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OR_Midterm_ExamWinter11

OR_Midterm_ExamWinter11 - 2 Subject to 6x 1 4x...

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Operations Research, Final Exam University of Northern Virginia Winter 2011 03/05/2011 1. Determine the optimum solution of the following LP using the Simplex Method. Maximize z = 16 x 1 +15 x 2 Subject to 40x 1 + 31 x 2 <=124 - x 1 + x 2 <=1 x 1 <=3 x 1 , x 2 >= 0 2. Determine the optimum solution of the following LP using the Graphical Method. Maximize z = 5 x 1 + 4
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Unformatted text preview: 2 Subject to 6x 1 + 4x 2 &amp;lt;=24 6 x 1 +3 x 2 &amp;lt;=22.5 x 1 + x 2 &amp;lt;=5 x 1 +2 x 2 &amp;lt;=6-x 1 + x 2 &amp;lt;=1 x 2 &amp;lt;=2 x 1 , x 2 &amp;gt;= 0 3. Solve the Feed Mix Problem using the simplex method Minimize z = 2 x 1 + 3 x 2 Subject to x 1 + 3 x 2 15 2 x 1 + 2 x 2 20 3 x 1 + 2 x 2 24 x 1 , x 2 0...
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