document.write( "Question 468320: I asked this question earlier and I still do not understand how to get to my answer. I double checked for accuracy with typing out the question and this is the correct way...
\n" ); document.write( "Aki's Bicycle Designs has determined that when X hundred bicycles are built, the average cost per bicycle is given by C(X)= 0.2x^2-1.9x+8.394, where C(x) is in hundreds of dollars. How many bicycles should the shop build to maximize the average cost per bicycle? \n" ); document.write( "
Algebra.Com's Answer #321387 by lwsshak3(11628)\"\" \"About 
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I asked this question earlier and I still do not understand how to get to my answer. I double checked for accuracy with typing out the question and this is the correct way...
\n" ); document.write( "Aki's Bicycle Designs has determined that when X hundred bicycles are built, the average cost per bicycle is given by C(X)= 0.2x^2-1.9x+8.394, where C(x) is in hundreds of dollars. How many bicycles should the shop build to maximize the average cost per bicycle.
\n" ); document.write( "...
\n" ); document.write( "I assume you meant minimize the average cost per bicycle instead of maximize.
\n" ); document.write( "..
\n" ); document.write( "Standard form for a parabola: y=(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.
\n" ); document.write( "C(x)=0.2x^2-1.9x+8.394
\n" ); document.write( "completing the square
\n" ); document.write( "C(x)=.2(x^2-1.9/.2x)+8.394
\n" ); document.write( "C(x)=.2(x^2-9.5x+(9.5/2)^2)+8.394-.2(9.5/2)^2
\n" ); document.write( "C(x)=.2(x-4.75)^2+8.394-4.513
\n" ); document.write( "C(x)=.2(x-4.75)^2+3.881
\n" ); document.write( "Vertex:(4.75, 3.881)
\n" ); document.write( "Ans:
\n" ); document.write( "The shop must build around 475 bicycles to realize the minimum the average cost per bicycle of around $388. \n" ); document.write( "
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