document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030119>Question 1030119</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Members of a school club are buying matching shirts. They know at least 25 members will get a shirt. Long-sleeve shirts are $10 each and short-sleeve shirts are $5 each. The club can spend no more than $165. What are the minimum and maximum numbers of long-sleeve shirts that can be purchased?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645040 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=645040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of short sleeve shirts they can buy<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of long sleeve shirts they can buy<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5y+%2B+10x+%3C=+165+ ALIGN=MIDDLE  ALT=\"+5y+%2B+10x+%3C=+165+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%2B+x+%3E=+25+ ALIGN=MIDDLE  ALT=\"+y+%2B+x+%3E=+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5y+%3C=+-10x+%2B+165+ ALIGN=MIDDLE  ALT=\"+5y+%3C=+-10x+%2B+165+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%3C=+-2x+%2B+33+ ALIGN=MIDDLE  ALT=\"+y+%3C=+-2x+%2B+33+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%3E=+-x+%2B+25+ ALIGN=MIDDLE  ALT=\"+y+%3E=+-x+%2B+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Here are the plots:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+400%2C+-5%2C+20%2C+-10%2C+50%2C+-2x+%2B+33%2C+-x+%2B+25+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+400%2C+-5%2C+20%2C+-10%2C+50%2C+-2x+%2B+33%2C+-x+%2B+25+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "From the plot, it looks like ( 8, 17 ) is the maximum point<BR>\n" );
document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+8+ ALIGN=MIDDLE  ALT=\"+x+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the maximum<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "I can go down to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=0+ ALIGN=MIDDLE  ALT=\"+x=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "can be between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+25+ ALIGN=MIDDLE  ALT=\"+y+=+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+33+ ALIGN=MIDDLE  ALT=\"+y+=+33+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "The solution area is between the lines to the left<BR>\n" );
document.write( "of where the lines intersect.<BR>\n" );
document.write( "The maximum number of long <BR>\n" );
document.write( "sleeve shirts they can buy is 8<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "The minimum number of long <BR>\n" );
document.write( "sleeve shirts they can buy is 0<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Hope this helps </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );