document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161668>Question 161668</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Maximum z = 10x1 + 9x2<BR>\n" );
document.write( "subject to: x1 + x2 = 30<BR>\n" );
document.write( "x1 + x2 >= 25<BR>\n" );
document.write( "2x1 + x2 <= 40<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 #119140 by </B><A HREF=/tutors/aboutme.mpl?userid=the_tutor2008><B>the_tutor2008(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=the_tutor2008><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=119140\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=x1 and y=x2\r<BR>\n" );
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document.write( "So the equations are \r<BR>\n" );
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document.write( "z = 10x + 9y,\r<BR>\n" );
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document.write( "x+y= 30,<BR>\n" );
document.write( "x+y>= 25,<BR>\n" );
document.write( "2x+y<= 40\r<BR>\n" );
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document.write( "1) First plot the last three equations (you need to solve for y)\r<BR>\n" );
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document.write( "2) Find the intersections of the three equations. \r<BR>\n" );
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document.write( "3) Plug in the coordinates of the intersection into z = 10x + 9y\r<BR>\n" );
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document.write( "For example one intersection is (10,15) which means that x=10 and y=15.\r<BR>\n" );
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document.write( "The largest value of z will maximize z = 10x + 9y </SPAN>\n" );
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