document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205208>Question 205208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A furniture maker has a shop that can employ 12 workers for 40 hours per week at its maximum capacity.  The shop makes tables and chairs. It takes 16 hours of labor to make a table and 8 hours of labor to make a chair.  Graph the region that shows the possibilities for the number of tables and chairs that could be made in one week.  \r<BR>\n" );
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document.write( "I am completely lost on this problem.  Any help provided, is greatly appreciated...Thanks!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154942 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=154942\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A furniture maker has a shop that can employ 12 workers for 40 hour per week at<BR>\n" );
document.write( " its maximum capacity. The shop makes tables and chairs. <BR>\n" );
document.write( "It takes 16 hours of labor to make a table and 8 hours of labor to make a chair. <BR>\n" );
document.write( "Graph the region that shows the possibilities for the number of tables and<BR>\n" );
document.write( " chairs that could be made in one week.<BR>\n" );
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document.write( "Total man-hours per week: 12*40 = 480 hrs<BR>\n" );
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document.write( "x = no. of tables, y = no. of chairs<BR>\n" );
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document.write( "16x + 8y =< 480<BR>\n" );
document.write( "Put in equation into the slope intercept form for graphing<BR>\n" );
document.write( "8y =< -16x + 480<BR>\n" );
document.write( "y =< -(16/8)x + (480/8)<BR>\n" );
document.write( "y =< -2x + 60<BR>\n" );
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document.write( "Graph it from x = 0 to x = 30 <BR>\n" );
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document.write( " x | y <BR>\n" );
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document.write( " 0 | 60; all chairs<BR>\n" );
document.write( "10 | 40<BR>\n" );
document.write( "20 | 20<BR>\n" );
document.write( "30 |  0; all tables <BR>\n" );
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document.write( "Your graph should look this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+36%2C+-6%2C+66%2C+-2x%2B60+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+36%2C+-6%2C+66%2C+-2x%2B60+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The area of feasibility would be the positive region at or below the line<BR>\n" );
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