Problema Solution

A revenue R received for selling x stereos is given by the formula R=-1/5x^2+80x-1000. How many stereos must be sold to obtain the maximum revenue? What is the maximum revenue?

Answer provided by our tutors

R=-1/5x^2+80x-1000 by differentiate w.r.t x

dR/dx=-2/5x+80

for max. revenue dR/dx = 0, then

-2/5x+80=0

x=200