Maybe this has been answered already
It has, but I'll answer anyway
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who will be forced to build and maintain the automation machines
Nobody. Just as nobody is forced to write on wikipedia, create material in creative commons, start the Open Source Architecture nexwork, Open Source Ecology, build The RepRap, write Linux or take part in any other thousands of FOSS successful projects.
Many free software developers get paid for what they do. Even if they wage comes from charity.
In any case, I'm glad that you don't want the state to do it. Like you, I think is better if the private sector takes care of it.
But I'm afraid most TZM followers don't think like you.
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Also, who will decide how much each person needs, and what will prevent them from deciding they need more than others?
In order: the planet (resources available), scientific method, education, education, education. No forcing, no coercion, no baseless opinions, no bullshit.
The planet and the scientific method will decide what each person needs?
Inanimate concepts such as the scientific method can't decide anything.