document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83945>Question 83945</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a Linear Programming question\r<BR>\n" );
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document.write( "Find the soloution for <BR>\n" );
document.write( "Maximizing Z = 2X+Y subject to constraints X is greater then or equal to 0;  Y is greater then or equal to 0; x + 2y less then or equal to 4\r<BR>\n" );
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document.write( "Maimum Z =\r<BR>\n" );
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document.write( "Soloution = (   ,   ) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60465 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=60465\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the solution for <BR>\n" );
document.write( "Maximizing Z = 2X+Y subject to constraints X is greater then or equal to 0; <BR>\n" );
document.write( "Y is greater then or equal to 0;<BR>\n" );
document.write( "Comment: These two constraints limit the solution to the 1st Quadrant.<BR>\n" );
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document.write( "x + 2y less then or equal to 4<BR>\n" );
document.write( "Solve for y and graph:<BR>\n" );
document.write( "y <=(-1/2)x+2<BR>\n" );
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document.write( "Find the intersections of the three inequalities:<BR>\n" );
document.write( "Then are (0,0), (0,2) and (4,0)<BR>\n" );
document.write( "Evaluate Z=2x+y for each of these intersection points:<BR>\n" );
document.write( "(0,0) Z = 0<BR>\n" );
document.write( "(0,2) Z = 2<BR>\n" );
document.write( "(4,0) A = 8<BR>\n" );
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document.write( "The maximum occurs when x=4 and y=0<BR>\n" );
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document.write( "Cheer,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "Maimum Z =\r<BR>\n" );
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document.write( "Soloution = (   ,   ) </SPAN>\n" );
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