document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1098325>Question 1098325</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Aki’s Bicycle designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.5x^2-0.9x+1.861, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #712696 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=712696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C%28x%29+=+.5x%5E2+-+.9x+%2B+1.861+ ALIGN=MIDDLE  ALT=\"+C%28x%29+=+.5x%5E2+-+.9x+%2B+1.861+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "The formula for the x-value of the<BR>\n" );
document.write( "minimum,is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmin%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+x%5Bmin%5D+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+.5+ ALIGN=MIDDLE  ALT=\"+a+=+.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-.9+ ALIGN=MIDDLE  ALT=\"+b+=+-.9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmin%5D+=+%28-%28-.9%29%29+%2F+%28+2%2A.5+%29+ ALIGN=MIDDLE  ALT=\"+x%5Bmin%5D+=+%28-%28-.9%29%29+%2F+%28+2%2A.5+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmin%5D+=+.9%2F1+ ALIGN=MIDDLE  ALT=\"+x%5Bmin%5D+=+.9%2F1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmin%5D+=+.9+ ALIGN=MIDDLE  ALT=\"+x%5Bmin%5D+=+.9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.9%2A100+=+90+ ALIGN=MIDDLE  ALT=\"+.9%2A100+=+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The shop should build 90 bikes to minimize cost<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "Here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-2%2C+7%2C+-3%2C+15%2C+.5x%5E2+-+.9x+%2B+1.861+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-2%2C+7%2C+-3%2C+15%2C+.5x%5E2+-+.9x+%2B+1.861+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Looks about right, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmin%5D+=+.9+ ALIGN=MIDDLE  ALT=\"+x%5Bmin%5D+=+.9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );