document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140853>Question 140853</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A clothing manufacturer has 100 m of sill and 180 of wool. To make a suite it requires 2m of silk adn 3m of wool, and to make a dress 1m of silk and 2m of wool. If the profit on the suit is $108 and the profit on the dress is $60, how many suits and dressed should be madeto maximize the profit?\r<BR>\n" );
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document.write( "I started something but it's wrong. Please help!\r<BR>\n" );
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document.write( "2x+1y=108<BR>\n" );
document.write( "x+2y= 60\r<BR>\n" );
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document.write( "Profit = 108x+60y\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 #102500 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=102500\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A clothing manufacturer has 100 m of silk and 180 m of wool. <BR>\n" );
document.write( "To make a suit it requires 2m of silk and 3m of wool, <BR>\n" );
document.write( "to make a dress 1m of silk and 2m of wool. <BR>\n" );
document.write( "If the profit on the suit is $108 and the profit on the dress is $60, <BR>\n" );
document.write( "how many suits and dresses should be made to maximize the profit? <BR>\n" );
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document.write( "Let # of suits be \"s\"; Let # of dresses be \"d\":<BR>\n" );
document.write( "Profit = 108s + 60d<BR>\n" );
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document.write( "Silk: 2s + d <= 100<BR>\n" );
document.write( "Wool: 3s +2d <= 180<BR>\n" );
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document.write( "Solve both for d and graph them:<BR>\n" );
document.write( "d <= -2s + 100<BR>\n" );
document.write( "d <= (-3/2)s + 90<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C100%2C-10%2C200%2C-2x%2B100%2C%28-3%2F2%29x+%2B+90%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C100%2C-10%2C200%2C-2x%2B100%2C%28-3%2F2%29x+%2B+90%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Find the coordinates of the enclosed polygon and test the<BR>\n" );
document.write( "coordinates in the Profit equation to determine the maximum.<BR>\n" );
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document.write( "Coordinates: (20,60), (0,0) , (0,90), (50,0)<BR>\n" );
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document.write( "Determining maximum Profit:<BR>\n" );
document.write( "Profit = 108s + 60d <BR>\n" );
document.write( "(20,60): P = 108*20 + 60*60 = 5760<BR>\n" );
document.write( "(0,90): P = 90*60 = 5400<BR>\n" );
document.write( "(50,0): p = 50*108 = 5400<BR>\n" );
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document.write( "Maximum profit comes when 20 dresses and 60 suits are produced<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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