document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=197946>Question 197946</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Value of c=2x-y subject to the constraints:\r<BR>\n" );
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document.write( "x>=1<BR>\n" );
document.write( "x<=4<BR>\n" );
document.write( "y<=8<BR>\n" );
document.write( "x-3y<=-2\r<BR>\n" );
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document.write( "The last constraint really confuses me. Thanks for your time. Mike </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148473 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=148473\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simply graph every inequality on the xy plane. These graphs will form a closed polygon. It turns out that the values that will optimize \"c\" will be the x and y values that are at the vertices. So simply plug in the x and y values at the vertices to see which value yields the largest/smallest value of \"c\". Let me know if this makes sense. </SPAN>\n" );
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