document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207236>Question 1207236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following constraints are given for a linear programming problem<BR>\n" );
document.write( "   y + 2x>8<BR>\n" );
document.write( "   3y +2x>18<BR>\n" );
document.write( "    y<2x<BR>\n" );
document.write( "    x>1<BR>\n" );
document.write( "1. Sketch the graph with the given constraints.<BR>\n" );
document.write( "2. Shade the feasible region on the graph.<BR>\n" );
document.write( "3. Find the values of x and y that will maximize the profit if the objective function is P= x + y. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844994 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=844994\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "The following constraints are given for a linear programming problem<BR>\n" );
document.write( "   y + 2x>8<BR>\n" );
document.write( "   3y +2x>18<BR>\n" );
document.write( "    y<2x<BR>\n" );
document.write( "    x>1<BR>\n" );
document.write( "1. Sketch the graph with the given constraints.<BR>\n" );
document.write( "2. Shade the feasible region on the graph.<BR>\n" );
document.write( "3. Find the values of x and y that will maximize the profit if the objective function is P= x + y.<BR>\n" );
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document.write( "As presented in this post, &nbsp;the given objective function has no maximum; &nbsp;so the posed problem has no solution.\r<BR>\n" );
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document.write( "Indeed, &nbsp;it is clear that under given constraints &nbsp;the feasibility domain is the area <BR>\n" );
document.write( "unbounded from the side of great positive x and y; that allows the objective function <BR>\n" );
document.write( "P = x + y  &nbsp;to grow unlimited.\r<BR>\n" );
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document.write( "Thus, &nbsp;the problem is posed &nbsp;INCORRECTLY &nbsp;and &nbsp;HAS &nbsp;NO &nbsp;solution.\r<BR>\n" );
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document.write( "So, &nbsp;either a person who created this &nbsp;\" problem \", &nbsp;is mathematically illiterate in the subject,\r<BR>\n" );
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document.write( "OR &nbsp;this person is extremely inaccurate, &nbsp;OR &nbsp;the problem is extracted from an untrusted source without thinking\r<BR>\n" );
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document.write( "in the hope that there will be a qualified reader who will find and note an error.\r<BR>\n" );
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document.write( "Here &nbsp;\" OR \" &nbsp;is not exclusive: &nbsp;these listed rationalities may come together in different combinations.\r<BR>\n" );
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document.write( "It is what usually happens at this forum every day, &nbsp;and even several times per day.\r<BR>\n" );
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document.write( "Therefore, &nbsp;this cleaning, &nbsp;which I make at this forum daily/regularly, &nbsp;is absolutely necessary <BR>\n" );
document.write( "and deserves the greatest gratitude from visitors.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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