document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984090>Question 984090</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I am having trouble understanding and solving this problem:\r<BR>\n" );
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document.write( "A furniture company makes desks and cairs. A carpenter can make a chair in 5 hours and a desk in 8 hours. Finishers take 2.5 hours to paint a chair and 2 hours to paint a desk. The carpentry department has enough people to work up to 400 hours per week, and the finishing department can put 120 hours per week.\r<BR>\n" );
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document.write( "(a.) Write a system of inequalities to model the situation.<BR>\n" );
document.write( "(b.) Graph the system to show the possible numbers of desks and chairs the company can produce in a week.\r<BR>\n" );
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document.write( "-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 #604862 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=604862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of chairs made<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of desks made<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B8y ALIGN=MIDDLE  ALT=\"5x%2B8y\"   DISABLED_style= \"max-width:90%; height:auto;\" >= time (hours) required for a carpenter to make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > chairs and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > desks.<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%285x%2B8y%3C=400%29 ALIGN=MIDDLE  ALT=\"highlight%285x%2B8y%3C=400%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , because the carpentry department has enough people to work up to 400 hours per week.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5x%2B2y ALIGN=MIDDLE  ALT=\"2.5x%2B2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >= time (hours) required for a finisher to paint <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > chairs and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > desks.<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282.5x%2B2y%3C=120%29 ALIGN=MIDDLE  ALT=\"highlight%282.5x%2B2y%3C=120%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , because the finishing department can put 120 hours per week.<BR>\n" );
document.write( "(a.) The system of inequalities to model the situation is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%285x%2B8y%3C=400%2C2.5x%2B2y%3C=120%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%285x%2B8y%3C=400%2C2.5x%2B2y%3C=120%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(b.) The graph for the system is shown below.<BR>\n" );
document.write( "The solution is the quadrilateral shaded.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-10%2C90%2C-10%2C90%2C%0D%0Agrid%281%29%2C%0D%0Ared%28line%28-16%2C60%2C96%2C-10%29%29%2C%0D%0Agreen%28line%28-12%2C75%2C60%2C-15%29%29%2C%0D%0Ablue%28line%284%2C0%2C4%2C47.5%29%29%2C%0D%0Ablue%28line%288%2C0%2C8%2C45%29%29%2C%0D%0Ablue%28line%2812%2C0%2C12%2C42.5%29%29%2C%0D%0Ablue%28line%2816%2C0%2C16%2C40%29%29%2C%0D%0Ablue%28line%2820%2C0%2C20%2C35%29%29%2C%0D%0Ablue%28line%2824%2C0%2C24%2C30%29%29%2C%0D%0Ablue%28line%2828%2C0%2C28%2C25%29%29%2C%0D%0Ablue%28line%2832%2C0%2C32%2C20%29%29%2C%0D%0Ablue%28line%2836%2C0%2C36%2C15%29%29%2C%0D%0Ablue%28line%2840%2C0%2C40%2C10%29%29%2C%0D%0Ablue%28line%2844%2C0%2C44%2C5%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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