alexisbreton
09.11.2019 •
Business
The owner of a luxury motor yacht that sails among the 4000 greek islands charges $552/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 every 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. passengerswhat is the maximum revenue? $ what would be the fare per passenger in this case? (round your answer to the nearest dollar.) dollars per passenger
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Ответ:
a).The maximum revenue for the owner of the yacht will only be possible at maximum capacity, when total number of passengers=90
b). Total maximum revenue=$42,400
c).The fare per passenger=$471
Explanation:
a).The maximum revenue for the owner of the yacht will only be possible at maximum capacity, when total number of passengers=90
b). Total maximum revenue
Total revenue=Chargers per person for the first 20+Total amount for additional people
where;
Charges per person for the first 20=(552×20)=11,040 per day
A discount of $4 for additional persons=(552-4)=448 per day for all additional persons
Additional people=(90-20)=70
Total amount for the additional people=(448×70)=31,360 per day
Replacing;
Total revenue=(11,040+31,360)=$42,400
Total maximum revenue=$42,400
c). Fare per passenger
Fare per passenger=Total maximum revenue/total number of passengers
where;
Total maximum revenue=$42,400
Total number of passengers=90
replacing;
Fare per passenger=42,400/90=471.11 to nearest dollar=$471
The fare per passenger=$471
Ответ:
Yes, this is important.
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