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The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonght Sonata, produced by Phonola Media, is related to the price per compact disc. The equation p = 70.00055)! + 9 (o 5 x 5 12,000) 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 by C(x) = 500 + 2x 0.00004x2 (0 g x 5 20,000). Hint: The revenue is R[x) = px, and the prot is P[)r) = R(x) C(x). Find the revenue function, R(x) : px. R(x} : Find the prot function, P(x} = R(x) 7 C(x). PM = Find the derivative oi' the prot function, P[X). P'(X] = Find the critical number of the function MIX}. (Round your answer to the nearest whole number.) To maximize its prots, how many copies should Phonola produce each month? (Round your answer to the nearest whole number.) |:| tho-tonthnn Maximizing Revenue The quantity demanded each month of the Sicard sports watch is related to the unit price by the equation 60 p: [USXSECU 0.0m2 + 1 where p is measured in doliars and x is measured in units of a thousand. To yield a maximum revenue, how many watches must be sold? (Round your answer to the nearest whole number.)