Find the number of units that produces maximum revenue given by

R = 900x-0.1x^2, where R is the total revenue in dollars and x is the number of units sold.

3 answers

the roots of this equation are x=0, x=9000. The max will be half way between (its a parabola).
Now, as an intro to calculus, let me show something: The slope of R at the max is zero (it is a horizontal). Call Slope R' or dR/dx (rate of change of R with x).
R'=d/dx (900x-.1x^2)=0
or 900-.2x=0 or x=4500 at R max.
I want to know the answer pleasee
P =900x-0.1x^2