1. (Maximizing Prot) The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata, manufactured by Phonola record Industries, is related to the price/compact disc. The equation p = 70.00042m + 6 (0 g :c g 12, 000) where 1!) denotes the unit price in dollars and a: is the number of disc demanded, relates the demand to the price. The total monthly cost (in dollars) fort pressing and packaging 3: copies of this classical recording is given by C(33) = 600 + 21:: 0.00002m2 (0 g :1: g 20, 000) To maximize its prots, how many copies should Phonola produce each month