document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=427098>Question 427098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A little help please!? \r<BR>\n" );
document.write( "\n" );
document.write( "Find all four corner points of the feasible region of the following system of inequalities: \r<BR>\n" );
document.write( "\n" );
document.write( "x + 4y <= 8<BR>\n" );
document.write( "x - y <= 3<BR>\n" );
document.write( "x => 0<BR>\n" );
document.write( "y => 0\r<BR>\n" );
document.write( "\n" );
document.write( "I do not have a clue...<BR>\n" );
document.write( "Thank you in advance!! :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #297070 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=297070\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all four corner points of the feasible region of the following system of inequalities:<BR>\n" );
document.write( "Put equations in the slope/intercept form to graph<BR>\n" );
document.write( "x + 4y <= 8<BR>\n" );
document.write( "4y <= -x + 8<BR>\n" );
document.write( "y <= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2F4 ALIGN=MIDDLE  ALT=\"-x%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2<BR>\n" );
document.write( "This is plotted as the red line<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x - y <= 3<BR>\n" );
document.write( "-y <= -x + 3<BR>\n" );
document.write( "y has to be positive, multiply by -1, this reverses the inequality sign<BR>\n" );
document.write( "y >= x - 3<BR>\n" );
document.write( "This is plotted as the green line<BR>\n" );
document.write( ":<BR>\n" );
document.write( "This just means all values are >0<BR>\n" );
document.write( "x => 0<BR>\n" );
document.write( "y => 0 <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Plot these using x=0 and x=8. Looks something like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+10%2C+-8%2C+8%2C+%28-x%2F4%29%2B2%2C+x-3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+10%2C+-8%2C+8%2C+%28-x%2F4%29%2B2%2C+x-3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that the area of feasibility is:<BR>\n" );
document.write( "Less or at the red line<BR>\n" );
document.write( "above or at the green line<BR>\n" );
document.write( "At or Above the x axis<BR>\n" );
document.write( "At or to the right of the y axis<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can see the coordinates of the corner points of this area:<BR>\n" );
document.write( "0,0; 0,2; 4,1; 3,0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Perhaps this will give you a couple clues to this.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );