How quickly could robots scale up?

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Once robots can do physical jobs, how quickly could they become a significant part of the work force?

Here’s a couple of fermi estimates, showing (among other things) that converting car factories might be able to produce 1 billion robots per year in under 5 years.

Nothing too new here if you’ve been following Carl Shulman for years, but I thought it could be useful to have a reference article. Please let me know about corrections or other ways to improve the estimates.