document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196210>Question 1196210</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A transport company has two types of trucks, Type A and Type B. Type A has a refrigerated capacity of 20m and non refrigerated capacity of 10m while type B has the same overall volume with equal sections for refrigerated and non refrigerated stock. A grocer needs to hire trucks for the transport of 3000m³ of refrigerated stock and 4000m³ of non refrigerated stock. The cost per kilometre of a Type A is #30 and #40 for Type B. How many trucks of each type should the grocer rent to achieve the minimum total cost? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828969 by </B><A HREF=/tutors/aboutme.mpl?userid=amoresroy><B>amoresroy(361)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amoresroy><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=amoresroy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=828969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <BR>\n" );
document.write( "    A = number of Type A Trucks the grocer should rent<BR>\n" );
document.write( "    B = number of Type B Trucks the grocer should rent\r<BR>\n" );
document.write( "\n" );
document.write( "    C = total rental cost\r<BR>\n" );
document.write( "\n" );
document.write( "The problem says:\r<BR>\n" );
document.write( "\n" );
document.write( "    C = 30A + 40B           (1)\r<BR>\n" );
document.write( "\n" );
document.write( "Given constraints<BR>\n" );
document.write( "    20A + 15B > or = 3,000  (2)<BR>\n" );
document.write( "    10A + 15B > or = 4,000  (3)<BR>\n" );
document.write( "    A > or = 0, B > = 0\r<BR>\n" );
document.write( "\n" );
document.write( "Subtracting equation (2) by (3) <BR>\n" );
document.write( "gives A = -100. Choose A =0.\r<BR>\n" );
document.write( "\n" );
document.write( "With A = 0, calculate B.<BR>\n" );
document.write( "Equation (3)<BR>\n" );
document.write( "     15B > or = to 4,000<BR>\n" );
document.write( "       B = 267\r<BR>\n" );
document.write( "\n" );
document.write( "Answer: <BR>\n" );
document.write( "The grocer should rent 267 Type B Trucks only.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "     </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );