document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=549747>Question 549747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company has a vehicle parking area of 1200m^2 with space for x cars and y trucks. Each car requires 20m^2 of space and each truck 100m^2 of space.\r<BR>\n" );
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document.write( "a)show that x + 5y is equal or less than 60.\r<BR>\n" );
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document.write( "b) there must be space for at least<BR>\n" );
document.write( "   i) 40 vehicles<BR>\n" );
document.write( "   ii) 2 trucks<BR>\n" );
document.write( "write down inequalities to show this information.\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 #358032 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=358032\">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;\" > cars take up <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20x ALIGN=MIDDLE  ALT=\"20x\"   DISABLED_style= \"max-width:90%; height:auto;\" > of space (in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2 ALIGN=MIDDLE  ALT=\"m%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<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;\" > trucks take up <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100y ALIGN=MIDDLE  ALT=\"100y\"   DISABLED_style= \"max-width:90%; height:auto;\" > of space (in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2 ALIGN=MIDDLE  ALT=\"m%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > cars 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;\" > trucks will fit into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200 ALIGN=MIDDLE  ALT=\"1200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2 ALIGN=MIDDLE  ALT=\"m%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20x%2B100y%3C=1200 ALIGN=MIDDLE  ALT=\"20x%2B100y%3C=1200\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5y%3C=60 ALIGN=MIDDLE  ALT=\"x%2B5y%3C=60\"   DISABLED_style= \"max-width:90%; height:auto;\" > dividing everything by 20.<BR>\n" );
document.write( "At least 40 vehicles translates into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%3E=40 ALIGN=MIDDLE  ALT=\"x%2By%3E=40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "At least 2 trucks translates into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=2 ALIGN=MIDDLE  ALT=\"y%3E=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The inequalities asked for are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5y%3C=60 ALIGN=MIDDLE  ALT=\"x%2B5y%3C=60\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=2 ALIGN=MIDDLE  ALT=\"y%3E=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=2 ALIGN=MIDDLE  ALT=\"y%3E=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "EXTRA THOUGHTS<BR>\n" );
document.write( "It's only logical to ask that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=0 ALIGN=MIDDLE  ALT=\"x%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > too, but that will happen anyway, as a consequence of the other restrictions above.<BR>\n" );
document.write( "The inequalities determine a feasibility region. The boundaries for that feasibility region are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5y=60 ALIGN=MIDDLE  ALT=\"x%2B5y=60\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=40 ALIGN=MIDDLE  ALT=\"x%2By=40\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Those boundaries can be graphed as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C90%2C-5%2C45%2C2%2C40-x%2C12-x%2F5%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C90%2C-5%2C45%2C2%2C40-x%2C12-x%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > The feasibility region is the tiny triangle between the 3 lines, sides included. </SPAN>\n" );
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