document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129079>Question 1129079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need assistance please. I really don't know what I am doing, and the book only provides one (poor) example. \r<BR>\n" );
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document.write( "Solve using the graphical method.  Choose your variables, write the objective function and the constraints, graph the constraints, shade the feasibility region, label all corner points, and determine the solution that optimizes the objective function.\r<BR>\n" );
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document.write( "Problem is as follows:\r<BR>\n" );
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document.write( "Mr. Tran has $24,000 to invest, some in bonds and the rest in stocks. He has decided that the money invested in bonds must be at least twice as much as that in stocks. But the money invested in bonds must not be greater than $18,000. If the bonds earn 6%, and the stocks earn 8%, how much money should he invest in each to maximize profit? \r<BR>\n" );
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document.write( "What I have done:\r<BR>\n" );
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document.write( "Choose variables-\r<BR>\n" );
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document.write( "X=amount invested in bonds<BR>\n" );
document.write( "y=amount invested in stocks\r<BR>\n" );
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document.write( "Objective function-<BR>\n" );
document.write( "P=.06x+.08y\r<BR>\n" );
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document.write( "Constraints-<BR>\n" );
document.write( "This is what I am struggling with most. I find it hard to pull these out of the word problem. What I have is:\r<BR>\n" );
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document.write( "x+y>=24,000<BR>\n" );
document.write( "x<=18,000\r<BR>\n" );
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document.write( "What I'm really struggling with is where this sentence, \"money invested in bonds must be at least twice as much as that in stocks\" fits into the equation. \r<BR>\n" );
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document.write( "If anyone has an god advice on how to set up an equation such as this I would sure appreciate it.\r<BR>\n" );
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document.write( "Thank you!<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 #745611 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52778)</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=745611\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "To get more confidence in solving such problems, you simply need to see more samples/examples of solved problems.\r<BR>\n" );
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document.write( "Look into the 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( "in this site.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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