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 =

Which expression shows the result of applying the distributive property to 9(2+5m) 11 + 14m 18 + 45m 18 + 5m 2 + 45m

Complex numbers multiply √-4 * √-25 and show all intermediate steps. alternative notation is sqrt(-4) * sqrt(-25).

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).