Problema Solution
The cost in millions of dollars for a company to manufacture x thousand automobiles is given by the function C(x)=4x^2-16x+32. Find the number of automobiles that must be produced to minimize the cost.
Answer provided by our tutors
The number of automobiles is x
C(x)=4x^2-16x+32 = 4(x^2-4x+8) = 4(x-2)^2 + 16
When x=2, C is minimum
So the number of automobiles that must be produced to minimize the cost is 2