SOLUTION: Find the cost function if the marginal cost function is given by C`(x)=(x^1/3) +6 and 8 units cost $112.
C(x)=
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Question 1030362: Find the cost function if the marginal cost function is given by C`(x)=(x^1/3) +6 and 8 units cost $112.
C(x)=
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Since the marginal cost function is the derivative of the cost function, the cost function must be the integral of the marginal cost function.
\ +\ C\ =\ \int\,C'(x)\,\text{d}x\ =\ \int\,x^{\frac{1}{3}}\ +\ 6\,\text{d}x\ )
where
\ =\ 112)
Perform the integration and then substitute $112 for )
and 8 for 
. Then solve the resulting equation for the constant of integration.
John
My calculator said it, I believe it, that settles it
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