Question

A manufacturer finds that the revenue generated by selling x gadgets is given by the function R(x)=320x-.2x^2, where the revenue r(x) is measurd in dollars. What is the maximum revenue?

Answer 1

can anyone do this please

Answer 2

Just take the derivative, then solve for when the derivative equals zero. Then plug that solution (s) into your original equation

-.2(2)x+320 = 0

x=320/ 2(.2)

max= 320(320/(2(.2)) - .2 ( 320/ (2(.2)))^2