document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73080>Question 73080</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072549017/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <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. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52363 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=52363\">put this solution on YOUR website!</A><BR><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.<BR>\n" );
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document.write( "x = number of scarves, y = number of sweaters<BR>\n" );
document.write( ";<BR>\n" );
document.write( "The labor constraint:<BR>\n" );
document.write( "2x + 14y =< 40<BR>\n" );
document.write( "Put in the general \"y=\" form in order to 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<BR>\n" );
document.write( ";<BR>\n" );
document.write( "The production constraint<BR>\n" );
document.write( "x + y =< 5<BR>\n" );
document.write( "y =< 5 - x<BR>\n" );
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document.write( "the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-2%2C+6%2C+-2%2C+6%2C+%2820%2F7%29-%281%2F7%29x%2C+5-x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-2%2C+6%2C+-2%2C+6%2C+%2820%2F7%29-%281%2F7%29x%2C+5-x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Area of feasibility is at or below both lines, whichever is lower.<BR>\n" );
document.write( " </SPAN>\n" );
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