document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120914>Question 120914</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths takes 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths. 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 #88745 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=88745\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths. <BR>\n" );
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document.write( "Let x = no. of bouquets; y = no. of wreaths<BR>\n" );
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document.write( "Labor constraint:<BR>\n" );
document.write( "1x + 2y =< 80<BR>\n" );
document.write( "2y =< -x + 80<BR>\n" );
document.write( "y =< -.5x + 40; divided equation by 2 ( this is the form we want for graphing)<BR>\n" );
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document.write( "Production capacity constraint:<BR>\n" );
document.write( "x + y =< 60<BR>\n" );
document.write( "y =< -x + 60<BR>\n" );
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document.write( "Then graph the system of inequalities.<BR>\n" );
document.write( "Plot two points for each:<BR>\n" );
document.write( "y = -.5x + 40<BR>\n" );
document.write( " x | y<BR>\n" );
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document.write( " 0 | 40<BR>\n" );
document.write( "50 | 15 <BR>\n" );
document.write( "and<BR>\n" );
document.write( "y = -x + 60<BR>\n" );
document.write( " x | y<BR>\n" );
document.write( "--------<BR>\n" );
document.write( " 0 | 60<BR>\n" );
document.write( "50 | 10<BR>\n" );
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document.write( "Plot and draw these two graphs, 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+-10%2C+80%2C+-10%2C+80%2C+-.5x%2B40%2C+-x%2B60%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+80%2C+-10%2C+80%2C+-.5x%2B40%2C+-x%2B60%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Area of feasibility would be at or below the lowest line (Positive values only)<BR>\n" );
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document.write( "Did this make sense to you? Any questions?<BR>\n" );
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