document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118471>Question 1118471</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Summer runs a factory that makes DVD players. Each S100 takes 6 ounces of plastic and 2 ounces of metal. Each FS20 requires 3 ounces of plastic and 4 ounces of metal. The factory has 234 ounces of plastic, 264 ounces of metal available, with a maximum of 14 S100 that can be built each week. If each S100 generates $13 in profit, and each FS20 generates $13, how many of each of the DVD players should Summer 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( "FS20:\r<BR>\n" );
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document.write( "Best profit:\r<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 #733806 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=733806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Summer runs a factory that makes DVD players. <BR>\n" );
document.write( "Each S100 takes 6 ounces of plastic and 2 ounces of metal. <BR>\n" );
document.write( "Each FS20 rReequires 3 ounces of plastic and 4 ounces of metal. <BR>\n" );
document.write( "The factory has 234 ounces of plastic, 264 ounces of metal available, with a maximum of 14 S100 that can be built each week. <BR>\n" );
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document.write( "If each S100 generates $13 in profit, and each FS20 generates $13, how many of each of the DVD players should Summer have the factory make each week to make the most profit?<BR>\n" );
document.write( "s <= 14<BR>\n" );
document.write( "Plastic:: 6s +3f <=234<BR>\n" );
document.write( "Metal:::: 2s +4f <= 264<BR>\n" );
document.write( "Profit function:: P = 13f + 13s<BR>\n" );
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document.write( "Rearrange::<BR>\n" );
document.write( "f <= -2s + 78<BR>\n" );
document.write( "f <= (-1/2)s + 132<BR>\n" );
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document.write( "Graph in the first quadrant with horizontal axis s and vertical axis f<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-5%2C15%2C-5%2C135%2C-2x%2B78%2C%28-1%2F2%29x%2B132%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-5%2C15%2C-5%2C135%2C-2x%2B78%2C%28-1%2F2%29x%2B132%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Find the corner coordinates:: (s,f)<BR>\n" );
document.write( "Note:: Your Inequalities do not define an enclosed area.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "S100: <BR>\n" );
document.write( "FS20: \r<BR>\n" );
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document.write( "Best profit: <BR>\n" );
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