document.write( "Question 414284: Aki's Bicycle Designs has determined that when x hundred bicycles are buiklt ,the average cost per bicycle is given by C(x)=0.1x^2-0.2x+3.511,where C(x) is in hundreds of dollars.
\n" ); document.write( "How many bicycles should the shop build to minimize the average cost per bicycle? \n" ); document.write( "

Algebra.Com's Answer #290597 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"C%28x%29+=+.1x%5E2+-+.2x+%2B+3.511\"$
\n" ); document.write( "You want to find the vertex of this curve
\n" ); document.write( "It's in the form
\n" ); document.write( " $\"y+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c\"$
\n" ); document.write( "The vertex is at V(x,y) where $\"x+=+-b%2F%282a%29\"$
\n" ); document.write( " $\"-b%2F%282a%29+=+-%28-.2%29%2F%282%2A.1%29\"$
\n" ); document.write( " $\"-b%2F%282a%29+=+.2%2F.2\"$
\n" ); document.write( " $\"-b%2F%282a%29+=+1\"$
\n" ); document.write( "and
\n" ); document.write( " $\"C%281%29+=+.1%2A1%5E2+-+.2%2A1+%2B+3.511\"$
\n" ); document.write( " $\"C%281%29+=+.1+-+.2+%2B+3.511\"$
\n" ); document.write( " $\"C%281%29+=+3.411\"$
\n" ); document.write( "They should build 100 bicycles to minimize cost, which would be $341.10 per bicycle
\n" ); document.write( "Here's a plot (in hundreds of dollars and hundreds of bicycles)
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-.5%2C+10%2C+-.5%2C+10%2C++.1x%5E2+-+.2x+%2B+3.511%29+\"$ \n" ); document.write( "

\n" );