document.write( "Question 1114779: A company has determined that when x hundred dulcimers are built, the average cost per dulcimer can be estimated by C(x)=0.2xsquared−2.6x+9.950, where C(x) is in hundreds of dollars. What is the minimum average cost per dulcimer and how many dulcimers should be built to achieve that minimum?
\n" ); document.write( "The minimum average cost per dulcimer is $______. Thank you in advance! \n" ); document.write( "

Algebra.Com's Answer #729937 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"C%28x%29=0.2x%5E2-2.6x%2B9.950\"$
\n" ); document.write( "Convert to the vertex form,
\n" ); document.write( " $\"C%28x%29=0.2%28x%5E2-13x%29%2B9.950\"$
\n" ); document.write( " $\"C%28x%29=0.2%28x%5E2-13x%2B%2813%2F2%29%5E2%29%2B9.950-0.2%2813%2F2%29%5E2\"$
\n" ); document.write( " $\"C%28x%29=0.2%28x-13%2F2%29%5E2-1.5\"$
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\n" ); document.write( "The minimum occurs at the vertex.
\n" ); document.write( "So ( $\"13%2F2\"$ , $\"1.5\"$ )
\n" ); document.write( "Multiply both values by 100.
\n" ); document.write( "So building 650 dulcimers, would give you a min cost of $150.\r
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