Post a New Question

Calculus

posted by .

A travel agency currently has 80plp signed up a tour. The price of a ticket is $5000 per person. The agency has chatered a plane seating 150 plp at a cost of $250000. Additional costs to the agency are incidental fees of $300 per person. For each $30 that the price is loverwd, one new perosn will sign up. How much should the price per person be lowered to maximise the profit fo the agency?

  • Calculus -

    P= r - c
    p= (5000-30x)(80+x)-300x
    p'= -60x + 2300
    x = 38.3
    therefore 38.3 * 30 = 1150 per person

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calc Help

    An agency charges $15 per person for a trip for groups of no less than 30 people. But for each person above the 30, the charge (for everyone!) will be reduced by $0.15. Write a revenue function for the agency usin x as number of people …
  2. Health care

    200- to 300-word response to the following: What is the purpose of the agency?
  3. English

    I still have a last question: In the reading comprehension the sentence is " When we went to complain to the travel agency, as a compensation for all the incovenience we had been caused, they offered us a weekend for two in Rome organized …
  4. travel agency

    hi, can anybody help me for my project...strength and weaknesses of a travel agency ....like any travel agency you know please help tnx
  5. Mathematics

    A travel agency offers group tours at a rate of $60/person for the first 30 participants. For longer groups-up to 90-each person receives a$0.50 discount for every participant in excess of 30. For example, if 31 participate, the cost/person …
  6. Problem solving

    A rental car agency charges $15 per day plus $.11 per mile to rent a certain car. Another agency charges $18 per day plus 8 cents per mile to rent the same car. If they rent the car for one day how many miles will they have to be driven …
  7. Problem solving

    A rental car agency charges $15 per day plus $.11 per mile to rent a certain car. Another agency charges $18 per day plus 8 cents per mile to rent the same car. If they rent the car for one day how many miles will they have to be driven …
  8. Math

    A rental car agency charges $15 per day plus $.11 per mile to rent a certain car. Another agency charges $18 per day plus 8 cents per mile to rent the same car. If they rent the car for one day how many miles will they have to be driven …
  9. Math

    A certain travel agency offered a tourthat will cost each person P 1500.00 if not more than 150 persons will join,however the cost per person will be reduced by P 5.00 per person in excessof 150. what will be the maximum profit?
  10. american goverment check answers

    3.  The National Science Foundation (NSF) raises money for scientific projects and research in the United States. What kind of agency is the NSF?

More Similar Questions

Post a New Question