A company estimates that it will sell N(x) units of a product after spending $x thousand on advertising, as given by N(x) = -0.25x+23x³-540x² + 80,000, where 24 sxs 45. When is the rate of change of sales increasing and when is it decreasing? What is the point of diminishing returns and the maximum rate of change of sales? Graph N and N' on the same coordinate system.

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
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A company estimates that it will sell N(x) units of a product after spending $x thousand on advertising, as given by N(x) = -0.25x+23x³-540x² + 80,000, where 24 sxs 45.
When is the rate of change of sales increasing and when is it decreasing? What is the point of diminishing returns and the maximum rate of change of sales? Graph N and N' on the same coordinate
system.
Transcribed Image Text:A company estimates that it will sell N(x) units of a product after spending $x thousand on advertising, as given by N(x) = -0.25x+23x³-540x² + 80,000, where 24 sxs 45. When is the rate of change of sales increasing and when is it decreasing? What is the point of diminishing returns and the maximum rate of change of sales? Graph N and N' on the same coordinate system.
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