document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201221>Question 1201221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are given a linear programming problem.\r<BR>\n" );
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document.write( "Maximize P = 4x + 4y<BR>\n" );
document.write( "subject to  2x	 + 	3y	 ≤	12 Resource 1<BR>\n" );
document.write( "2x	 + 	y	 ≤	8 Resource 2<BR>\n" );
document.write( "y	 ≥	0	<BR>\n" );
document.write( "x	 ≥	0	\r<BR>\n" );
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document.write( "(a) Use the method of corners to solve the problem.<BR>\n" );
document.write( "The maximum is P = __?__ at  (x, y) = (__?__)\r<BR>\n" );
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document.write( "(b) Suppose P = cx + 4y. Find the range of values that the coefficient c of x can assume without changing the optimal solution.<BR>\n" );
document.write( "__?__    ≤ c ≤   __?__\r<BR>\n" );
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document.write( "(c) Find the range of values that Resource 1 can assume.<BR>\n" );
document.write( " __?__  ≤ (Resource 1) ≤ __?__\r<BR>\n" );
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document.write( "(d) Find the shadow price for Resource 1.<BR>\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 #835515 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=835515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "In this site, there is a lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/word/misc/Solving-minimax-problems-by--the-Linear-Programming-method.lesson>Solving minimax problems by the Linear Programming method</A> \r<BR>\n" );
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document.write( "which teaches and explains on how to solve linear programming problems on the introductory level.\r<BR>\n" );
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document.write( "Read it and learn the subject from scratch.\r<BR>\n" );
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document.write( "This reading will be definitely enough to you to solve your problem (a) on your own.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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