24 hours (one day). Divide that by 18000 cows and you get 4.8 sec per cow. Let's say it really takes 5 minutes (300 sec) to milk a cow. Then you need 300/4.8 = 63 milking "lines" working 24/7 to handle the flow.
I'm sure my figures are wildly optimistic but, regardless, that's an incredible operation.
BTW, I know nothing about dairy farming. Are dairy cows milked more than once a day?

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