See, but there will always be those who either can not be productive for one reason or another, or simply won't be productive. The current system does not fix this problem either.
My point is that a basic income would alleviate symptoms of poverty by raising the very bottom to a level closer to sustainability. It would also provide for needs that could then be saved by cutting unnecessary social programs that cost far more because of the fact they need to be operated by a bureaucracy. To provide food for someone in a food program costs much more than the food itself costs because of staffing and documentation. If instead, a basic income was paid out to those users, it would be far, far cheaper for them to just go out and buy the food without all the extra bureaucratic costs.