SOLUTION: The unit cost in dollars for manufacturing IPODS is given by C(n)=0.004n^2-3.2n +660. what is the minimum cost?

Question 691424: The unit cost in dollars for manufacturing IPODS is given by C(n)=0.004n^2-3.2n +660. what is the minimum cost?
Answer by mouk(232) (Show Source): You can put this solution on YOUR website!
Let
then
Critical values occur when
so,

Does correspond to a max or min?
Look at the second derivative:
so then
which is +ve so critical point is a MINIMUM
Hence, minimum cost occurs when so minimum cost is found by putting in original equation
Giving minimum cost = 20
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