Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 7.7, Problem 9P

To determine

Tofind: thenumber of passengers which produce the greatest revenue for the company.

Expert Solution & Answer

Answer to Problem 9P

The greatest possible area of the rectangle is 1250m2 .

Explanation of Solution

Given information:

Fare of $60 each for 20 or fewer passengers and for more than 20 passengers fare is $58 for each.

Calculation: let x represents the no. of passengers greater than 20 .

Thus, the revenue is ,

revenue=no. of passengers·price per passengerr=(20+x)(60−2x)r=1200+20x−2x2 [multiply]

Now, differentiate and put equal to zero,

r=1200+20x−2x2r'=20−4x [differentiate]20−4x=0 [put equal to zero]x=5 [substitute]

Thus, the 25 passengers will give the max revenue.

Chapter 7.7, Problem 8P

Chapter 7.7, Problem 10P

Chapter 7 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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