Question 427096
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Hi
The cost in millions of dollars for a company to manufacture x thousand
 automobiles is given by the function C(x)=4x^2-24x+81.
Find the number of autromobiles that must be produced to minimize cost.
4x^2-24x+81   |parabola opening upward. completing the square to find the vertex
c(x)= 4[(x-3)^2 -9] + 81
c(x)= 4(x-3)^2 - 36 + 81
c(x)= 4(x-3)^2 + 45  Vertex(3,45)   x= 3  OR 3000 automobiles