what number of passengers maximizes the cruise line's total revenue?

Aziz

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May 18, 2008
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A) A cruise line offers a trip for $2000 per passenger. If atleast 100 passengers sign up, the price is reduced for all the passengers by $10 for every additional passenger (beyond 100) whogoes on teh trip. The boat can accommodate 250 passengers. Whatnumber of passengers maximize the cruise line's total revenue? What price does each passenger pay then?
B) The cost to teh cruise line for n passengers is 80,000 +400n. What is the maximum profit that the cruise line can make onone trip? How many passengers must sign up for the maximum to bereached and what price will each pay?
 
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