Suppose a tour guide has a bus that holds a maximum of 100 people. Assume his profit

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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 P(n) = n(50 - 0.5n) - 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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Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Mar 05, 2019 05:11 AM

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Suppose a tour guide has a bus that holds a maximum of 100 people. Assume his profit

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a Note that Pn 50n 5n 2 100 so Pn 50 n which is zero when n 50 It ...View the full answer

Calculus Early Transcendentals

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