document.write( "Question 394690: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by $\"C%28x%29=0.1x%5E2-0.4x%2B7.898\"$ , where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?\r
\n" ); document.write( "\n" ); document.write( "The shop should build ___ bicycles. \n" ); document.write( "

Algebra.Com's Answer #280027 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by $\"C%28x%29=0.1x%5E2-0.4x%2B7.898\"$ , where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?
\n" ); document.write( ".
\n" ); document.write( "You simply need to find the vertex of:
\n" ); document.write( " $\"C%28x%29=0.1x%5E2-0.4x%2B7.898\"$
\n" ); document.write( "this occurs when:
\n" ); document.write( "x = -b/(2a)
\n" ); document.write( "x = -(-0.4)/(2*0.1)
\n" ); document.write( "x = (0.4)/(0.2)
\n" ); document.write( "x = 2
\n" ); document.write( ".
\n" ); document.write( "solution: 200 bicycles \n" ); document.write( "

\n" );