Suppose the demand function for a product is given by the function:

$\displaystyle {D}{\left({q}\right)}=-{.1}{q}^{{2}}+{76}$
Use integration (or other appropriate methods) to find the following:

(Do no rounding of results until the very end of your calculations. At that point, round to the nearest tenth, if necessary. It may help you to sketch the demand curve, which crosses the horizontal at $\displaystyle {q}={27.57}$.)

A) The total actual revenue for $\displaystyle {q}={9}$ units:
Answer 1:

B) The total possible revenue (for all quantities and prices):
Answer 2:

C) The Consumer's Surplus corresponding to $\displaystyle {q}={9}$ units:
Answer 3:

D) The "Not Sold" value corresponding to $\displaystyle {q}={9}$ units:
Answer 4: