What is the maximum revenue, and how many units should be manufactured to obtain this maximum?

Question

A manufacturer finds that the revenue generated from selling x units of a certain commodity is given by
the function R(x) = 80x − 0.4x²

where the revenue R(x) is measured in dollars.

Answer 1

Hi For maximum value of R 

dR/dX = 0

 

So 80 - 0.4*2*X = 0

X= 80/0.8 =100 units

 

R = 80* 100 - 0.4 * 10000 

$4000 = Max revenue