document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029100>Question 1029100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Calculus:\r<BR>\n" );
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document.write( "A fence must be built to enclose a rectangular area of 5000 ft^2. Fencing material costs $1 per foot for the two sides facing north and south and &#8203;$2 per foot for the other two sides. <BR>\n" );
document.write( "Find the cost of the least expensive fence. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644144 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=644144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A fence must be built to enclose a rectangular area of 5000 ft^2. Fencing material costs $1 per foot for the two sides facing north and south and &#8203;$2 per foot for the other two sides. <BR>\n" );
document.write( "Find the cost of the least expensive fence. <BR>\n" );
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document.write( "Area:: w*h = 5000<BR>\n" );
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document.write( "Cost = 2(h + 2w)<BR>\n" );
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document.write( "Substitute for h::<BR>\n" );
document.write( "C(w) = 2(5000/w + 2w)<BR>\n" );
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document.write( "C(w) = 10,000/w + 4w<BR>\n" );
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document.write( "Take the derivative:<BR>\n" );
document.write( "C'(w) = 10000(-1/w^2) + 4<BR>\n" );
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document.write( "Solve:: -10000/w^2 = -4<BR>\n" );
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document.write( "w^2 = 2500<BR>\n" );
document.write( "width = 50 ft ; so cost is 2*($2)50 = $200<BR>\n" );
document.write( "height = 5000/50 = 100 ft ; so cost is 2($1)100 = $200 <BR>\n" );
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document.write( "Total cost = $400.00<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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