The owner of a luxury motor yacht that sails among the 4,000 Greek islands charges $390/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 90) for the cruise, then each fare is reduced by $3 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?

A) 75; $16,875; $225
B) 80; $16,875; $215
C) 75; $17,375; $225
D) 80; $17,375; $215

Question

The owner of a luxury motor yacht that sails among the 4,000 Greek islands charges $390/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 90) for the cruise, then each fare is reduced by $3 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?
​
A) 75; $16,875; $225
B) 80; $16,875; $215
C) 75; $17,375; $225
D) 80; $17,375; $215

Quizplus · Accepted Answer

The maximum revenue is obtained when the number of passengers is 75. In this case, the fare per passenger is $225 and the total revenue is $16,875.

The Owner of a Luxury Motor Yacht That Sails Among