Question 427096
{{{C(x)=4x^2-24x+81}}}
This function will have a minimum where dC(x)/dx = 0
Taking the derivative, and setting = 0, we have {{{8x - 24 = 0}}}
Solving for x gives, x = 3
So the answer is 3000 automobiles
Here is the graph of the function:
{{{graph(300,200,-10,10,-100,100,4x^2-24x+81)}}}