document.write( "Question 1096737: Can someone please check what I am doing wrong here in this question. Thank you.\r
\n" ); document.write( "\n" ); document.write( "When no more than 110 units are produces, the cost of producing y unites is given by C(x)
\n" ); document.write( "C(x)=0.2x^3-25x^2+1504x+26,057
\n" ); document.write( "How many units should be produced in order to have the lowest possible average cost?\r
\n" ); document.write( "\n" ); document.write( "This is what I did:
\n" ); document.write( "I divided by x
\n" ); document.write( "0.2x^3/x-25x^2/x+1504x/x+26,057\r
\n" ); document.write( "\n" ); document.write( "Now, I put this on google search to get the graph but I have no idea how to find exactly the lowest number. So I move the line while Y decreasing right? And what I see, the lowest number is 62.5, but that's not correct answer. Can someone please explain me this part?
\n" ); document.write( "Thank you very much.
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Algebra.Com's Answer #711133 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
\"graph%28300%2C300%2C-10%2C110%2C-300%2C30000%2C%280.2x%5E3-25x%5E2%2B1504x%2B26057%29%2Fx%29\"
\n" ); document.write( "\"graph%28300%2C300%2C50%2C90%2C-300%2C10000%2C%280.2x%5E3-25x%5E2%2B1504x%2B26057%29%2Fx%29\"
\n" ); document.write( "One may graph (0.2x^3-25x^2+1504x+26057)/x; each term divided by x
\n" ); document.write( "or one may graph 0.2x^2-25x+1504+(26057/x, and I get 74.3 for x and 1104 for the average cost.
\n" ); document.write( "In what you have written, the 26057 needs also to be divided by x.
\n" ); document.write( "Either way, on a graphing calculator the first function, all divided by x and the second function, where each separate term is divided by x, gives the same curve, as it should.
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