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Page 1 of 3 Term End Examination - May 2013 Course : MEE437 - Operations Research Slot: B2+TB2 Class NBR : 1698 Time : Three Hours Max.Marks:100 Answer any FIVE Questions (5 X 20 = 100 Marks) 1. a) What is duality in L.P problems? [2] b) A company manufactures three products namely X, Y and Z. Each of the products requires processing on three machines, Turning, Milling and Grinding. Product X requires 10 hours of turning, 5 hours of milling and 2 hours of grinding. Product Y requires 5 hours of turning, 10 hours of milling and 4 hours of grinding, and product Z requires 1 hour of turning, 1 hour of milling and 2 hours of grinding. In the coming planning period, 2700 hours of turning, 2200 hours of milling and 500 hours of grinding are available. The profit contribution of X, Y and Z are Rs.10, Rs.15 and Rs.20 per unit respectively. Find the optimal product mix to maximize the profit by Simplex method. [18] 2. a) Can degeneracy occur in a transportation problem? Justify your answer. [2] b) Five jobs (A to E) are to be assigned to 5 machines to minimize the total time required to process the jobs on machines. The times in hours for processing each job on each machine are given in the matrix below. By Hungarian method find the assignment for minimizing the time of processing. Jobs V W X Y Z A 2 4 3 5 4 B 7 4 6 8 4 C 2 9 8 10 4 D 8 6 12 7 4 E 2 8 5 8 8 [18]

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