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.
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R = -(x^2/3) + 70x - 800.
Is it x^2/3 ?
Or x^(2/3) ?
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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