document.write( "Question 499786: Aki's Bicycle Design has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) =0.2x^2-1.2x+10.497, 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 #338586 by lwsshak3(11628) $\"\"$ $\"About$

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Aki's Bicycle Design has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) =0.2x^2-1.2x+10.497, 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( "C(x) =0.2x^2-1.2x+10.497
\n" ); document.write( "complete the square
\n" ); document.write( "C(x) =0.2(x^2-6x+9)+10.497-1.8
\n" ); document.write( "C(x) =0.2(x-3)^2+8.697
\n" ); document.write( "ans:
\n" ); document.write( "The shop should build 300 bicycles to minimize the average cost per bicycle
\n" ); document.write( "see graph below as a visual of the cost curve.\r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+20%2C0.2x%5E2-1.2x%2B10.497%29+\"$ \n" ); document.write( "

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