document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173214>Question 1173214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Shown below is the solution to the linear program for finding Player A's optimal mixed strategy in a two-person, zero-sum game.\r<BR>\n" );
document.write( "\n" );
document.write( "OBJECTIVE FUNCTION VALUE  =     3.500\r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "VARIABLE\r<BR>\n" );
document.write( "\n" );
document.write( "VALUE\r<BR>\n" );
document.write( "\n" );
document.write( "REDUCED COSTS\r<BR>\n" );
document.write( "\n" );
document.write( "PA1\r<BR>\n" );
document.write( "\n" );
document.write( "0.050\r<BR>\n" );
document.write( "\n" );
document.write( "0.000\r<BR>\n" );
document.write( "\n" );
document.write( "PA2\r<BR>\n" );
document.write( "\n" );
document.write( "0.600\r<BR>\n" );
document.write( "\n" );
document.write( "0.000\r<BR>\n" );
document.write( "\n" );
document.write( "PA3\r<BR>\n" );
document.write( "\n" );
document.write( "0.350\r<BR>\n" );
document.write( "\n" );
document.write( "0.000\r<BR>\n" );
document.write( "\n" );
document.write( "GAINA\r<BR>\n" );
document.write( "\n" );
document.write( "3.500\r<BR>\n" );
document.write( "\n" );
document.write( "0.000\r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "CONSTRAINT\r<BR>\n" );
document.write( "\n" );
document.write( "SLACK/SURPLUS\r<BR>\n" );
document.write( "\n" );
document.write( "DUAL PRICES\r<BR>\n" );
document.write( "\n" );
document.write( "1\r<BR>\n" );
document.write( "\n" );
document.write( "0.000\r<BR>\n" );
document.write( "\n" );
document.write( "−0.500\r<BR>\n" );
document.write( "\n" );
document.write( "2\r<BR>\n" );
document.write( "\n" );
document.write( "0.000\r<BR>\n" );
document.write( "\n" );
document.write( "−0.500\r<BR>\n" );
document.write( "\n" );
document.write( "3\r<BR>\n" );
document.write( "\n" );
document.write( "0.000\r<BR>\n" );
document.write( "\n" );
document.write( "  0.000\r<BR>\n" );
document.write( "\n" );
document.write( "4\r<BR>\n" );
document.write( "\n" );
document.write( "0.000\r<BR>\n" );
document.write( "\n" );
document.write( "  3.500\r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "a.\r<BR>\n" );
document.write( "\n" );
document.write( "What is Player A's optimal mixed strategy?\r<BR>\n" );
document.write( "\n" );
document.write( "b.\r<BR>\n" );
document.write( "\n" );
document.write( "What is Player B's optimal mixed strategy?\r<BR>\n" );
document.write( "\n" );
document.write( "c.\r<BR>\n" );
document.write( "\n" );
document.write( "What is Player A's expected gain?\r<BR>\n" );
document.write( "\n" );
document.write( "d.\r<BR>\n" );
document.write( "\n" );
document.write( "What is Player B's expected loss?\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #850680 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</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=850680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Unreadable.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );