AP Calculus AB

posted by .

A river boat company offers a 4th of july trip to an organization with understanding that there will be at least 400 passengers. each ticket is $12, and company agrees to refund $.20 to every passenger for each 10 passengers in excess of 400. find the number of passengers that makes the total revenue a maximum.

  • AP Calculus AB -

    revenue = price * tickets
    If 400+x tickets are sold,

    r = (12 - .2x/10)(400+x)
    r reaches max at x=100, or 500 tickets sold

  • AP Calculus -

    A piece of wire of length 246cm is cut into 12 parts whose length are in an A.P. Given that the sum of four shortest parts is 34cm, find the length of the longest part.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    The city bus company usually transports 12000 riders per day at a ticket price of $1. The company wants to raise the tickets price and knows that for every 10 cents increase, the number of riders decreases by 400. A. What price for …
  2. math

    The city bus company usually transports 12000 riders per day at a ticket price of $1. The company wants to raise the tickets price and knows that for every 10 cents increase, the number of riders decreases by 400. A. What price for …
  3. statistics

    Five percent of all items sold by mail order company are returned by customers for a refund. Find the probability that, of two items sold during a given hour by this company, a) both will be returned for a refund b) neither will be …
  4. Math

    A bus company has 4000 passengers daily, each paying a fare of $2. For each $0.15 increase, the company estimates that it will lose 40 passengers. If the company needs to take in $10,450 per day to stay in business, what fare should …
  5. Computer Science

    A public transport company provides three types of transports to its passengers to travel from city A to city B of different state. The three types of transports are train, bus and taxi. Each transport has different charges and maximum …
  6. Math

    The rates for Internet use offered by three companies are shown below. Company A: $6.00 every 90 minutes of use Company B: $2.75 every 45 minutes of use Company C: $3.00 for every 60 minutes of use Which company offers the lowest rate …
  7. math

    an airline company offers a round-trip group flight from New York to London. If x people sign up for the flight, the cost of each ticket is to be 1000-2x dollars. Find the maximum revenue the airline company can receive from the sale …
  8. Math

    A local club is arranging a charter flight to Miami. The cost of the trip is $225.00 each for 75 passengers, with a refund of $5.00 per passenger for each passenger in excess of 75. How many passengers must take the flight to produce …
  9. math

    philippine airlines transport around 800 passengers a month between manila and bacolod. a round trip ticket is 5,000.00 pesos. the company executives estimate that for each 300 pesos increase in the ticket price, 30 passengers would …
  10. Math

    A regional flight has first class passengers and of economy passengers. x = number of economy passengers and y = number of first class passengers The plane has at least 20 economy passengers The plane has at least 10 first class passengers …

More Similar Questions