November 25th, 2011, 11:55 AM  #1 
Newbie Joined: Oct 2011 Posts: 26 Thanks: 0  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? 
November 25th, 2011, 01:15 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Cost function
We are essentially given the initial value problem: where Thus, we may write: 

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