As long as it was absolutely unbiased, I think you'd be right, but I also think having an unbiased AI is impossible, at least at this point in time, as the richest and most advanced main players "working" on it are way too corrupt to not be adding bias to their AI projects in every way conceivable.

I was thinking but didn't mention it in the story, that even though the orders had to be made at the time, deliveries of consumable items and items with a shelf life would be spread out over the full, 10 year period, which would help prevent people from using everything up too fast.

Like you say though, if humans are involved there will always be thieves who aren't satisfied with being honest, even though they have all they need.