document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1134443>Question 1134443</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Solve the linear programming problem. Show the Graph. Maximize C = -3x + 5y subject to:\r<BR>\n" );
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document.write( "x-y>=-3<BR>\n" );
document.write( "2x+y<=12<BR>\n" );
document.write( "x>=0<BR>\n" );
document.write( "y>=0\r<BR>\n" );
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document.write( "Maximum:<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751835 by </B><A HREF=/tutors/aboutme.mpl?userid=mathsolverplus><B>mathsolverplus(88)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathsolverplus><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=mathsolverplus><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Under the given conditions, the overlapping area is a quadrilateral with four<BR>\n" );
document.write( "vertices: (0,0) (0,3) (3,6) and (6,0)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=mathsolverplus&illustration_name=Four\">\r<BR>\n" );
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document.write( "Substitute each into the C=-3x+5y to see which one gives the highest value.\r<BR>\n" );
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document.write( "If (0,0):\r<BR>\n" );
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document.write( "C=0\r<BR>\n" );
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document.write( "If (0,3):\r<BR>\n" );
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document.write( "C = 0 + 5(3) = 15\r<BR>\n" );
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document.write( "If (3,6): \r<BR>\n" );
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document.write( "C = -3(3)+5(6) = -9+30 = 21\r<BR>\n" );
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document.write( "If (6,0): \r<BR>\n" );
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document.write( "C = -3(6) + 5(0) = -18\r<BR>\n" );
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document.write( "Maximum occurs at C=21 when x = 3 and y = 6.\r<BR>\n" );
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