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 + 22x - 432x2 + 75,000, where 18 sxs 48. 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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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" + 22x° - 432x + 75,000,
where 18 <x<48.
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" + 22x° - 432x + 75,000, where 18 <x<48. 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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