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ASSIGNMENT DRIVE WINTER 2015 PROGRAM MBA/ MBADS/ MBAFLEX/ MBAHCSN3 SEMESTER II SUBJECT CODE NAME MB0048 OPERATIONS RESEARCH BK ID B2068 CREDITS 4 MARKS 60 Note – Answer all questions Kindly note that answers for 10 marks questions should be approximately of 400 words Each question is followed by evaluation scheme QNo Questions Marks Total Marks 1 Describe the framework of Operations Research A List the seven stages of Operations Research Briefly explain seven stages of Operations Research 125 875 (125 marks for each stage) 10 2 a Explain the graphical method of solving Linear Programming Problem 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 020 and 040 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 A a Explain the concept of linear programming Describe the graphical method of solving Linear Programming Problem 2 4 10 b Frame/formulate the LPP (Objective function Constraints) 4 3 a Explain some of the important terms of the transportation problem b Explain the steps of MODI (Modified Distribution) method A a List and briefly explain some of the important terms of the transportation problem b Describe the procedure of MODI method 2 8 10 4 a Explain the steps involved in Hungarian method of solving Assignment problems b Find an optimal solution to an assignment problem with the following cost matrix: J1 J2 J3 J4 M1 10 9 7 8 M2 5 8 7 7 M3 5 4 6 5 M4 2 3 4 5 A aList the steps in Hungarian method bSolve/ Compute the solution to the problem 4 6 10 5 a Explain Monte Carlo Simulation b Hindustan Bakery is popular for its delicious fruit cakes The table below shows the daily demand for the bakery’s cakes Daily Demand 0 15 25 35 45 50 Probability 001 015 02 05 012 002 Simulate the demand for cakes for 10 days using the following sequence of random numbers: 22, 26, 48, 53, 93, 89, 42, 91, 25, 20 If 35 cakes are baked every day in Hindustan Bakery, determine the inventory stock In addition, estimate the daily average demand for cakes on the basis of simulated data A a Explain what is Monte Carlo Simulation and list the steps of of Monte Carlo Simulation b Solve/ Compute the solution to the problem 5 5 10 6 a State the assumptions of game theory b What are the characteristics of Markov chain? c What are the rules for prioritising jobs? A aList the assumptions of game theory bList the characteristics of Markov chain cList and briefly explain the rules for prioritising jobs 3 3 4 10 *A-Answer