document.write( "Question 473026: Aki's Bicycle Design has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.5x^2 - 1.5x + 6.736, 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( "The shop should build ____ bicycles. \n" ); document.write( "

Algebra.Com's Answer #324337 by ccs2011(207) $\"\"$ $\"About$

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For a positive quadratic equation which has an upward parabola, the minimum value is at the vertex.
\n" ); document.write( "To find the vertex of a parabola use formula formula for finding line of symmetry when equation is in standard form.
\n" ); document.write( " $\"x+=+%28-b%29%2F2a\"$
\n" ); document.write( " $\"x+=+%28-%28-1.5%29%29%2F%282%28.5%29%29\"$
\n" ); document.write( " $\"x+=+1.5\"$
\n" ); document.write( "remember x is in hundreds
\n" ); document.write( "Therefore to minimize avg cost, 150 bicycles should be built \n" ); document.write( "

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