2. Previously you solved a problem in which the profits of a company in millions of dollars were modeled as a function ofx, the number of franchises sold. The profits were modeled with the quadratic function: P = f(x) =-x2 + 10x - 10. Algebraically find the vertex of this function and explain what it means about the profits of the company.
2. Previously you solved a problem in which the profits of a company in millions of dollars were modeled as a function ofx, the number of franchises sold. The profits were modeled with the quadratic function: P = f(x) =-x2 + 10x - 10. Algebraically find the vertex of this function and explain what it means about the profits of the company.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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Transcribed Image Text:2. Previously you solved a problem in which the profits of a company in millions of dollars were
modeled as a function of x, the number of franchises sold. The profits were modeled with the
quadratic function: P = f(x) = -x²
function and explain what it means about the profits of the company.
-x2 + 10x-10. Algebraically find the vertex of this
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3. You are the head of marketing at a large company. Your research has shown that the
company's annual profit, P in millions of dollars, is a function of the amount spent on
advertising, x, in thousands of dollars. You determine that you can model the annual profits
with the quadratic function: = 230 + 20x- 0.5x2. The CEO of the company is willing to
spend up to four hundred thousand dollars on advertising this year in order to achieve the
highest possible profits. What advice do you have for the CEO? This CEO always wants very
succinct advice, but he is also interested in the "whole picture". He insists on full
documentation in case he later wants to review the facts. Write a report that gives clear advice
for the CEO and fits the above specifications.
%3D
212
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