Suppose the revenue from producing and selling x units of a given product is given by R(x)=10x-0.02x^2

Question

a) Find the number of units produced if the revenue is $800.

I really need help with this, I don't know what to do?

Answer 1

just set R(x) = 800

800 = 10x - .02x^2
.02x^2 - 10x + 800 = 0

using the quad formula

x = (10 ± √36)/.04 , ahhh it would have factored
= (10 ± 6)/.04
= 400 or 100 units

Answer 2

The answer that I have to this question is 1000 units, I am confused.

Answer 3

sub in your answer
R(1000) = 10(1000) - .02(1000)^2 = -10 000

my answers
R(400) = 10(400) - .02(400)^2 = 800
R(100) = 10(100) - .02(100)^2 = 800

Why are you confused?

how did you possible get 1000?

Answer 4

I know I am getting the answer as you did, but the solution that I have with the question that says 1000