Maximizing profit Suppose a tour guide has a bus that

Chapter 4, Problem 53

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Maximizing profit Suppose a tour guide has a bus that holds a maximum of 100 people. Assume his profit (in dollars) for taking n people on a city tour is P1n2 = n150 - 0.5n2 - 100. (Although P is defined only for positive integers, treat it as a continuous function.) a. How many people should the guide take on a tour to maximize the profit? b. Suppose the bus holds a maximum of 45 people. How many people should be taken on a tour to maximize the profit?

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