document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #426716 by mouk(232) $\"\"$ $\"About$

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Let $\"+C=0.004n%5E2-3.2n+%2B660+\"$
\n" ); document.write( "then $\"+dC%2Fdn+=+%282%29%280.004n%5E1%29+-+3.2+=+0.008n+-+3.2+\"$ \r
\n" ); document.write( "\n" ); document.write( "Critical values occur when $\"+dC%2Fdn+=+0+\"$
\n" ); document.write( "so, $\"+0.008n+-+3.2+=+0+\"$
\n" ); document.write( " $\"+0.008n+=+3.2+\"$
\n" ); document.write( " $\"+n+=+3.2%2F0.008+=+400+\"$ \r
\n" ); document.write( "\n" ); document.write( "Does $\"+n+=+400+\"$ correspond to a max or min?\r
\n" ); document.write( "\n" ); document.write( "Look at the second derivative:
\n" ); document.write( " $\"+dC%2Fdn+=+0.008n+-+3.2+\"$ so then $\"+d%5E2C%2Fdn%5E2+=+0.008+\"$
\n" ); document.write( "which is +ve so critical point is a MINIMUM\r
\n" ); document.write( "\n" ); document.write( "Hence, minimum cost occurs when $\"+n+=+400+\"$ so minimum cost is found by putting $\"+n+=+400+\"$ in original equation\r
\n" ); document.write( "\n" ); document.write( "Giving minimum cost = 20 \n" ); document.write( "

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