1. ## 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.

2. 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:

$\displaystyle \displaystyle c(b)-c(a)=\int_a^b c'(x)\; dx$

3. 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.