Operations Research and Credits Assignment Set

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MB0048 –Operations Research- 4 Credits
Assignment Set - 1
Q1. a. What do you mean by linear programming problem? Explain the steps involved in linear programming problem formulation? b. A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper in a week. There are 160 production hours in a week. It requires 0.20 and 0.40 hours to produce a ton of grade X and Y papers. The mill earns a profit of Rs. 200 and Rs. 500 per ton of grade X and Y paper respectively. Formulate this as a Linear Programming Problem. Q2. a. Discuss the methodology of Operations Research. b. Explain in brief the phases of Operations Research. Q3. Solve the following Linear Programming Problem using Simple method.         Maximize Z= 3x1 + 2X2

        Subject to the constraints:
                X1+ X2 4
                X1+ X2 2
                X1, X2 0
Q4. Explain the procedure of MODI method of finding solution through optimality test. Q5. a. Explain the steps in Hungarian method. b. Solve the following assignment problem.     Machine    | Operators|

|         1         |         2        |         3         |         4        | A| 60| 50 | 45| 45|
B| 40| 45| 55| 35|
C| 55| 70 | 60| 50|
D| 45| 45 | 40| 45|
    Factories    |      Distribution Centres|      Supply    | |      C1    |      C2     |     C3     |     C4     | |     F1 |     3 |     2 |     7 |     6 |     50|     F2 |     7 |     5 |     2 |     3 |     60|     F3 |     2 |     5 |     4 |     5 |     25|     Requirements |     60 |     40 |     20 |     15 | | Q6. a. Explain the steps involved in Vogel’s approximation method (VAM) of solving Transportation Problem. b. Solve the following transportation problem using Vogel’s approximation method....
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