SOLUTION: Can someone please check what I am doing wrong here in this question. Thank you. When no more than 110 units are produces, the cost of producing y unites is given by C(x) C(x)=

Algebra ->  Finance -> SOLUTION: Can someone please check what I am doing wrong here in this question. Thank you. When no more than 110 units are produces, the cost of producing y unites is given by C(x) C(x)=      Log On


   

Question 1096737: Can someone please check what I am doing wrong here in this question. Thank you.
When no more than 110 units are produces, the cost of producing y unites is given by C(x)
C(x)=0.2x^3-25x^2+1504x+26,057
How many units should be produced in order to have the lowest possible average cost?
This is what I did:
I divided by x
0.2x^3/x-25x^2/x+1504x/x+26,057
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?
Thank you very much.

Answer by Boreal(15235) About Me  (Show Source):
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
graph%28300%2C300%2C50%2C90%2C-300%2C10000%2C%280.2x%5E3-25x%5E2%2B1504x%2B26057%29%2Fx%29
One may graph (0.2x^3-25x^2+1504x+26057)/x; each term divided by x
or one may graph 0.2x^2-25x+1504+(26057/x, and I get 74.3 for x and 1104 for the average cost.
In what you have written, the 26057 needs also to be divided by x.
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.