SOLUTION: THE COST IN MILLIONS OF DOLLARS FOR A COMPANY TO MANUFACTUREX THOUSAND AUTOMOBILES IS GIVEN BY THE FUNCTION C(X)=4X^2-16X+32. fIND THE NUMBER OF AUTOMOBILES THAT MUST BE PRODUCED T
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Question 1147314: THE COST IN MILLIONS OF DOLLARS FOR A COMPANY TO MANUFACTUREX 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 by ikleyn(52772) (Show Source):
For any quadratic function y = ax^2 + bx + c with positive value of the leading coefficient "a", it achieves the minimum at
x = .
In your case, a= 4, b= -16, so it achieves the minimum at x= = = 2.
ANSWER. 2 thousand automobiles
