document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118969>Question 118969</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The logistics manager at the factory needs to know the mass of chocolate that will be moving through his warehouse each week for storage and transporting purposes.  He also needs to know the number of shippers and the weight of each carton in kg given that each shipper takes 6 cartons and each carton takes two dozen bars.  Each bar weighs 80g.  He bases his calculations on 14 shifts per week </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87130 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=87130\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What seems to be missing information is that there is 1 shipper per<BR>\n" );
document.write( "shift, but I'm taking that for granted, since that's usually the case.<BR>\n" );
document.write( "The logistics manager wants to know things on a weekly basis.<BR>\n" );
document.write( "(1) First he wants to know (grams of chocolate shipped / week)<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" > = grams of chocolate shipped per week<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K ALIGN=MIDDLE  ALT=\"K\"   DISABLED_style= \"max-width:90%; height:auto;\" > = kilograms of chocolate per carton<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S ALIGN=MIDDLE  ALT=\"S\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of shippers shipping chocolate per week<BR>\n" );
document.write( "C g/wk = (14 shifts/wk)x(1 shipper/shift)x(6 cartons/shipper)x(24 bars/carton)x<BR>\n" );
document.write( "(80 g/bar)<BR>\n" );
document.write( "You'll notice that, as far as units go, on the right side, \"shifts\" is<BR>\n" );
document.write( "on the top and bottom and therefore cancels. The same is true for \"shipper\",<BR>\n" );
document.write( "\"carton\", and \"bar\". I am left with g/wk = g/wk as I should.<BR>\n" );
document.write( "Calculating:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+14%2A1%2A6%2A24%2A80 ALIGN=MIDDLE  ALT=\"C+=+14%2A1%2A6%2A24%2A80\"   DISABLED_style= \"max-width:90%; height:auto;\" >g/wk<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+161280 ALIGN=MIDDLE  ALT=\"C+=+161280\"   DISABLED_style= \"max-width:90%; height:auto;\" >g/wk answer<BR>\n" );
document.write( "or<BR>\n" );
document.write( "mass in kg = (161280 g/wk)x(1 kg / 1000g)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B2%5D+=+161.280 ALIGN=MIDDLE  ALT=\"C%5B2%5D+=+161.280\"   DISABLED_style= \"max-width:90%; height:auto;\" >kg<BR>\n" );
document.write( "----------------------- <BR>\n" );
document.write( "(2) S shippers/wk = (1 shipper/shift)x(14 shifts/wk)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+1%2A14 ALIGN=MIDDLE  ALT=\"S+=+1%2A14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+14 ALIGN=MIDDLE  ALT=\"S+=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" >shippers answer<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "(3) kg / carton = (1 kg / 1000 g)x(24 bars/carton)x(80 g/bar)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K+=+%281%2F1000%29%2A24%2A80 ALIGN=MIDDLE  ALT=\"K+=+%281%2F1000%29%2A24%2A80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K+=+1.92 ALIGN=MIDDLE  ALT=\"K+=+1.92\"   DISABLED_style= \"max-width:90%; height:auto;\" >kg/carton answer<BR>\n" );
document.write( "Notice that, with just units, \"g\" and \"bars\" cancel on the right side<BR>\n" );
document.write( "and I'm left with kg/carton = kg/carton. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );