document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058503>Question 1058503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Brian runs a factory that makes Blu-ray players. Each S100 takes 6 ounces of plastic and 4 ounces of metal. Each D200 requires 3 ounces of plastic and 8 ounces of metal. The factory has 300 ounces of plastic, 608 ounces of metal available, with a maximum of 22 S100 that can be built each week. If each S100 generates $10 in profit, and each D200 generates $2, how many of each of the Blu-ray players should Brian have the factory make each week to make the most profit?\r<BR>\n" );
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document.write( "S100:  \r<BR>\n" );
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document.write( "D200:  \r<BR>\n" );
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document.write( "Best profit:  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673611 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=673611\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Brian runs a factory that makes Blu-ray players. Each S100 takes 6 ounces of plastic and 4 ounces of metal. <BR>\n" );
document.write( "Each D200 requires 3 ounces of plastic and 8 ounces of metal. The factory has 300 ounces of plastic, 608 ounces of metal available, <BR>\n" );
document.write( "with a maximum of 22 S100 that can be built each week. <BR>\n" );
document.write( "If each S100 generates $10 in profit, and each D200 generates $2, how many of each of the Blu-ray players should Brian <BR>\n" );
document.write( "have the factory make each week to make the most profit?\r<BR>\n" );
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document.write( "S100:  \r<BR>\n" );
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document.write( "D200:  \r<BR>\n" );
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document.write( "Best profit: <BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Let x = # of S100 players to produce,\r\n" );
document.write( "    y = # of D200 players to produce.\r\n" );
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document.write( "Then the restrictions are\r\n" );
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document.write( "6x + 4y <= 300,     (plastic)\r\n" );
document.write( "3x + 8y <= 608.     (metal)\r\n" );
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document.write( "There is also a restriction x <= 22 for for the number of S100 players.\r\n" );
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document.write( "Two other obvious restrictions are x >= 0  and  y >= 0.\r\n" );
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document.write( "The objective function is z = 10x + 2y, which you must to maximize. \r\n" );
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document.write( "The setup is done. \r\n" );
document.write( "The rest is just arithmetic, if you know what the LINEAR PROGRAMMING METHOD is.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "You can look into this link\r<BR>\n" );
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document.write( "<A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.1058105.html>https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.1058105.html</A>\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.1058105.html\r<BR>\n" );
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document.write( "I solved there another problem, but you can still understand the idea of the LINEAR PROGRAMMING METHOD from there, <BR>\n" );
document.write( "or refresh your knowledge.\r<BR>\n" );
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document.write( "Good luck !\r<BR>\n" );
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document.write( " </SPAN>\n" );
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