document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=977586>Question 977586</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using the following system of inequalities find the maximum value of f(x,y) =3x+1y\r<BR>\n" );
document.write( "\n" );
document.write( "X&#8805;0<BR>\n" );
document.write( "Y&#8805;0<BR>\n" );
document.write( "3x+2y&#8804;18<BR>\n" );
document.write( "6x+7y&#8804;42 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #599125 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=599125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First find the feasible region.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=dd9.JPG\">.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The extrema occur at the vertices.<BR>\n" );
document.write( "(0,0) : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=3%280%29%2B1%280%29=0 ALIGN=MIDDLE  ALT=\"f=3%280%29%2B1%280%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(0,9) : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=3%280%29%2B1%289%29=9 ALIGN=MIDDLE  ALT=\"f=3%280%29%2B1%289%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(7,0) : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=3%287%29%2B1%280%29=highlight%2821%29 ALIGN=MIDDLE  ALT=\"f=3%287%29%2B1%280%29=highlight%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(14/3,2) : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=3%2814%2F3%29%2B1%282%29=16 ALIGN=MIDDLE  ALT=\"f=3%2814%2F3%29%2B1%282%29=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );