document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183018>Question 183018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company has a work force of 21 men that produces two types of top end cabinets.\r<BR>\n" );
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document.write( "Cabinet A is limited to 150 cabinets per day<BR>\n" );
document.write( "Takes 6 person days to produce 100<BR>\n" );
document.write( "Has a profit of 1800 per 100\r<BR>\n" );
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document.write( "Cabinet B is limited to 200 cabinets per day<BR>\n" );
document.write( "Requires 9 person days to produce 100<BR>\n" );
document.write( "Has a profit of 2400 per 100\r<BR>\n" );
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document.write( "I'm really struggling to find the algebraic formula. I've tried spreading the staff across both products and calculating the man hours available and required etc but I just seem to go in circles.<BR>\n" );
document.write( "I know I need 3 Lines on my graph so 3 constraints are required as otherwise the feasible domain wont be found but I'm still going in circles.\r<BR>\n" );
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document.write( "Any help will be greatly appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137431 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=137431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of men who worked on cabinet A<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of men who worked on cabinet B<BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+21 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It takes 6 person-days to make 100 of A<BR>\n" );
document.write( "So, it takes 6 persons 1 day to make 100 of A<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2A%28a%2F6%29+%3C=+150 ALIGN=MIDDLE  ALT=\"100%2A%28a%2F6%29+%3C=+150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F6+%3C=+1.5 ALIGN=MIDDLE  ALT=\"a%2F6+%3C=+1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%3C=+9 ALIGN=MIDDLE  ALT=\"a+%3C=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The profit is 1800 /100 of A<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5Ba%5D+=+1800%2A%28a%2F6%29 ALIGN=MIDDLE  ALT=\"P%5Ba%5D+=+1800%2A%28a%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5Ba%5D+=+300a ALIGN=MIDDLE  ALT=\"P%5Ba%5D+=+300a\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "It takes 9 person-days to make 100 of B<BR>\n" );
document.write( "So, it takes 9 persons 1 day to make 100 of B<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2A%28b%2F9%29+%3C=+200 ALIGN=MIDDLE  ALT=\"100%2A%28b%2F9%29+%3C=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2F9+%3C=+2 ALIGN=MIDDLE  ALT=\"b%2F9+%3C=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+%3C=+18 ALIGN=MIDDLE  ALT=\"b+%3C=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The profit is 2400 / 100 of B<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5Bb%5D+=+2400%2A%28b%2F9%29 ALIGN=MIDDLE  ALT=\"P%5Bb%5D+=+2400%2A%28b%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5Bb%5D+=+266.67b ALIGN=MIDDLE  ALT=\"P%5Bb%5D+=+266.67b\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "I may be wrong with this- it's all I could <BR>\n" );
document.write( "come up with </SPAN>\n" );
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