(a) A cruise line offers a trip for $1700 per passenger. If at least 100 passengers sign up, the price is reduced for all the passengers by $10 for every additional passenger (beyond 100) who goes on the trip. The boat can accommodate 250 passengers. What number of passengers maximizes the cruise line's total revenue? What price does each passenger pay then? The number of passengers that maximizes the cruise line's total revenue is The price the passengers pay is $i (b) The cost to the cruise line for n passengers is 80,000 + 500n What is the maximum profit that the cruise line can make on one trip How many passengers must sign up for the maximum to be reached and what price will each pay? The maximum profit that the cruise line can make on one trip is $ i The number of passengers that must sign up for the maximum to be reached is must pay $i and each passenger

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(a) A cruise line offers a trip for $1700 per passenger. If at least 100 passengers sign up, the price is reduced for all the passengers by
$10 for every additional passenger (beyond 100) who goes on the trip. The boat can accommodate 250 passengers. What number of
passengers maximizes the cruise line's total revenue? What price does each passenger pay then?
The number of passengers that maximizes the cruise line's total revenue is i
The price the passengers pay is $i
(b) The cost to the cruise line for n passengers is 80,000+ 500n What is the maximum profit that the cruise line can make on one trip?
How many passengers must sign up for the maximum to be reached and what price will each pay?
The maximum profit that the cruise line can make on one trip is $i
The number of passengers that must sign up for the maximum to be reached is
must pay $ i
, and each passenger
Transcribed Image Text:(a) A cruise line offers a trip for $1700 per passenger. If at least 100 passengers sign up, the price is reduced for all the passengers by $10 for every additional passenger (beyond 100) who goes on the trip. The boat can accommodate 250 passengers. What number of passengers maximizes the cruise line's total revenue? What price does each passenger pay then? The number of passengers that maximizes the cruise line's total revenue is i The price the passengers pay is $i (b) The cost to the cruise line for n passengers is 80,000+ 500n What is the maximum profit that the cruise line can make on one trip? How many passengers must sign up for the maximum to be reached and what price will each pay? The maximum profit that the cruise line can make on one trip is $i The number of passengers that must sign up for the maximum to be reached is must pay $ i , and each passenger
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