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Re: MBA ms51 paper details
Below ihave given you the MBA ms51 paper Exam paper pattern Time duratiom 3 hrs Maximum Marks 100 Total questions 7 Section A has five questions carrying 20 marks each. Attempt any three. Section B is compulsory and carries 40 marks. Graph paper will be supplied on demand. SECTION A 1. Describe the origin and development of Operations Research (OR). Discuss the early Indian scene. Also highlight, how you use OR in day-to-day decision making process. (20) 2. Maximise z = 30x1 + 40x2 Subject to 60x1 + 120x2 ≤ 12,000 8x1+5x2 ≤ 600 3x1+4x2 ≤ 500 x1, x2 ≥ 0 (20) 3. Consider the game of matching coins. Two players A and B each put down a coin. If the coins match i.e. both are heads or both are tails, A gets rewarded otherwise B gets rewarded. However, matching on heads gives double premium. Obtain the best strategies for both players and the value of the game. (20) 4. A company buys in lots of 500 boxes which is a 3-month supply. The cost per box is Rs. 125 and the ordering cost is Rs. 150. The inventory cost is estimated at 20% of unit value. (a) What is the total annual cost of the existing inventory policy ? (b) How much money could be saved by employing the economic order quantity? (20) 5. Write short notes on any four of the following : (20) (a) Random Variable (b) Sensitivity Analysis (c) Kuhn Tucker's conditions (d) ABC Classification (e) Steps in the simulation process SECTION B 6. Solve the following transportation problem by Least Cost method and check the feasibility of the solution. The unit costs of shipment are given in the cells below : (20) To D E F Supply From A 6 4 1 50 B 3 8 7 40 C 4 4 2 60 Demand 20 95 35 150 7. Belt snapping for conveyors in an open cast mine occurs at the rate of 2 per shift. There is only one hot plate available for vulcanising, and it can vulcanise on an average 5 belt-snaps per shift. (a) What is the probability that when a belt snaps, the hot plate is readily available? (b) What is the average number of belts in the system ? (c) What is the average waiting time of an arrival ? (d) What is the average waiting time plus vulcanising time ? (20) |
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