I'll echo the GP post - I'm a bit surprised at the amount of surprise. Maybe we need to be doing a better job of educating people about these things (or conversely, maybe we need to do a better job of sticking our heads outside our respective bubbles).
Obviously cars and yogurt are not directly comparable, but I'd wager they have similar dimensions of complexity - you have a lot of raw material provided by a lot of different vendors, all of which need to be managed and their output verified aggressively. Ford for example outsources the bulk of the parts for their vehicles, both R&D and manufacturing, and has to manage these same vendor relationships.
You have a lot of logistics when it comes to bringing a lot of different inputs together.
And then you have complex, precise manufacturing processes that not only have to be highly productive but also highly safe. There's a lot of human labor involved when it comes to compliance and safety, not to mention simply operating factories.
And then you have a lot of complexity in logistics to get the product to your customers - arguably Chobani is substantially more complex than any car company here, since there's a wider array and number of retailers than there are dealerships - and the relationship between supermarkets and manufacturer is more distant and harder to control than between dealerships and car brands.
All of this before we get into the administrative side of the company: marketing, sales, etc.
I'm surprised they can do it with as few as 2000 people.