Thread: Marginal Cost

The marginal cost of manufacturing x yards of a certain fabric is

C'(x)= 3 - 0.01x + 0.000006x^2 (in dollars per yard). Find the increase in cost if the production level is raised from 1000 yards to 4500 yards.


I tried a couple of different combinations and didn't get any answers resembling the correct one. Can someone show the process, please? I should be able to pinpoint where I'm messing up.

EDIT: New to the forum, and just looked over the rules. To clarify, I tried the following:

c'(4500) - c'(1000)

c(4500) - c(4500)

And I tried some combinations where I took the answers from the top and inserted into the c(x). I would say I messed up with a careless error, but I worked and reworked the math to be entering it wrong or messing up multiplication, etc. Any help is very much appreciated.

The marginal cost is defined as the change in total cost that arises when the quantity produced changes by one unit.

When you increase production from 1000 to 4500, what is the change in the quantity produced?

i think.... or i may be completely wrong

I was making an integration error I believe. Thanks for the help!