document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=23660>Question 23660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help figuring out the following quadratic word problem, I am totally confused by this problem.\r<BR>\n" );
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document.write( "Minimum Cost:\r<BR>\n" );
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document.write( "It costs Acme Manufacturing C dollars per hour to operate its golf ball division. An analyst has determined that C is related to the number of golf balls produced per hour, x, by the equation C = 0.009x^2 - 1.8x + 100. What number of balls per hour should Acme produce to minimize the cost per hour of manufacturing these golf balls?\r<BR>\n" );
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document.write( "Any help or explanation will be greatly appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #12457 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=12457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> C = 0.009x^2 - 1.8x + 100<BR>\n" );
document.write( "COMBINE X^2 AND X TERMS TO FIT A PERFECT SQUARE<BR>\n" );
document.write( "C=0.1{0.09X^2-18X}+100<BR>\n" );
document.write( "C=0.1{(0.3X)^2-2*(0.3X)*30+30^2-30^2}+100<BR>\n" );
document.write( "C=0.1{(0.3X-30)^2}+100-90<BR>\n" );
document.write( "C=0.1{(0.3X-30)^2}+10<BR>\n" );
document.write( "HENC C WILL BE MINIMUM IF {(0.3X-30)^2}IS MINIMUM WHICH BEING PERFECT SQUARE WILL BE MINIMUM ZERO WHEN 0.3X=30...OR...X=30/0.3=300/3=100...THAT IS WHEN 100 BALLS ARE MADE PER HOUR....THE MINIMUM COST IS C=10... </SPAN>\n" );
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