document.write( "Question 1202912: Consider the following simplex tableau.
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\n" ); document.write( "\n" ); document.write( "Since the simplex tableau is in final form, write the optimal solution and the optimal value.
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Algebra.Com's Answer #838129 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Change to a system of equations:\r\n" );
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document.write( "\"system%281x%2B1y%2B1u%2B0v%2B0P=1%2C+1x%2B0y-1u%2B1v%2B0P=5%2C5x%2B0y%2B7u%2B0v%2B1P=18%29\"\r\n" );
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document.write( "Simplify:\r\n" );
document.write( "\"system%28x%2By%2Bu=1%2C+x-u%2Bv=5%2C5x%2B7u%2BP=18%29\"\r\n" );
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document.write( "All of the variables are non-negative.  Solve the last equation for P:\r\n" );
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document.write( "\"P=18-5x-7u\"\r\n" );
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document.write( "To make P large as possible choose what is subtracted from it to be 0,\r\n" );
document.write( "so we can keep the whole 18 for P if we choose x = 0 and u = 0.\r\n" );
document.write( "Substituting:\r\n" );
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document.write( "\"system%280%2By%2B0=1%2C+0-0%2Bv=5%2C5%280%29%2B7%280%29%2BP=18%29\"\r\n" );
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document.write( "\"system%28y=1%2Cv=5%2CP=18%29\"\r\n" );
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document.write( "Choose x = 0, y = 1, for a maximum value of P = 18.\r\n" );
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document.write( "Edwin
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