Respuesta :

C(x)=10000+5x+1/9x^2.

C(x) is a quadratic function (parabolic shape), so the minimum value corresponds to the x-value of the vertex's point.

We find vertex using the fact that the vertex has coordinate x=−b/2a

On this case b = 5

and a =1/9

So, x = -45/2 = −22.5

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