document.write( "Question 480164: Aki's bicycle designs has determined that when x hundred bicycles are built the average cost per bicycle is given by C(x)=0.1x^2-1.1x+7.715 where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bbicycle? \n" ); document.write( "

Algebra.Com's Answer #328878 by nerdybill(7384) $\"\"$ $\"About$

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Aki's bicycle designs has determined that when x hundred bicycles are built the average cost per bicycle is given by C(x)=0.1x^2-1.1x+7.715 where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bbicycle?
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\n" ); document.write( "We know this is a parabola that opens upwards (by looking at the coefficient associated with the x^2 term) -- that is, the vertex will be the minimum.
\n" ); document.write( ".
\n" ); document.write( "x = -b/(2a)
\n" ); document.write( "x = -(-1.1)/(2*0.1)
\n" ); document.write( "x = (1.1)/(0.2)
\n" ); document.write( "x = 5.5
\n" ); document.write( "since x was in terms on hundreds:
\n" ); document.write( "number of bicycles to minimize ave cost is
\n" ); document.write( "5.5*100 = 550
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