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mylen [45]
3 years ago
5

Evaluate r(x) = −0.21x^3 + x^2 − 8.1x − 3 for x = −1 and x = 2.

Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0
Hi, your answer will be 6829.62















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How would I do the steps to solve this?
allsm [11]

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\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\

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-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

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The maximum revenue is 16000 dollars (at p = 40)

3 0
2 years ago
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