A company estimates that it will sell N(x) units of a product after spending thousands on advertising, as given by N(x) = -0.25x^4 + 22x^3 - 432x^2 + 80,000, where 18 < x < 48. How many thousands of dollars is the point of diminishing returns?
Added by Kerri S.
Step 1
Given N(x) = -0.25x^4 + 22x^3 - 432x^2 + 80,000, the first derivative is N'(x) = -x^3 + 66x^2 - 864x. Taking the derivative of N'(x), we get the second derivative N''(x) = -3x^2 + 132x - 864. Show more…
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