document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202964>Question 1202964</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the technique developed in this section to solve the minimization problem.<BR>\n" );
document.write( "Minimize 	<BR>\n" );
document.write( "C = x − 6y + z<BR>\n" );
document.write( "subject to 	<BR>\n" );
document.write( "x	 − 	2y	 + 	3z		≤		10<BR>\n" );
document.write( "2x	 + 	y	 − 	2z		≤		15<BR>\n" );
document.write( "2x	 + 	y	 + 	3z		≤		20<BR>\n" );
document.write( "x ≥ 0, y ≥ 0, z ≥ 0  <BR>\n" );
document.write( "The minimum is C =      at (x, y, z) =  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838468 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</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=838468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Use the technique developed in this section to solve the minimization problem.<BR>\n" );
document.write( "Minimize<BR>\n" );
document.write( "C = x − 6y + z<BR>\n" );
document.write( "subject to<BR>\n" );
document.write( "x − 2y + 3z ≤ 10<BR>\n" );
document.write( "2x + y − 2z ≤ 15<BR>\n" );
document.write( "2x + y + 3z ≤ 20<BR>\n" );
document.write( "x ≥ 0, y ≥ 0, z ≥ 0  <BR>\n" );
document.write( "The minimum is C = at (x, y, z) =<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
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document.write( "I don't know which technique was developed in this unknown to me section,<BR>\n" );
document.write( "which you do mention in your post.\r<BR>\n" );
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document.write( "Therefore, I recommend you to go to this (free of charge) online Internet solver\r<BR>\n" );
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document.write( "https://www.zweigmedia.com/RealWorld/simplex.html\r<BR>\n" );
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document.write( "Read the instructions; print there (or copy-paste) your input data in this format\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Minimize C = x − 6y + z subject to\r\n" );
document.write( "x − 2y + 3z <= 10\r\n" );
document.write( "2x + y − 2z <= 15\r\n" );
document.write( "2x + y + 3z <= 20\r\n" );
document.write( "x >= 0, y >= 0, z >= 0  \r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "The solver will give you the solution momentarily \r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp; Optimal Solution: c = 0; x−6y = 0, z = 0\r<BR>\n" );
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document.write( "with all necessary explanations, step by step.<BR>\n" );
document.write( "</pre>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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