document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1009763>Question 1009763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Poster is to be designed with 50 in^2 of printed type, 4 inch margins on both the top and the bottom, and 2 inch margins on each side. Find the dimensions of the poster which minimize the amount of paper used </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #625289 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=625289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw the picture.  x and y dimensions of the poster.  x for horizontal, y for vertical.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=xy ALIGN=MIDDLE  ALT=\"A=xy\"   DISABLED_style= \"max-width:90%; height:auto;\" >  for area function;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%2A2%29%28y-2%2A4%29=50 ALIGN=MIDDLE  ALT=\"%28x-2%2A2%29%28y-2%2A4%29=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use the print-type region equation, .... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=50%2F%28x-4%29%2B8 ALIGN=MIDDLE  ALT=\"y=50%2F%28x-4%29%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substituting into A, omitting to show the steps here,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28A%28x%29=%2850x%29%2F%28x-4%29%2B8x%29 ALIGN=MIDDLE  ALT=\"highlight_green%28A%28x%29=%2850x%29%2F%28x-4%29%2B8x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Taking derivative of that in preparation to find optimized values,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dA%2Fdx=%28%28x-4%2950-50x%2A1%29%2F%28x-4%29%5E2%2B8 ALIGN=MIDDLE  ALT=\"dA%2Fdx=%28%28x-4%2950-50x%2A1%29%2F%28x-4%29%5E2%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and again omitting further algebra steps for the derivative,...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28dA%2Fdx=%288x%5E2-64x-72%29%2F%28x-4%29%5E2%29 ALIGN=MIDDLE  ALT=\"highlight_green%28dA%2Fdx=%288x%5E2-64x-72%29%2F%28x-4%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Set that equal to 0, solve for x, and find corresponding y value.\r<BR>\n" );
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document.write( "Focus on the numerator to be set to 0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E2-64x-72=0 ALIGN=MIDDLE  ALT=\"8x%5E2-64x-72=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-8x-9=0 ALIGN=MIDDLE  ALT=\"x%5E2-8x-9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-9%29%28x%2B1%29=0 ALIGN=MIDDLE  ALT=\"%28x-9%29%28x%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The meaningful value for x is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=9%29 ALIGN=MIDDLE  ALT=\"highlight%28x=9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Use that to find y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=50%2F%289-4%29%2B8 ALIGN=MIDDLE  ALT=\"y=50%2F%289-4%29%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=18%29 ALIGN=MIDDLE  ALT=\"highlight%28y=18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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