document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117459>Question 117459</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the system of constraints. Then find the values of x and y that maximize A=20x+30y and list the maximum value.\r<BR>\n" );
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document.write( "x greater then or equal to 0<BR>\n" );
document.write( "y greater then or equal to 0<BR>\n" );
document.write( "-2x+4y less then or equal to 4<BR>\n" );
document.write( "x less then or equal to 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85466 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=85466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The constraints marks the feasible region that lies on and within this green lined polygon.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2Cgrid%28+1+%29%2C%0D%0A%0D%0Acircle%28+0%2C+0%2C+.2+%29%2C%0D%0Acircle%28+0%2C+1%2C+.2+%29%2C%0D%0Acircle%28+4%2C+0%2C+.2+%29%2C%0D%0Acircle%28+4%2C+3%2C+.2+%29%2C%0D%0Agreen%28line%280%2C0%2C0%2C1%29%29%2C%0D%0Agreen%28line%280%2C1%2C4%2C3%29%29%2C%0D%0Agreen%28line%284%2C3%2C4%2C0%29%29%2C%0D%0Agreen%28line%284%2C0%2C0%2C0%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From linear programming, a solution exists at one of the bounding vertices (0,0), (0,1), (4,0), or (4,3). <BR>\n" );
document.write( "A=20x+30y <BR>\n" );
document.write( "A(0,0) = 20(0)+ 30(0)= 0<BR>\n" );
document.write( "A(0,1) = 20(0)+ 30(1) = 30<BR>\n" );
document.write( "A(4,0) = 20(4)+ 30(0) = 80<BR>\n" );
document.write( "A(4,3) = 20(4)+ 30(3) = 170<BR>\n" );
document.write( "The (x,y) pair that maximizes A in the feasible region is (4,3). </SPAN>\n" );
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