document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023175>Question 1023175</A>: <I><SPAN STYLE=\"word-break: break-all;\"> maximize Z=8x+7y subject to 3x+y&#8804;66  ,x+y&#8804;45  ,x&#8804;20 ,y&#8804;40,x,y&#8805;0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638786 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solution by the graphical method.  (Typesetting here of simplex method would be brutal.  The graphical method is a little less difficult, but the region of feasibility will not be reproduced.)\r<BR>\n" );
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document.write( "The region of feasibility would be a hexagon (six-sided) figure with the following corner points (in ccw direction):<BR>\n" );
document.write( "(0,0), (20,0), (20,6), (21/2,69/2), (5,40), and (0,40).<BR>\n" );
document.write( "For (0,0), Z = 0<BR>\n" );
document.write( "For (20,0), Z = 8*20 = 160<BR>\n" );
document.write( "For (20,6), Z = 202<BR>\n" );
document.write( "For (21/2,69/2), Z = 325.5<BR>\n" );
document.write( "For (5,40), Z = 320, and <BR>\n" );
document.write( "For (0,40), Z = 280<BR>\n" );
document.write( "By the fundamental theory of linear programming the maximum exists at the point (21/2,69/2) with a Z value of 325.5. </SPAN>\n" );
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