document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388492>Question 388492</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the maximum and minimum values of f(x,y)=2y+x for the polygonal convex set determined by this system of inequalities. x>=1, y>=0, x<=4-y\r<BR>\n" );
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document.write( "A. minimum: 1; maximum: 4<BR>\n" );
document.write( "B. minimum: 0; maximum: 5<BR>\n" );
document.write( "C. minimum: 1; maximum: 7<BR>\n" );
document.write( "D. minimum: 4; maximum: 8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #274813 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=274813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The feasible region is defined by plotting the bounding equations. <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-2%2C5%2C-2%2C5%2Cgrid%281%29%2Cblue%28line%281%2C100%2C1%2C-100%29%29%2Ccircle%281%2C0%2C0.2%29%2Ccircle%284%2C0%2C0.2%29%2Ccircle%281%2C3%2C0.2%29%2Cgraph%28300%2C300%2C-2%2C5%2C-2%2C5%2C0%2C4-x%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The vertices are the points were the function maximum or minimum occur.<BR>\n" );
document.write( "Check the value at each point.<BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >):<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=2y%2Bx=2%283%29%2B1=6%2B1=7 ALIGN=MIDDLE  ALT=\"f=2y%2Bx=2%283%29%2B1=6%2B1=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >):<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=2y%2Bx=2%280%29%2B1=1 ALIGN=MIDDLE  ALT=\"f=2y%2Bx=2%280%29%2B1=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >):<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=2y%2Bx=2%280%29%2B4=4 ALIGN=MIDDLE  ALT=\"f=2y%2Bx=2%280%29%2B4=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "C is the correct answer.<BR>\n" );
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