document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176016>Question 176016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Al Bike shop design has determined that when x hundred bikes are built the average cost per bike is C(x)=0.6x^2-1.3x+5.971, when C(x)is hundreds of dollars. How many bikes should be built in order to have minimum cost?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131163 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=131163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> C(x)=0.6x^2-1.3x+5.971<BR>\n" );
document.write( "Where 'x' is hundreds of bikes<BR>\n" );
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document.write( "Since this is a \"parabola\" with a POSITIVE 'a' coefficient of (0.6) we know that it opens upwards -- therefore, the \"vertex\" of the parabola will give you the \"minimum\".<BR>\n" );
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document.write( "The x coordinate = -b/2a<BR>\n" );
document.write( "Substituting our values:<BR>\n" );
document.write( "The x coordinate = -(-1.3)/(2(.6))<BR>\n" );
document.write( "The x coordinate = (1.3)/(1.2) = 1.083 \"hundreds of bikes\"<BR>\n" );
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document.write( "Therefore, building<BR>\n" );
document.write( "108 bikes -- minimizes costs<BR>\n" );
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