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OR_Final_Exam

# OR_Final_Exam - for solution B between 40 and 200 units...

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Operations Research, Final Exam University of Northern Virginia Professor Yingwu Fang 1. ChemLabs uses raw materials I and II to produce two domestic cleaning solutions, A and B. The daily availabilities of raw materials I and II are 150 and 145 units, respectively. One unit of solution A consumes 0.5 unit of raw material I and 0.6 unit of raw material II, and one unit of solution B uses 0.5 unit of raw material I and 0.4 unit of raw material II. The profits per unit of solutions A and B are \$8 and \$10, respectively. The daily demand for solution A lies between 30 and 150 units, and that
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Unformatted text preview: for solution B between 40 and 200 units. Find the optimal production amounts of A and B using the Graphical Method. 2. Determine the optimum solution for each of the following LPs using the Simplex Method. a. Maximize z = 2 x 1 – 4 x 2 + 5 x 3 – 6 x 4 Subject to x 1 + 4 x 2-2 x 3 +8 x 4 <=2-x 1 +2 x 2 +3 x 3 +4 x 4 <=1 x 1 , x 2 , x 3 , x 4 >= 0 b. Minimize z = x 1 + 2 x 2 – 3 x 3 – 2 x 4 Subject to x 1 + x 2 <=6 2 x 1 + x 2 <=16 x 1 , x 2 >= 0...
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