The marketing research department for a computer company used a large city to test market their new product.
They found that the relationship between the price [math] and the demand [math] was given approximately by [math]

Find [math], the revenue function.

[math] =

Now use the revenue function to do the following:

(A) Find the average of the [math] values of all local maxima of [math].
Note: If there are no local maxima, enter -1000.

Average of [math] values =


(B) Find the average of the [math] values of all local minima of [math].
Note: If there are no local minima, enter -1000.

Average of [math] values =

(C) Use interval notation to indicate where [math] is concave up.

Note: Enter 'I' for [math], '-I' for [math], and 'U' for the union symbol.
If you have extra boxes, fill each in with an 'x'.
Concave up:


(D) Use interval notation to indicate where [math] is concave down.

Concave down: