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 measured in dollars. What is the max revenue?

Answer 1

vertex formula

Answer 2

go on

Answer 3

yes

Answer 4

i have the possibilities if that would be any help

Answer 5

sure

Answer 6

$ 800
$ 1600
$ 128000
$ 384000
$ 256000

Answer 7

ok

Answer 8

128000 is the answer..

Answer 9

okay.. i am right.. thanks for the practice.. 128000
i'll have to remember this for my physics test when determining the max height of a projectile

Answer 10

1. recognize it is a parabola and use the vertex formula
or take the function of its first derivative
\[R(x)=320x-.2x^2 \]
\[x = -b/2a \rightarrow -(320/(2(-.2)))\]
x=800
plug in x to find R(x)
\[R(800)=320x-.2x^2 =128000\]