Question 1030362
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Since the marginal cost function is the derivative of the cost function, the cost function must be the integral of the marginal cost function.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  C(x)\ +\ C\ =\ \int\,C'(x)\,\text{d}x\ =\ \int\,x^{\frac{1}{3}}\ +\ 6\,\text{d}x\ ]


where


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  C(8)\ =\ 112]


Perform the integration and then substitute $112 for *[tex \Large\ C(x)] and 8 for *[tex \Large x].  Then solve the resulting equation for the constant of integration.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it

*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  

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