document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30517>Question 30517</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am doing Linear Programming and need help with finding the vertecies so i can find the odjective functions. This is what my problem looks like:\r<BR>\n" );
document.write( "\n" );
document.write( "Find the Maximum and minimum values if they exist of C=3x+4y for each set of constrainst.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%3Cx%3C8+ ALIGN=MIDDLE  ALT=\"+3%3Cx%3C8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%3Cy%3C6+ ALIGN=MIDDLE  ALT=\"+2%3Cy%3C6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2By%3E12+ ALIGN=MIDDLE  ALT=\"2x%2By%3E12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > -and these are all greater than or equal to signs or a less than or egual to sign.<BR>\n" );
document.write( "                                                          Thank You very much.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17191 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17191\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  am doing Linear Programming and need help with finding the vertecies so i can find the odjective functions. This is what my problem looks like:\r<BR>\n" );
document.write( "\n" );
document.write( "Find the Maximum and minimum values if they exist of C=3x+4y for each set of constrainst.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%3Cx%3C8+ ALIGN=MIDDLE  ALT=\"+3%3Cx%3C8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%3Cy%3C6+ ALIGN=MIDDLE  ALT=\"+2%3Cy%3C6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2By%3E12+ ALIGN=MIDDLE  ALT=\"2x%2By%3E12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "PLOT GRAPHS FOR ALL LIMITING VALUES TAKING THEM AS EQUAL TO SIGNS...THAT IS <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-2%2C+10%2C+-2%2C+10%2C+%28x-3%29%2F0.00001%2C%28x-8%29%2F0.00001%2C2%2C6%2C12-2%2Ax%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " YOU CAN SEE FROM THE GRAPH THAT THE VERTICES ARE (3,2),(3,6) AND (5,2)...HOPE YOU CAN CONTINUE FROM HERE..                <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );