document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153052>Question 153052</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a bike shop determines that when x hundred bikes are built, the average cost per bike is given by c(x)=0.6^2-0.8x+5.854 where c(x) is in hundreds dollars. How many bikes should be built to mininize the average cost per bike.\r<BR>\n" );
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document.write( "c(x)=0.6x^2-0.8x+5.854<BR>\n" );
document.write( "c(x)=0.6(x^2- ?)+5.854\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112502 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=112502\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a bike shop determines that when x hundred bikes are built, the average cost per bike is given by c(x)=0.6^2-0.8x+5.854 where c(x) is in hundreds dollars. How many bikes should be built to mininize the average cost per bike. <BR>\n" );
document.write( "c(x)=0.6x^2-0.8x+5.854<BR>\n" );
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document.write( "Cost is a quadratic with a = 0.6, b = -0.8<BR>\n" );
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document.write( "Minimum cost occurs when x = -b/2a = 0.8/(2*0.6) = 0.2/0.3 = 0.6667<BR>\n" );
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document.write( "# of bikes should be 0.667*100 = 66 or 67\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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