document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=288373>Question 288373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A fence is to be built to enclose a rectangular area of 290 square feet. The fence along three sides is to be made of material that costs 4 dollars per foot, and the material for the fourth side costs 15 dollars per foot. Find the length L and width W (with W \leq L) of the enclosure that is most economical to construct.<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 #209065 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=209065\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A fence is to be built to enclose a rectangular area of 290 square feet.<BR>\n" );
document.write( " The fence along three sides is to be made of material that costs 4 dollars per foot, <BR>\n" );
document.write( "and the material for the fourth side costs 15 dollars per foot.<BR>\n" );
document.write( " Find the length L and width W (with W \leq L) of the enclosure that is most economical to construct.<BR>\n" );
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document.write( "Area equation:<BR>\n" );
document.write( "L * W = 290<BR>\n" );
document.write( "W = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=290%2FL ALIGN=MIDDLE  ALT=\"290%2FL\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Perimeter equation<BR>\n" );
document.write( "P = 2L + 2W<BR>\n" );
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document.write( "Cost to enclose<BR>\n" );
document.write( "C = 4(2L) + 4W + 15W<BR>\n" );
document.write( "C = 8L + 19W<BR>\n" );
document.write( "Replace W with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28290%2FL%29 ALIGN=MIDDLE  ALT=\"%28290%2FL%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C = 8L + 19<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28290%2FL%29 ALIGN=MIDDLE  ALT=\"%28290%2FL%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C = 8L + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5510%2FL ALIGN=MIDDLE  ALT=\"5510%2FL\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Plot this equation, L is on the x axis, Cost on the y axis<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+40%2C+-200%2C+1000%2C+8x%2B%285510%2Fx%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+40%2C+-200%2C+1000%2C+8x%2B%285510%2Fx%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Minimum cost when L = 26 ft<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=290%2F26 ALIGN=MIDDLE  ALT=\"290%2F26\"   DISABLED_style= \"max-width:90%; height:auto;\" > ~ 11.15 ft is the width<BR>\n" );
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document.write( "Check area: 26 * 11.15 = 289.9 ~ 290<BR>\n" );
document.write( "Check cost: 4(2*26) + 4(11.15) + 15(11.15) = $419.85 is minimum cost<BR>\n" );
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