Maximizing profit Suppose a tour guide has a bus that holds amaximum of 100 people. Assume his profit (in dollars) for taking npeople on a city tour is P(n) = n(50 - 0.5n) - 100. (Although Pis defined only for positive integers, treat it as a continuous function.)a. How many people should the guide take on a tour to maximizethe profit?b. Suppose the bus holds a maximum of 45 people. How manypeople should be taken on a tour to maximize the profit?

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