The demand equation for one type of computer networking system is p=D(q)=500qe −0.0016q 2 where p is the price (in dollars) and q is the quantity of servers sold per month.
(a) Determine the revenue function, R(q).
(b) Determine the critical numbers of R(q).
(c) Use the second derivative test to find the values of q and p that maximize revenue.