The price

p
and the quantity
x
sold of a small​ flat-screen television set obeys the demand equation below.
​a) How much should be charged for the television set if there are
80
television sets in​ stock?
​b) What quantity
x
will maximize​ revenue? What is the maximum​ revenue?
​c) What price should be charged in order to maximize​ revenue?
p=-.16x+320

1 answer

revenue is price * quantity, so

R(x) = x*p(x) = x(-.16x+320)
= -.16x^2 + 320x

Now just find the vertex of that parabola to locate maximum revenue.