document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198669>Question 1198669</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Formulate but do not solve the following exercise as a linear programming problem.<BR>\n" );
document.write( "TMA manufactures 37-in. high-definition LCD televisions in two separate locations: Location I and Location II. The output at Location I is at most 5,800 televisions/month, whereas the output at Location II is at most 5,100 televisions/month. TMA is the main supplier of televisions to Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 2,900 and 4,000 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows:\r<BR>\n" );
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document.write( " 	To Pulsar Factories<BR>\n" );
document.write( "From TMA 	City A 	City B<BR>\n" );
document.write( "Location I 	$5 	$5<BR>\n" );
document.write( "Location II 	$8 	$8\r<BR>\n" );
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document.write( "TMA will ship x televisions from Location I to City A and y televisions from Location I to City B. Find a shipping schedule that meets the requirements of both companies while keeping costs, C (in dollars), to a minimum. \r<BR>\n" );
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document.write( "Minimize     C=\r<BR>\n" );
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document.write( "Location II production:<BR>\n" );
document.write( "Location II to City A shipping:<BR>\n" );
document.write( "Location II to City B shipping:\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #848514 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52818)</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=848514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Formulate but do not solve the following exercise as a linear programming problem.<BR>\n" );
document.write( "TMA manufactures 37-in. high-definition LCD televisions in two separate locations: Location I and Location II. <BR>\n" );
document.write( "The output at Location I is at most 5,800 televisions/month, <BR>\n" );
document.write( "whereas the output at Location II is at most 5,100 televisions/month. <BR>\n" );
document.write( "TMA is the main supplier of televisions to Pulsar Corporation, its holding company, <BR>\n" );
document.write( "which has priority in having all its requirements met. <BR>\n" );
document.write( "In a certain month, Pulsar placed orders for 2,900 and 4,000 televisions to be shipped <BR>\n" );
document.write( "to two of its factories located in City A and City B, respectively. <BR>\n" );
document.write( "The shipping costs (in dollars) per television from the two TMA plants <BR>\n" );
document.write( "to the two Pulsar factories are as follows:<BR>\n" );
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document.write( "                    To Pulsar Factories\r\n" );
document.write( "                      City A  City B\r\n" );
document.write( "From TMA Location  I    $5     $5\r\n" );
document.write( "From TMA Location II    $8     $8\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "TMA will ship x televisions from Location I to City A and y televisions from Location I to City B. <BR>\n" );
document.write( "Find a shipping schedule that meets the requirements of both companies while keeping costs, C (in dollars), <BR>\n" );
document.write( "to a minimum.\r<BR>\n" );
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document.write( "Minimize C=<BR>\n" );
document.write( "Location II production:<BR>\n" );
document.write( "Location II to City A shipping:<BR>\n" );
document.write( "Location II to City B shipping:<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;This post is very strange. &nbsp;It requests &nbsp;\" formulate as a linear program problem \", \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;but in my view, &nbsp;this instruction is only to confuse a reader or to mock a reader.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I will show how to solve this problem in a simple way, practically &nbsp;MENTALLY, \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;without reducing to a linear program problem. &nbsp;&nbsp;It is good, &nbsp;let say, &nbsp;for a\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;5-th grade student, &nbsp;if to teach him/her in a right way.\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Since the shipping cost per unit from Location  I to A and to B is the same $5,  and \r\n" );
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document.write( "since the shipping cost per unit from Location II to A and to B is the same $8,\r\n" );
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document.write( "it MEANS that the most reasonable strategy is \r\n" );
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document.write( "    (1)  to ship as many TVs as possible from Location I (5800)\r\n" );
document.write( "         for cheaper shipping price to cities A and B,\r\n" );
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document.write( "    (2)  and then to ship the rest of TVs from Location II (2900 + 4000 - 5800 = 6900 - 5800 = 1100)\r\n" );
document.write( "         for more expensive shipping price to cities A and B.\r\n" );
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document.write( "How these quantities 5800 from Location I  and 1100 from Location II will be distributed \r\n" );
document.write( "between the cities A and B, does not matter for the total shipping cost.\r\n" );
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document.write( "Such strategy provides the minimum total shipping cost.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "It is how one could solve this problem, &nbsp;based on common sense &nbsp;ONLY &nbsp;and without employing \r<BR>\n" );
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document.write( "the &nbsp;Linear &nbsp;Programming method, &nbsp;so as not to make the public laugh and not to look like an idiot.\r<BR>\n" );
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document.write( "But it looks like the current &nbsp;Artificial &nbsp;Intelligence did not achieve  <BR>\n" );
document.write( "such a level of thinking yet &nbsp;(based on common sense).\r<BR>\n" );
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document.write( "Actually, &nbsp;this problem, &nbsp;if to formulate it in a right way, &nbsp;without mentioning <BR>\n" );
document.write( "the &nbsp;Linear &nbsp;Programming method, &nbsp;would be a first class &nbsp;ENTERTAINMENT &nbsp;problem.\r<BR>\n" );
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document.write( "<H3>For your info and for your better understanding:</H3>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;There is an entire class of entertainment problems, which I call  \"quasi-Linear Programming method problems\", \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;that are outwardly similar to Linear Programming, but are intended to be solved mentally.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Such problems are specially invented for those people who want to develop their mind and find a fun in it.\r<BR>\n" );
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document.write( "Such problems are also very good for a hiring interview, &nbsp;if a company wants to find/(to employ) <BR>\n" );
document.write( "a specialist, &nbsp;who really knows the subject and is able to think independently on his or her own.\r<BR>\n" );
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document.write( "Such a test will distinct with &nbsp;100% &nbsp; precision a specialist from <BR>\n" );
document.write( "a balabol, who only is able to speak or to write very much, but can not think.\r<BR>\n" );
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