We are an official tax paying farm and have been so since 2003. There is no minimum requirement for sales to be a "farm" at the federal level, but you do need to show a profit for more years than not in order not to fall back to a hobby.
Benefits are being able to expense and depreciate the equipment needed to operate your farm, advertising costs, and the like. Our gross revenue is between $6000 and $15000/yr.
My aunt is a retired CPA, and she told me the exact same thing about a hobby. She didn't want to offer any more advice, because she wasn't current, but that's when my wife reminded me about our CPA's farm