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Our current capitalist production and distribution systems sure use a lot of computers.
Like Walmart for example. I don't think anybody could imagine running a supply-chain operation on the scale of a Walmart without computer networks, in this day and age. They use computer networks to track their inventory and get goods from the dock to central distribution centers and then to the stores where people can buy the stuff. That takes alot of planning and they need computer networks to be able to do it as efficiently as they do.
That is capitalist central planning. But all the productivity and efficiency gains from technology are absorbed into the corporate profits, workers are laid off, and wages are kept as low as possible. Computerized central planning already exists, it just needs to be under democratic control or worker control so everybody can benefit from it, instead of just a few millionaires and billionaires.