document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=737640>Question 737640</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer wishes to make three equal sized rectangular corrals.  The outside fence costs $3/ft and the inside fence costs $1/ft.  If she has $1200 to spend on the corrals, what dimensions will provide the corrals of greatest area?  {All three are drawn right next to each other-picture three hersheys chocolate bars lined up long side by long side; the outside perimeter  would be X (for the long edge) and Y (for the 3 short ends)  Hope that helps and does not confuse.} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #450564 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=450564\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A farmer wishes to make three equal sized rectangular corrals.<BR>\n" );
document.write( " The outside fence costs $3/ft and the inside fence costs $1/ft.<BR>\n" );
document.write( " If he has $1200 to spend on the corrals, what dimensions will provide the corrals of greatest area?<BR>\n" );
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document.write( "The fence consists of 3 widths and 2 lengths, one width will cost $1 a foot<BR>\n" );
document.write( "the other two cost $3, as does the 2 lengths<BR>\n" );
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document.write( "3(2L) + 3(2W) + 1(W) = 1200<BR>\n" );
document.write( "6L + 6W + W = 1200<BR>\n" );
document.write( "6L + 7W = 1200<BR>\n" );
document.write( "6L = 1200-7W<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281200-7W%29%2F6 ALIGN=MIDDLE  ALT=\"%281200-7W%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Area = L * W<BR>\n" );
document.write( "replace L<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281200-7W%29%2F6 ALIGN=MIDDLE  ALT=\"%281200-7W%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > * W<BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281200W-7W%5E2%29%2F6 ALIGN=MIDDLE  ALT=\"%281200W-7W%5E2%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both coefficients by 6, write it as a quadratic equation <BR>\n" );
document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2F6 ALIGN=MIDDLE  ALT=\"-7%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >W^2 + 200W<BR>\n" );
document.write( "Max area occurs on the axis of symmetry, find that with x =-b/(2a)<BR>\n" );
document.write( "w = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-200%2F%282%2A%28-7%2F6%29%29 ALIGN=MIDDLE  ALT=\"-200%2F%282%2A%28-7%2F6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "using decimals here<BR>\n" );
document.write( "w = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-200%29%2F-2.33 ALIGN=MIDDLE  ALT=\"%28-200%29%2F-2.33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "w ~ 85.7 ft is the width<BR>\n" );
document.write( "Find the length<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281200-7%2885.7%29%29%2F6 ALIGN=MIDDLE  ALT=\"%281200-7%2885.7%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "do the math<BR>\n" );
document.write( "L ~ 100 ft is length for max area for $1200<BR>\n" );
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document.write( "You should check this out for math errors <BR>\n" );
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