document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1098301>Question 1098301</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELPPP!!!! DUE TOMORROW!!:<BR>\n" );
document.write( "Given that $-3 \le 7x + 2y \le 3$ and $-4 \le y - x \le 4$, what is the maximum possible value of $x + y$? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #716696 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=716696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "I will guess that this means we are to find the maximum value of x+y, given the conditions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3+%3C=+7x%2B2y+%3C=+3 ALIGN=MIDDLE  ALT=\"-3+%3C=+7x%2B2y+%3C=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4+%3C=+y-x+%3C=+4 ALIGN=MIDDLE  ALT=\"-4+%3C=+y-x+%3C=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The feasibility region is between the lines 7x+2y=-3 and 7x+2y=3; and between the lines y-x=-4 and y-x=4.<br><BR>\n" );
document.write( "I'll let you do the ugly calculations to find the corners of the feasibility region; they are at (-11/9,25/9), (-5/9,31/9), (5/9,-31/9) and (11/9,-25/9).<br><BR>\n" );
document.write( "Clearly the maximum value of x+y is at (-5/9,31/9); the maximum value is 26/9.<br><BR>\n" );
document.write( "If your question was something completely different, resubmit it, in a format that is clearly understandable. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );