document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1055922>Question 1055922</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Find the maximal value of the object linction z = x + 3y; subject to constraints; y less than equal to x+1,x+y greater tha equal to 2, 2y greater than equal to x-1, as x greater than equal to 0 and y greater than equal to 0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #671299 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52788)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=671299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( " Find the maximal value of the object <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28cross%28linction%29%29 ALIGN=MIDDLE  ALT=\"highlight%28cross%28linction%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > function z = x + 3y; subject to constraints; y less than equal to x+1,<BR>\n" );
document.write( "x+y greater than equal to 2, 2y greater than equal to x-1, as x greater than equal to 0 and y greater than equal to 0.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+330%2C+330%2C+-5.5%2C+5.5%2C+-5.5%2C+5.5%2C%0D%0A++++++++++x%2B1%2C+2-x%2C+%28x-1%29%2F2%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Plots y = x+1 (red), y = 2-x (green), y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%2F2 ALIGN=MIDDLE  ALT=\"%28x-1%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (blue)\r<BR>\n" );
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document.write( "Make a sketch of the given area, or use the sketch I prepared for you.\r<BR>\n" );
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document.write( "Your area is the infinite domain in the first quadrant bounded by the red, green and blue straight lines.\r<BR>\n" );
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document.write( "The given object function <U>HAS NO</U> maximal value over this domain.\r<BR>\n" );
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document.write( "There are only two options:\r<BR>\n" );
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document.write( "1) <U>EITHER</U> the answer is NEGATIVE (no maximum),\r<BR>\n" );
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document.write( "2) <U>OR</U> the formulation is wrong.\r<BR>\n" );
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document.write( "There is <U>NO</U> other options.\r<BR>\n" );
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