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 = 0.00032x + 5 with 0≤x<12000, where="" p="" denotes="" the="" unit="" price="" in="" dollars="" and="" x="" is="" the="" number="" of="" discs="" demanded,="" relates="" the="" demand="" to="" the="" price.="" the="" total="" monthly="" cost="" (in="" dollars)="" for="" pressing="" and="" packaging="" x="" copies="" of="" this="" classical="" recording="" is="" given="" c(x)="600" +="" 2x="" -="" 0.00002x^2="" with="" 0≤x≤20000.="" to="" maximize="" its="" profits,="" how="" many="" copies="" should="" phonola="" produce="" each="">12000,>
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