SOLUTION: The revenue R received for selling x stereos is given by the formula R = −(x^2/3) + 70x − 800. How many stereos must be sold to obtain the maximum revenue? Fin

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Question 979714: The revenue R received for selling x stereos is given by the formula
R = −(x^2/3) + 70x − 800.
How many stereos must be sold to obtain the maximum revenue?

Find the maximum revenue.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The revenue R received for selling x stereos is given by the formula
R = −(x^2/3) + 70x − 800.
How many stereos must be sold to obtain the maximum revenue?

Find the maximum revenue.
===================
R = -(x^2/3) + 70x - 800.
Is it x^2/3 ?
Or x^(2/3) ?
--------
Assuming the former:
R = -(x^2)/3 + 70x - 800
dR/dx = -2x/3 + 70 = 0
--> x = 105 stereos for max
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R = -(105^2)/3 + 70*105 - 800
R = $2875 max revenue