Download JNTU-Hyderabad MBA 2nd Sem R15 2018 July 721CN Quantitative Analysis For Business Decisions Question Paper

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R15

Code No: 721CN

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JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

MBA II Semester Examinations, June/July-2018

QUANTITATIVE ANALYSIS FOR BUSINESS DECISIONS

Time: 3 hours

Max.Marks:75

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Note: This question paper contains two parts A and B.

Part A is compulsory which carries 25 marks. Answer all questions in Part A.

Part B consists of 5 Units. Answer any one full question from each unit. Each question carries 10 marks and may have a, b, c as sub questions.

PART - A 5 × 5 Marks = 25

1. a) What is a model? Distinguish between analogue and iconic models. [5]

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2. b) What is feasibility region? Is it necessary that it should always be a convex set? [5]
3. c) Explain the Hungarian assignment method. Is it better than other methods of solving assignment problem? [5]
4. d) Describe the steps involved in the process of decision-making. [5]
5. e) What is queuing theory? Under what types of situations can it be applied successfully? [5]

PART - B 5×10 Marks = 50

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1. Write an essay on the scope and methodology of operation research. Explain the different phases of an OR study and techniques in solving OR problem. [10]

   OR

2. What are the different applications of OR in Financial management? Explain with suitable examples. [10]
3. Solve the problem given below, both graphically and using Simplex method. [10]

   Z= 5x1+ 2x2

   Subject to

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   4x1+ 2x2 ≤ 16

   3X1+ X2 ≤ 9

   3X1-X2 ≤ 9

   X1, X2 ≥ 0

   OR

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4. What is a transportation problem? Explain how would you obtain solution using NWC, LCM, VAM. [10]
5. Solve the following assignment problem by Enumeration method. [10]

   	Job 1	Job 2	Job 3
   Worker A	4	2	7
   Worker B	8	5	3
   Worker C	4	5	6

   OR

6. Develop a zero-one programming model for an assignment problem. [10]

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7. Explain and illustrate the following principles of decision-making:
   1. Laplace
   2. Maximin
   3. Maximax
   4. Hurwicz
   5. Savage

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   6. Expectation

   [10]

   OR

8. Player A and B Play a game in which each player has three coins [25p, 50p and 100p (one rupee)]. Each of them selects a coin without the knowledge of the other person. If the sum of the values of the coins is an even number, A wins B's coin. If that sum is an odd number, B wins A's coin.
   1. Develop a payoff matrix with respect to player A.

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   2. Find the optimal strategies for the players.

   [10]

9. Customers arrive at a hair dressing shop according to Poisson distribution. The average time between successive arrivals is 6 minutes. There are three hair dressers, all of same efficiency. The service time of the customers is exponentially distributed with a mean equal to 10 minutes per customer. Find (a) the expected number of customers in the shop (b) the expected time a customer spends in the shop (c) the average time a customer has to wait in the queue (d) the expected number of hairdressers idle. [10]

   OR

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10. A TV repairman finds that the time spent on his jobs has an exponential distribution with a mean 30 minutes. If he repairs sets on the first-come-first-served basis and if the arrival of sets is with an average rate of 10 per 8 hour day, what is repairman's expected idle time each day? Also obtain average number of units in the system. [10]