document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1088107>Question 1088107</A>: <I><SPAN STYLE=\"word-break: break-all;\">    2.	Consider the Linear programming formulation below:<BR>\n" );
document.write( "Minimize cost = $1X1 + $2X2\r<BR>\n" );
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document.write( " Subject to:<BR>\n" );
document.write( "	  X1 + 3X2 &#8805; 90\r<BR>\n" );
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document.write( "	8X1 +2X2 &#8805; 160\r<BR>\n" );
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document.write( "	3X1 + 2X2 &#8805; 120\r<BR>\n" );
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document.write( "	            X2 &#8804; 70<BR>\n" );
document.write( "X1 X2 &#8805; 0<BR>\n" );
document.write( "d.	 Solve the above linear programming model, using corner point graphical approach. Indicate your corner points coordinates on the graph.    	<BR>\n" );
document.write( "e.	Shade your feasible region and determine the best combination of X1 and X2 that yields the highest profit.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702388 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=702388\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph the constraints to identify the feasible region, I will use software that uses x,y instead of x1,x2.<BR>\n" );
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document.write( "The feasible region is unbounded however since you're looking for minimum value of an addition of two variables, larger positive numbers will not give you smaller values.<BR>\n" );
document.write( "Check the value at the vewrtices: <BR>\n" );
document.write( "(0,90)<BR>\n" );
document.write( "(0,80)<BR>\n" );
document.write( "(4,48)<BR>\n" );
document.write( "(40,0)<BR>\n" );
document.write( "I'll do one you do the other three. <BR>\n" );
document.write( "One of the values will provide a minimum.<BR>\n" );
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document.write( "Do the same for the others.\r<BR>\n" );
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