document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92912>Question 92912</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A home-based company produces both hand-knitted scarves and sweaters.  The scarves take 2 hours of labor to produce, and the sweaters take 14 hours.  The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week.  Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters.  Then graph the system of inequalities.\r<BR>\n" );
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document.write( "sorry but I am so lost on this one, thank you  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67625 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=67625\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This problem came up a few days ago. I assume you are not the same person who submitted then. This is what I submitted then, hope it will help you.<BR>\n" );
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document.write( "A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. Then graph the system of inequalities. <BR>\n" );
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document.write( "x = no. of scarves; y = no. of sweaters:<BR>\n" );
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document.write( "The labor inequality:<BR>\n" );
document.write( "2x + 14y =< 40<BR>\n" );
document.write( "Arrange in the general (y=) form so we can graph it:<BR>\n" );
document.write( "14y =< 40 - 2x<BR>\n" );
document.write( "y =< (40/14) - (2/14)x<BR>\n" );
document.write( "y =< 20/7 - (1/7)x; green line<BR>\n" );
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document.write( "The production inequality:<BR>\n" );
document.write( "x + y = 5<BR>\n" );
document.write( "y = 5 - x; purple line<BR>\n" );
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document.write( "Plot these two inequalities (I assume you know how to plot a graph, if not you<BR>\n" );
document.write( "can email me at ankor@dixie-net.com and I will add the procedure to do that.)<BR>\n" );
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document.write( "your graph should look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-2%2C+8%2C+-2%2C+8%2C+5-x%2C+%2820%2F7%29+-+%281%2F7%29x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-2%2C+8%2C+-2%2C+8%2C+5-x%2C+%2820%2F7%29+-+%281%2F7%29x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The area of feasibility would be at or below either line, whichever is lower<BR>\n" );
document.write( "It's assumed that x and y => 0<BR>\n" );
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