Chapter 2.3, Problem 84E

### Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640

Chapter
Section

### Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

# Charter Revenue The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $600/person per day if exactly 20 people sign up for the cruise. However, if more than 20 people sign up for the cruise (up to the maximum capacity of 90), the fare for all the passengers is reduced by$4/person for each additional passenger. Assume that at least 20 people sign up for the cruise, and let x denote the number of passengers above 20. a. Find a function R giving the revenue per day realized from the charter. b. What is the revenue per day if 60 people sign up for the cruise? c. What is the revenue per day if 80 people sign up for the cruise?

(a)

To determine
The function R that gives the revenue per day.

Explanation

Given information:

The luxury motor yacht charges $600/person per day if exactly 20 people sign up for the cruise. If more than 20 person sign up for the cruise, the fare for all person is reduced by$4/person.

Calculation:

Let x be the number of passengers above 20, then the total number of passengers becomes 20+x .

For each additional passengers, the fare decreased by $4/person and the fair for one person is$600/person, so the fair per person for (20+x) passenger becomes (6004x)

(b)

To determine
The revenue per day if 60 people sign up for the cruise.

(c)

To determine
The revenue per day if 80 people sign up for the cruise.

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