producer vs brewer

producer and brewer both are nouns.

Word	Noun	Adjective	Verb	Adverb
producer	Yes	No	No	No
brewer	Yes	No	No	No

As nouns, brewer is a hyponym of producer; that is, brewer is a word with a more specific, narrower meaning than producer:

Other hyponyms of producer include arms manufacturer, distiller, food manufacturer, sericulturist.

producer (noun)	brewer (noun)
something that produces	the owner or manager of a brewery
someone who manufactures something	someone who brews beer or ale from malt and hops and water
someone who finds financing for and supervises the making and presentation of a show (play or film or program or similar work)