Maximizing Profits An apartment complex has 100 two-bedroom units. The monthly prot (in dollars) realized from renting out x apartment units is given by the following function. P(X) = 10x2 + 1,660x 45,000 To maximize the monthly rental profit, how many units should be rented out? E What is the maximum monthly profit (in dollars) realizable? $l:l %l E; ing Profits The management of the producers of a famous hot sauce estimate that their prot (in dollars) from the daily production and sale ofx cases (each case consisting of 24 bottles) of the hot sauce is given by P(X) = 0.ooooo1x3 + 3x 300 What is the largest possible prot the producers can make in 1 day? $:l The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata, produced by Phonola Media, is related to the price per compact disc. The equation p = o.ooo4x + 8 (0 s x 3 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) = 600 + 2x 0.00004x2 (0 s x 3 20,000). Hint: The revenue is R(x) = px, and the prot is P(>