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The owner of a local amusement park needs to identify the optimum price for admission tickets to maximize his profits. The number, N, of people who attend the amusement park is a function of the price, p, in dollars. N(p) = (p + 5)(p − 17), assuming the minimum ticket price is $12.00. The revenue generated, R, in dollars is R(p) = N(p) x p, where p is the number of tickets sold. The cost, C, of running the amusement park can be modelled by a composite function of N(p), C(p) = 75 + 12N(p) a. Graph this function, C(p) using desmos.org Paste a screenshot of the graph below.

The owner of a local amusement park needs to identify the optimum price for admission tickets to maximize his profits. The number, N, of people who attend the amusement park is a function of the price, p, in dollars. N(p) = (p + 5)(p − 17), assuming the minimum ticket price is $12.00. The revenue generated, R, in dollars is R(p) = N(p) x p, where p is the number of tickets sold. The cost, C, of running the amusement park can be modelled by a composite function of N(p), C(p) = 75 + 12N(p) a. Graph this function, C(p) using desmos.org Paste a screenshot of the graph below.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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4. The owner of a local amusement park needs to identify the optimum price for admission tickets to maximize his profits. The number, N, of people who attend the amusement park is a function of the price, p, in dollars. N(p) = (p+5)(p - 17), assuming the minimum ticket price is $12.00. The revenue generated, R, in dollars is R(p) = N(p) x p, where p is the number of tickets sold. The cost, C, of running the amusement park can be modelled by a composite function of N(p), C(p) = 75 + 12N(p) a. Graph this function, C(p) using desmos.org Paste a screenshot of the graph below.
Transcribed Image Text:4. The owner of a local amusement park needs to identify the optimum price for admission tickets to maximize his profits. The number, N, of people who attend the amusement park is a function of the price, p, in dollars. N(p) = (p+5)(p - 17), assuming the minimum ticket price is $12.00. The revenue generated, R, in dollars is R(p) = N(p) x p, where p is the number of tickets sold. The cost, C, of running the amusement park can be modelled by a composite function of N(p), C(p) = 75 + 12N(p) a. Graph this function, C(p) using desmos.org Paste a screenshot of the graph below.
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