Question

How do you find the marginal cost of

C(x)= 4x R(x)= 8-0.001x^2

Answer 1

dC/dx=4=marginal cost

Answer 2

I thought it was just the derivative but I am confused since there are 2 equations.....
I also have to find marginal revenue and marginal profit so maybe that is why there is a 2nd equation??

Answer 3

Oh so it is just the derivative. How would you find marginal revenue then please?

Answer 4

dR/dx=-0.002x=marginal revenue

Answer 5

but I guess R and C should changed to each other.

Answer 6

meant C=8-0.001x2
R=4x

Answer 7

The original equation was 8x-0.001x^2 but I see. So then the marginal profit would be what?

Answer 8

Pi=R-C
dR/dx=dC/dx->8-0.002x=4->x=4/0.002=2000

Answer 9

Oh ok I understand. Thank you!!