document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202487>Question 1202487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Word Problems involving Optimization (Derivatives)\r<BR>\n" );
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document.write( "A poster must have a printed area of 781.25 cm^2. It will have top and bottom margins that are 5 cm each and side margins that are 4 cm each. If all the dimensions of the printed area are at least 25 cm but at most 35 cm, what are the dimensions of the whole poster with the smallest total area? Show your solution.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837373 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13215)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "While the answer from tutor @mananth is not correct, there is no need to disparage it, as the other tutor did.  The solution is fine as far as it goes, except for the last careless calculation.  And it doesn't complete the problem....<br><BR>\n" );
document.write( "Without repeating the work that tutor @mananth shows....<BR>\n" );
document.write( "x = 25<BR>\n" );
document.write( "y = 781.25/25 = 31.25<br><BR>\n" );
document.write( "The dimensions of the printed area are 25 by 31.25 cm.<br><BR>\n" );
document.write( "The area of the whole poster, with margins 4 cm on the sides and 5 cm on top and bottom, is then either 35 by 39.25 cm or 33 by 41.25 cm.<br><BR>\n" );
document.write( "By a general principle the second option gives the smaller area.<br><BR>\n" );
document.write( "ANSWER: 33 by 41.25 cm<br><BR>\n" );
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