algebra

An amusement park charges $8 admission and average of 2000 visitors per day. A survey shows that , for each $1 increase in the admission cost, 100 fewer people would visit the park.

Write an equation to express the revenue, R(x) dollars, in terms of a price increase of x dollars

Find the coordinates of the maximum point of this function

What admission cost gives the maximum revenue?

How many visitors give the maximum revenue?

  1. 👍
  2. 👎
  3. 👁
  1. R(x) = (8+x)(2000-100x)
    So, that is just a parabola, with its vertex (maximum revenue) at x=6

    Now you can answer the other questions.

    1. 👍
    2. 👎
  2. knlknl

    1. 👍
    2. 👎
  3. y=4x+8

    1. 👍
    2. 👎
  4. Need help

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math word problem

    The admission fee at an amusement park is $ 1.50 for children and $ 4.00 for adults. On a certain day, 258 people entered the park, and the admission fees collected totaled $712 . How many children and how many adults were

  2. Algebra

    The table shows the amount of time spent at a park and the admission fee the park charges. Find the rate of charge in the fee with respect to time spent at the park and interpret its meaning. x= time hours 4 5 6 y= admission fees

  3. Math

    The total cost to pay for parking at a state park for the day and rent a paddleboard are shown. Number of Hours Cost 1 $21 2 $37 3 $53 4 $69 Find the cost to park for a day and the hourly rate to rent a paddleboard. The cost to

  4. math

    A group of friends wants to go to the amusement park. They have no more than $305 to spend on parking and admission. Parking is $19, and tickets cost $26 per person, including tax. Write and solve an inequality which can be used

  1. Math

    The regular admission price for an amusement park is $72. For a group of 15 or more, the admission price is reduced by $25. How many people need to be in a group to save $500? Need Answer step by step.

  2. math

    a group of people pays $720 for admission tickets to an amusement park the price of an adult ticket is $15, and a child ticket is $8. there are 25 more adults than children. how many children are in the group?

  3. Math

    1. Identify the decimal And simplified fractional form of 60%. A. 0.6 and 4/5 B. (0.6 and 3/5) C. 0.06 and 3/5 D. 0.06 and 6/10 2.A baseball team wins 45% of its games. What fraction of games does it win? A. 8/20 B. 9/25 C. (9/20)

  4. Math Word Problem

    A museum charges ​$13.50 for a​ one-day youth admission and ​$16.50 for a​ one-day adult admission. One​ Friday, the museum collected ​$1581 from a total of 110 youths and adults. How many admissions of each type

  1. high school algrebra 1

    A youth group is planning a trip to a local amusement park. They are taking a van which holds 10 people. It will cost $25 for parking and tickets to enter the park are $18 per person. create an equation for this situation

  2. statistics

    A survey found that women's heights are normally distributed with mean 63.5 in. and standard deviation 2.3 in. The survey also found that men's heights are normally distributed with a mean 68.7 in. and a standard deviation 2.8.

  3. Math

    jackson has up to 7 1/2 hours to spend at an amusement park. he will spend 1 1/2 of those hours at the water park. he will spend x hours at each of the 3. other sections in the amusement park. solve for x

  4. math

    a group of people pay $720 admission at an amusement park. Thad adult tickets were $15 and children tickets were $8. there are 25 more adults then children how many children are in the group

You can view more similar questions or ask a new question.