10. The profit, P, of a video company (in thousands of dollars), is given by P(x) = -5x² +550x-5000, where x is the amount spent on advertising, in thousands of dollars. a) Determine the amount spent on advertising that will result in a profit of $0. In other words, you will determine the amount that must be spent on advertising in order for the company to "break even." Describe the relationship between these values and the graph of P(x). b) How much should be spent on advertising to achieve a maximum profit? c) What is the maximum profit? d) Graph the function and state the domain.
10. The profit, P, of a video company (in thousands of dollars), is given by P(x) = -5x² +550x-5000, where x is the amount spent on advertising, in thousands of dollars. a) Determine the amount spent on advertising that will result in a profit of $0. In other words, you will determine the amount that must be spent on advertising in order for the company to "break even." Describe the relationship between these values and the graph of P(x). b) How much should be spent on advertising to achieve a maximum profit? c) What is the maximum profit? d) Graph the function and state the domain.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.5: Multiplication With The Addition-or-subtraction Method
Problem 31P
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Transcribed Image Text:10. The profit, P, of a video company (in thousands of dollars),
is given by P(x) = -5x² +550x-5000, where x is the amount
spent on advertising, in thousands of dollars.
a) Determine the amount spent on advertising that will result
in a profit of $0. In other words, you will determine the
amount that must be spent on advertising in order for the
company to "break even." Describe the relationship between
these values and the graph of P(x). "
b) How much should be spent on advertising to achieve a
maximum profit?
c) What is the maximum profit?
d)
Graph the function and state the domain.
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