The marginal cost of manufacturing x yards of a certain fabric is c'(x) = 3 − 0.01x + 0.12x^2 (in dollars per yard). find the increase in cost if the production level is raised from 2000 yards to 4000 yards.

$170,000

Step-by-step explanation:

Integrating the marginal cost function gives us the cost function:

The increase in cost from a raise in the production level, x, from 2000 yards to 4000 yards is given by:

The increase in cost is $170,000.

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).