document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65072>Question 65072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A furniture manufacturing company manufactures tables and chairs. A table\r<BR>\n" );
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document.write( "requires 8 labor-hours for assembly and 2 labor-hours for finishing. A\r<BR>\n" );
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document.write( "chair requires 2 labor-hours for assembly and 1 labor-hour for finishing.\r<BR>\n" );
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document.write( "The maximum labor-hours available per day for assembly and finishing are\r<BR>\n" );
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document.write( "400 and 110, respectively. If x is the number of tables and y is the number\r<BR>\n" );
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document.write( "of chairs produced per day, determine how many tables and chairs can be\r<BR>\n" );
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document.write( "assembled and finished.\r<BR>\n" );
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document.write( "Answer \r<BR>\n" );
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document.write( "x = # of tables\r<BR>\n" );
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document.write( "y = # of chairs\r<BR>\n" );
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document.write( "x + 2y = 400, assembly\r<BR>\n" );
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document.write( "8x + 2y = 110, finished\r<BR>\n" );
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document.write( "HELP!!!! <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45590 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=45590\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A furniture manufacturing company manufactures tables and chairs. A table <BR>\n" );
document.write( "requires 8 labor-hours for assembly and 2 labor-hours for finishing. A <BR>\n" );
document.write( "chair requires 2 labor-hours for assembly and 1 labor-hour for finishing. <BR>\n" );
document.write( "The maximum labor-hours available per day for assembly and finishing are <BR>\n" );
document.write( "400 and 110, respectively. If x is the number of tables and y is the number <BR>\n" );
document.write( "of chairs produced per day, determine how many tables and chairs can be <BR>\n" );
document.write( "assembled and finished. \r<BR>\n" );
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document.write( "Answer \r<BR>\n" );
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document.write( "x = # of tables <BR>\n" );
document.write( "y = # of chairs <BR>\n" );
document.write( "Assembly: 8x+2y<=400<BR>\n" );
document.write( "Finishing: 2x+y<=110<BR>\n" );
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document.write( "Rewrite each equation in slope-intercept form:<BR>\n" );
document.write( "y<=-4x+200<BR>\n" );
document.write( "y<=-2x+110<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C400%2C-10%2C50%2C-5%2C210%2C-4x%2B200%2C-2x%2B110%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C400%2C-10%2C50%2C-5%2C210%2C-4x%2B200%2C-2x%2B110%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Find the intersection of the two lines:<BR>\n" );
document.write( "-4x+200=-2x+110<BR>\n" );
document.write( "2x=90<BR>\n" );
document.write( "x=45<BR>\n" );
document.write( "Solve for y as follows:<BR>\n" );
document.write( "y=-2(45)+110<BR>\n" );
document.write( "y=20<BR>\n" );
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document.write( "Manufacture 45 tables and 20 chairs.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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