3.) One company estimates that it can sell C units (in hundreds) of its air conditioners if it spends x thousand dollars on advertising, given by the equation 1 x² + 11x + 15. 2 C(x) (a) (5 pts.) Use completing the square to find the vertex of this quadratic function. Show your work. = - What are the maximum number of air conditioners the company can sell and the amount of money they must spend on advertising in order to sell them? Use correct units. Money spent on ads: Max. AC units:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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5.) One company estimates that it can sell C units (in hundreds) of its air
conditioners if it spends x thousand dollars on advertising, given by the equation
C(x) = x² + 11x + 15.
2
(a) (5 pts.) Use completing the square to find the vertex of this quadratic function. Show
your work.
What are the maximum number of air conditioners the company can sell and
the amount of money they must spend on advertising in order to sell them? Use correct
units.
Max. AC units:
Money spent on ads:
84
Transcribed Image Text:5.) One company estimates that it can sell C units (in hundreds) of its air conditioners if it spends x thousand dollars on advertising, given by the equation C(x) = x² + 11x + 15. 2 (a) (5 pts.) Use completing the square to find the vertex of this quadratic function. Show your work. What are the maximum number of air conditioners the company can sell and the amount of money they must spend on advertising in order to sell them? Use correct units. Max. AC units: Money spent on ads: 84
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