# Marginal Cost

• August 10th 2010, 09:01 PM
bobsanchez
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.
• August 10th 2010, 11:10 PM
CaptainBlack
Quote:

Originally Posted by bobsanchez
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.

Yet another variant of the fundamental theorem of calculus:

$\displaystyle c(b)-c(a)=\int_a^b c'(x)\; dx$
• August 11th 2010, 03:36 AM
HallsofIvy
Quote:

Originally Posted by bobsanchez
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.

It would be better to first show what you tried.