document.write( "Question 598646: Aki's bicycle design has determined that when x hundred bicycles are built, the average cost of bicycles is given by C(x)=0.2x^2-1.8x+8.815, 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( "

Algebra.Com's Answer #378657 by nerdybill(7384) $\"\"$ $\"About$

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Aki's bicycle design has determined that when x hundred bicycles are built, the average cost of bicycles is given by C(x)=0.2x^2-1.8x+8.815, where C(x) is in hundreds of dollars. How Many bicycles should the shop build to minimize the average cost per bicycle?
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\n" ); document.write( "Looking at:
\n" ); document.write( "C(x)=0.2x^2-1.8x+8.815
\n" ); document.write( "We know the minimum is at the vertex because the equation is a quadratic (2nd degree) thus in a form of a parabola that opens upwards (since the coefficient associated with the x^2 term is positive).
\n" ); document.write( ".
\n" ); document.write( "The x value of the vertex is at:
\n" ); document.write( "x = -b/(2a)
\n" ); document.write( "x = -(-1.8)/(2(0.2))
\n" ); document.write( "x = 1.8/0.4
\n" ); document.write( "x = 4.5
\n" ); document.write( "answer:
\n" ); document.write( "cost is minimized when you build 450 (4.5*100)bicycles
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