document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43307>Question 43307</A>: <I><SPAN STYLE=\"word-break: break-all;\">      Find the maximum value of<BR>\n" );
document.write( "z = 7x + 3y<BR>\n" );
document.write( "subject to the contraints<BR>\n" );
document.write( "x >= 0<BR>\n" );
document.write( "y >= 0<BR>\n" );
document.write( "2x + y <= 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28331 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=28331\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you graph the three inequalities, you get a shaded right triangle whose vertices are at (0, 0), (2, 0), and (0, 4)<BR>\n" );
document.write( "The maximum of 7x + 3y is found when x = 2...there y = 0 and the value is 14.<BR>\n" );
document.write( "If you solve 2x + y <= 4 for y and plug it in, you get x + 12 as a max, again found by letting x = 2, and the value is 14... </SPAN>\n" );
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