document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085907>Question 1085907</A>: <I><SPAN STYLE=\"word-break: break-all;\"> here is linear programming question I am having trouble with. Can you show me how to solve this problem in the most easy to use fashion?\r<BR>\n" );
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document.write( "For the following Linear Programming problem answer the questions (a) to (e) below:<BR>\n" );
document.write( "		Max Z = 3x + 2y<BR>\n" );
document.write( "		Subject to:<BR>\n" );
document.write( "		2x + y <= 8<BR>\n" );
document.write( "		x + y >= 4<BR>\n" );
document.write( "		y <= 10<BR>\n" );
document.write( "		x, y >= 0\r<BR>\n" );
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document.write( "(a)	Solve the problem to find the optimum solution. Clearly label and show the feasible solution space on your diagram.\r<BR>\n" );
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document.write( "(b)	Over what range can the coefficient for the first product vary in the objective function before the current solution is no longer optimal?\r<BR>\n" );
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document.write( "(c)	Over what range can the coefficient for the second product vary in the objective function before the current solution is no longer optimal?\r<BR>\n" );
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document.write( "(d)	Compute the shadow prices for the constraints.\r<BR>\n" );
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document.write( "(e)	Calculate the Right Hand Side Ranges for the constraints.<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 #700271 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=700271\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=99.JPG\">.<BR>\n" );
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document.write( "The feasible region is shown in purple with vertices of (0,4), (0,8), and (4,0).<BR>\n" );
document.write( "Check the value of Z at these three vertices to find the maximum value.<BR>\n" );
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document.write( "The sensitivity analysis required in the remaining questions is beyond the scope of this website. </SPAN>\n" );
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