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Code No: F3204
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R09
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
MCA 1I Semester Examinations, January - 2018
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OPERATIONS RESEARCH
Time: 3hrs Max.Marks:60
Answer any five questions
All questions carry equal marks
- Explain models and limitations of operations research. [12]
- Solve by using big-M method, the following linear programming problem: [12] 
 Max. Z=-2 X1 —X2
 Subjectto 3 x1+x=3
 4x1+3x>6
 x1+2x<4--- Content provided by FirstRanker.com --- and x1, x,>0
- Explain with an example, the North-West corner rule and the least cost method for obtaining an initial basic feasible solution of a transportation problem. [12]
- A car hire company has one car at each of five depots a, b, c, d and e. A customer requires a car in each town namely A, B, C, D and E. Distance (in kms) between depots (origins) and towns (destinations) are given in the following distance matrix. 
 
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 How should cars be answer to customer so as to minimize the distance travelled? [12]a b C d e A 160 130 175 190 200 B 135 120 130 160 175 C 140 110 155 170 185 D 50 50 80 80 110 E 55 35 70 80 105 
- Find the sequence that minimizes the total elapsed time repaired to complete the following tasks. Each job is processed in the order ACB. [12] 
 
 MachinesJobs 1 2 3 4 A 11 13 15 17 B 4 6 2 3 C 5 7 9 11 
- Explain the characteristics of dynamic programming. Illustrate its application to an assumed problem. [12]
- Give a good presentation on ‘Game theory’ by functioning upon various relevant concepts and destinations. [12]
- Explain various kinds of inventory models and related issues/concepts. [12]
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