# Calculus Help and Check

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The marginal cost of manufacturing x yards of a certain fabric is
C'(x) = 3 − 0.01x + 0.000012x2
(in dollars per yard). Find the increase in cost if the production level is raised from 2000 yards to 4000 yards.

\$186,000

• Calculus Help and Check -

calculate C' = dC/dx at x = 2000
then dC = C' dx
dC = C' (4000-2000)

C' = 3 - 20 + 40 = 23

dC = 23 (2000) = 46,000

• Calculus Help and Check -

58,000

• Calculus Help and Check -

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