# The owner of a luxury motor yacht that sails among the 4000 Greek islands charges \$408/person/day if exactly 20 people sign up for the cruise. However, if more than 20 people sign up (up to the maximum capacity of 100) for the cruise, then each fare is reduced by \$4 for each additional passenger.Assuming at least 20 people sign up for the cruise, determine how many passengers will result in the maximum revenue for the owner of the yacht. What is the maximum revenue? What would be the fare/passenger in this case? (Round your answer to the nearest dollar.)

Question
100 views

The owner of a luxury motor yacht that sails among the 4000 Greek islands charges \$408/person/day if exactly 20 people sign up for the cruise. However, if more than 20 people sign up (up to the maximum capacity of 100) for the cruise, then each fare is reduced by \$4 for each additional passenger.

Assuming at least 20 people sign up for the cruise, determine how many passengers will result in the maximum revenue for the owner of the yacht.

What is the maximum revenue?

What would be the fare/passenger in this case? (Round your answer to the nearest dollar.)

check_circle

Step 1

Let x be the number of additional passengers.

For additional x passengers, the revenue becomes,

Step 2

Obtain the critical points to find th...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in