The patent inventor authorized A to produce and sell. Can A authorize B? What are the basic rights of patent inventors?

First of all, you should clarify two concepts: the patentee, who owns this patent, can dispose of the patent at will within the scope of law; Inventor refers to a person who has made creative contributions to the substantive characteristics of invention and creation. He only has the right to state on the patent document that he is an inventor, and other rights are not involved.

Now answer your question:

(1) The patent inventor authorizes A to develop, produce and sell his patent. Does A have the right to authorize B? The inventor didn't assign his patent.

For your question, your "inventor" here should refer to the patentee, only authorizing A to produce and sell. Without transfer, Party A has no right to authorize others.

(2) Can Party B buy the goods produced by Party A and resell them without authorization? I bought a patented product that the inventor authorized A to produce. )

Yes, according to the principle of exhaustion, Party B has the right to dispose of the goods, and the source is legal.