document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1143181>Question 1143181</A>: <I><SPAN STYLE=\"word-break: break-all;\"> website ads Nielson's net ratings for the month of December 2002 <BR>\n" );
document.write( "indicated that in United States , AOL had a unique audience of<BR>\n" );
document.write( "about 76.4 million people and Yahoo! had a unique audience of <BR>\n" );
document.write( "about 66.2 million people . An advertising company wants to <BR>\n" );
document.write( "purchase website ads to promote a new product. Suppose that the<BR>\n" );
document.write( "monthly cost of an ad on the AOL website is $ 1200 and the monthly <BR>\n" );
document.write( "cost of an ad on the Yahoo! website is $1100. Determine how many <BR>\n" );
document.write( "months an ad should run on each website to maximize the number of <BR>\n" );
document.write( "people who would be exposed to it. Assume that , for future months, <BR>\n" );
document.write( "the monthly website audience remains the same as given for <BR>\n" );
document.write( "December 2002. Also assume that the advertising budget is $35,000 <BR>\n" );
document.write( "and that is has been decided to advertise on Yahoo! for at least ten <BR>\n" );
document.write( "months. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #763958 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52809)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=763958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "The problem is to maximize the total number of exposing ads-persons\r\n" );
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document.write( "    P(X,Y) = 76.4X + 66.2Y    millions of ads-persons    (OBJECTIVE FUNCTION)\r\n" );
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document.write( "under this restrictions \r\n" );
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document.write( "    1200X + 1100Y <= 35000,\r\n" );
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document.write( "    X >= 0,  Y >= 10,\r\n" );
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document.write( "where X and Y are the number of months for the ad at AOL and Yahoo, respectively.\r\n" );
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document.write( "It is standard simple geometric 2D linear minimax problem to be solved by the Linear Programming method.\r\n" );
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document.write( "So, draw the feasible area - in this case it is a quadrilateral at QI;\r\n" );
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document.write( "    find the coordinates of the corners;\r\n" );
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document.write( "    calculate the objective function at the corners,  and\r\n" );
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document.write( "    determine at which corner the objective function has a maximum.\r\n" );
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document.write( "This point (this corner) will be the solution point to the problem.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "See the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/word/misc/Solving-minimax-problems-by--the-Linear-Programming-method.lesson>Solving minimax problems by the Linear Programming method</A> \r<BR>\n" );
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document.write( "at his site.  Find there many similar solved problems, that are your TEMPLATES.\r<BR>\n" );
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document.write( "See also this list of links\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Inequalities/Inequalities.faq.question.1142000.html \r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1137172.html\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Graphs/Graphs.faq.question.1136382.html\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Coordinate-system/Coordinate-system.faq.question.1134444.html\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Graphs/Graphs.faq.question.1131906.html\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.1131043.html\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/word/finance/Money_Word_Problems.faq.question.1129285.html\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1128383.html  (*!*)\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.1123217.html   (!)\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/playground/test.faq.question.1112482.html\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1102103.html\r<BR>\n" );
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document.write( "to similar solved problems in the archive of this forum.\r<BR>\n" );
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document.write( "I assume that this problem is for 10-th or 11-th grade school student or a College student.\r<BR>\n" );
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document.write( "At this stage, the student do not need to be a spoon-feeded.\r<BR>\n" );
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document.write( "Having a good sample, he (or she) can do the rest on his (or her) own.\r<BR>\n" );
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document.write( "Good samples are just provided and the setup is just done.\r<BR>\n" );
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document.write( "Try to do the rest on your own.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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