A company estimates that it will sell N(x) units of a product after spending x t

Question

A company estimates that it will sell N(x) units of a product after spending x thousand dollars on advertising, as given by

N(x)=?3x^3+255x^2?3000x+19000,10?x?40.

(A) Use interval notation to indicate when the rate of change of sales N?(x) is increasing.

Note: When using interval notation in WeBWorK, remember that: You use 'I' for ? and '-I' for ??, and 'U' for the union symbol.
If you have extra boxes, fill each in with an 'x'.

N?(x) increasing:

(B) Use interval notation to indicate when the rate of change of sales N?(x) is decreasing.

N?(x) decreasing

(C) Find the average of the x values of all inflection points of N(x).
Note: If there are no inflection points, enter -1000

(D) Find the maximum rate of change of sales.

Maximum rate of change of sales =

Explanation / Answer

N(x)= ?5x

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