document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=549802>Question 549802</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sorry, I pressed the wrong button before...<BR>\n" );
document.write( "I am lost can someone help with this;\r<BR>\n" );
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document.write( "Given the restraints  x + y <=5<BR>\n" );
document.write( "                                   y >= x<BR>\n" );
document.write( "                                    x >=0<BR>\n" );
document.write( "and the objective Function C = x + y, find the maximum value? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #358101 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=358101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Graph your three constraint inequalities on the same set of coordinates.  The area where the three solution set regions overlap, in this case a triangle with vertices (0,0), (0,5), and (2.5,2.5) is the area of feasibility.  A linear programming theorem states that if an optimum exists it is at a vertex of the feasibility polygon.\r<BR>\n" );
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document.write( "In this case, two of your vertices, namely (0,5) and (2.5,2.5) give the same objective function value, namely 5.  That means any point on the line <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ +\ y\ =\ 5\"> in the interval <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 0\ \leq\ x\ \leq\ 2.5\"> optimizes the objective.\r<BR>\n" );
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document.write( "Any time the boundary of one of your constraint inequalities has the same slope as your objective function, you will likely get into the situation of not having a unique answer.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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