SOLUTION: The cost in millions of dollars for a company to manufacture x thousand automobiles is given by the function C(x)=3x^2 - 24x + 144. Find the number of automobiles that must be prod

Question 536414: The cost in millions of dollars for a company to manufacture x thousand automobiles is given by the function C(x)=3x^2 - 24x + 144. Find the number of automobiles that must be produced to minimize the cost
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

Set equal to zero to locate roots
The minimum will be exactly
midway between the 2 roots

Divide both sides by

This is in the form

The x value at the minimum will be at

4 thousand produced will minimize cost, C(x)
here's a plot:

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