document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058509>Question 1058509</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer produces two models of mountain bikes. Model A requires 5 hours of assembly time and 2 hours of painting time, and Model B requires 4 hours of assembly time and 3 hours of painting time. The maximum total weekly hours available in the assembly department and the painting department are 200 hours and 108 hours, respectively. The profits per unit are $25 for Model A and $15 for Model B. How many of each type should be produced to maximize profit?\r<BR>\n" );
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document.write( " bikes of Model A\r<BR>\n" );
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document.write( " bikes of Model B\r<BR>\n" );
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document.write( "What is the maximum profit? $ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673609 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52776)</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=673609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A manufacturer produces two models of mountain bikes. Model A requires 5 hours of assembly time and 2 hours of painting time, <BR>\n" );
document.write( "and Model B requires 4 hours of assembly time and 3 hours of painting time. The maximum total weekly hours available in <BR>\n" );
document.write( "the assembly department and the painting department are 200 hours and 108 hours, respectively. <BR>\n" );
document.write( "The profits per unit are $25 for Model A and $15 for Model B. How many of each type should be produced to maximize profit?\r<BR>\n" );
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document.write( " bikes of Model A\r<BR>\n" );
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document.write( " bikes of Model B\r<BR>\n" );
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document.write( "What is the maximum 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 = # model A bikes to produce,\r\n" );
document.write( "    y = # model B bikes to produce.\r\n" );
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document.write( "Then the restrictions are\r\n" );
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document.write( "5x + 4y <= 200,     (assembly time)\r\n" );
document.write( "2x + 3y <= 108.     (painting time)\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 = 25x + 15y, 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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