# A company has found that the relationship between the price p and the demand x for a particular product is given approximately by p=1269−0.2x2. The company also knows that the cost of producing the product is given by C(x)=830+398x. (A) Find P(x), the profit function. P(x) = Now use the profit function to do the following: (B) Find the average of the x values of all local maxima of P. Note: If there are no local maxima, enter "none". Average of x values =

###### Question:

A company has found that the relationship between the price p and the demand x for a particular product is given approximately by
p=1269−0.2x2.
The company also knows that the cost of producing the product is given by C(x)=830+398x.
(A) Find P(x), the profit function.
P(x) =
Now use the profit function to do the following:
(B) Find the average of the x values of all local maxima of P.
Note: If there are no local maxima, enter "none".
Average of x values =

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