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9. [3] A 400-room hotel in Las Vegas is lled to capacity every night at $80 a room. For each $ll increase in rent, 4

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9. [3] A 400-room hotel in Las Vegas is lled to capacity every night at $80 a room. For each $ll increase in rent, 4 fewer rooms are rented. a) At what rate should the hotel charge to maximum income using methods of optimization discussed in class. 13) What is the maximum income

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