The marginal cost of manufacturing x yards of a certain fabric is C′(x)=3−0.01x+0.000006x2 (in dollars per yard). Find the increase in cost if the production level is raised from 3500 to 8500 yards.

Question

Increase in cost =

Answer 1

wold that not be just the integral of C' from 3500 to 8500?

Just use the power rule for each term.

Answer 2

The marginal cost of manufacturing x yards of a certain fabric is C′(x)=3−0.01x+0.000006x2 (in dollars per yard). Find the increase in cost if the production level is raised from 2500 to 6500 yards

Answer 3

621000