document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207825>Question 1207825</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use graphical methods and the corner point theorem to maximize z=x+5y subject to 3x+2y<12  <BR>\n" );
document.write( "2x+y<7  <BR>\n" );
document.write( "x>0  <BR>\n" );
document.write( "y<0<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 #845946 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52866)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "use graphical methods and the corner point theorem to maximize z=x+5y subject to 3x+2y<12<BR>\n" );
document.write( "2x+y<7<BR>\n" );
document.write( "x>0<BR>\n" );
document.write( "y<0<BR>\n" );
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document.write( "With the inequality signs written/presented in your post, &nbsp;function &nbsp;&nbsp;z = x + 5y &nbsp;&nbsp;has no maximum <BR>\n" );
document.write( "in the feasibility domain.\r<BR>\n" );
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document.write( "So, &nbsp;the problem, &nbsp;as formulated in the post, &nbsp;does not have a solution, &nbsp;at all.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The corner points theorem is inapplicable in this case, &nbsp;since the corner points,\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;defined by inequalities in your post, do not belong to the feasibility domain.\r<BR>\n" );
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document.write( "In order for the problem be meaningful and would have a solution, &nbsp;the problem should be &nbsp;RE-formulated <BR>\n" );
document.write( "and the inequality signs should be changed.\r<BR>\n" );
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document.write( "So, &nbsp;guided by these my notices, &nbsp;double check your post, &nbsp;comparing it with the source.\r<BR>\n" );
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document.write( "If the problem, &nbsp;as written in your post, &nbsp;coincide with the source, &nbsp;then the problem is a &nbsp;TRAP &nbsp;and has no solution.\r<BR>\n" );
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document.write( "In case, &nbsp;if you detect errors in your post, &nbsp;fix them and re-post the fixed version to the forum.\r<BR>\n" );
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document.write( "If you do it, then please do not post the problem to me in person - re-post as you usually post to this forum,<BR>\n" );
document.write( "through the central gate.\r<BR>\n" );
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document.write( "As the lesson to learn for the future, &nbsp;memorize that &nbsp;Math does not tolerate inaccuracy.\r<BR>\n" );
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