document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175018>Question 175018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me with the constraints on this linear programming question?\r<BR>\n" );
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document.write( "Trenton, Michigan, a small community, is trying to establish a public transportation system of large and small vans. It can spend no more than $100,000 for both sizes of vehicles and no more than $500 per month for maintenance. The community can purchase a small van for $10,000 and maintain it for $100 a month. The large vans cost $20,000 each and can be maintained for $75 per month. Each large van carries a maximum of 15 passengers, and each small van carries a maximum of 7 passengers.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130119 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=130119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> lets call the number of small vans and large vans purchased ,be S and L, respectively<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10000S%2B20000L%3C=100000 ALIGN=MIDDLE  ALT=\"10000S%2B20000L%3C=100000\"   DISABLED_style= \"max-width:90%; height:auto;\" >...eq 1 (for purchases)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100S%2B75L%3C=500 ALIGN=MIDDLE  ALT=\"100S%2B75L%3C=500\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........eq 2(for maintanence)<BR>\n" );
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document.write( "divide equation 1 by 10000<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%2B2L%3C=10 ALIGN=MIDDLE  ALT=\"s%2B2L%3C=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > revised eq 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%3C=5-%283%2F4%29L ALIGN=MIDDLE  ALT=\"s%3C=5-%283%2F4%29L\"   DISABLED_style= \"max-width:90%; height:auto;\" >revised eq 2<BR>\n" );
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document.write( "take s's value in eq 2 and plug it into eq 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-%283%2F4%29L%2B2L%3C=10 ALIGN=MIDDLE  ALT=\"5-%283%2F4%29L%2B2L%3C=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "multiply all terms by 4<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20-3L%2B8L%3C=40 ALIGN=MIDDLE  ALT=\"20-3L%2B8L%3C=40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5L%3C=20 ALIGN=MIDDLE  ALT=\"5L%3C=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L%3C=4%29 ALIGN=MIDDLE  ALT=\"highlight%28L%3C=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28s%3C=5-%283%2F4%29L%3C=5-%283%2F4%29%284%29%3C=2%29 ALIGN=MIDDLE  ALT=\"highlight%28s%3C=5-%283%2F4%29L%3C=5-%283%2F4%29%284%29%3C=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "so if we purchase 4 Large vans and 2 small vans we can carry<BR>\n" );
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document.write( "4(15)+2(7)=74 passengers </SPAN>\n" );
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