Acompany 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 =