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November 25th, 2011, 11:55 AM   #1
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Cost function

The marginal cost for a product is MC=40 + x^2. Find the cost function if the cost for 6 units is $500.

I'm not sure exactly what to do with this one. I would think that you simply find the integral of MC to get the cost function, but the 6 units for 500 leads me to belive that's not so. What do i do?
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November 25th, 2011, 01:15 PM   #2
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Math Focus: Calculus/ODEs
Re: Cost function

We are essentially given the initial value problem:

where

Thus, we may write:





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