You obviously need many fewer managers in that scenario. But I think you would need humans to decide that a business should exist and start it, and to continually set direction and goals (beyond mere financial goals).

It will be interesting to see the first businesses that are run almost entirely by algorithms. If that becomes common, or the norm, why would we even need separate companies? Maybe the algorithms will merge their "businesses." Maybe Skynet starts not via military algorithms but business algorithms.

EDIT: I recently left a medical device company, whose products without a doubt save and improve lives. This business was started decades ago, with two obvious goals: make money, and improving lives. Part of the direction and goals for that company has always been service to society (humans), and I know that many or most of the people working there think of it in exactly that way: they're serving society (and happily making money while doing it). That's how I felt about it.

What incentive would an algorithm have for starting and running a business like that? Particularly as fewer humans are required to serve that and other "businesses" (processes?), might such a company be seen as a waste of resources? Why not just let most of the humans die?

But then, following that thought to its sci-fi conclusion, once human civilization has all but disappeared, what would the purpose of any Skynet-like business algorithm be? Would it start shutting itself off, business/process by business/process?