SOLUTION: Suppose that the cost function for a particular item is given by the equation
C(x) = 2x2 − 360x + 16,420,
where x represents the number of items. How many items should be
Algebra.Com
Question 1011848: Suppose that the cost function for a particular item is given by the equation
C(x) = 2x2 − 360x + 16,420,
where x represents the number of items. How many items should be produced to minimize the cost?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You can determine the minimum by either putting it into vertex form (algebraic method) or by taking the derivative (calculus method).
Vertex:
Convert to vertex form by completing the square.
So now the function is in vertex form.
The minimum of occurs when .
.
.
.
Derivative:
Find the derivative and set it equal to zero.
Then,
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