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Posted Date: 29 Apr 2008 Posted By:: sac Member Level: Gold Points: 5 (Rs. 1)

2007 Alagappa University Management M.B.A QUANTITATIVE METHODS Question paper
DISTANCE EDUCATION M.B.A. DEGREE EXAMINATION, DECEMBER 2007. Third Semester Banking and Finance QUANTITATIVE METHODS (2005 onwards) Time : Three hours Maximum : 100 marks SECTION A — (5 ? 8 = 40 marks) Answer any FIVE questions. All questions carry equal marks. 1. Explain marginal, average and total cost. 2. What is a LPP? Explain its components with an example. 3. Explain the concept of probability and mention any four uses of it. 4. What do you mean by simulation? Also explain monte carlo method. 5. Elucidate decision tree with an example. 6. Write short notes on : (a) Independent and dependent events. (b) Equally likely events. 7. Define dual of LPP. Also quote the advantage of dual simplex method. 8. A bag contains 4 white and 5 black balls. One ball is drawn from the bag and is not replaced, when the second ball is drawn. Find the probability that both balls of the drawing are white. SECTION B — (4 × 15 = 60 marks) Answer any FOUR questions. All questions carry equal marks. 9. What is break even point and explain its uses in decision making process? 10. Critically examine the role of quantitative analysis in practice of management. 11. Explain the different types of Linear Programming. 12. Use simplex method to solve the LPP. Max subject to 13. Solve the following transportation problem Destination P Q R S Supply Source A 21 16 25 13 11 B 17 18 14 23 13 C 32 17 18 41 19 Demand 6 10 12 15 43 14. A sample of 100 arrivals of a customer at a retail sales depot is according to the following distribution. Time between arrival (min) Frequency 0.5 2 1.0 6 1.5 10 2.0 25 2.5 20 3.0 14 3.5 10 4.0 7 4.5 4 5.0 2 A study of the time required to service customers by adding up the bills, receiving payments and placing packages, yields the following distribution. Time between service (min) : 0.5 1.0 1.5 2.0 2.5 3.0 Frequency : 12 21 36 19 7 5 Estimate the average percentage of customer waiting time and average percentage of idle time of the server by simulation for the next 10 arrivals. 15. A committee consists of 4 people is to be appointed. There are 3 officers in the production department, 4 officers in the purchase department, 2 officers in finance department and 1 chartered accountant. Find the probability of forming a committee in the following manner. (a) There must be one from each category. (b) The chartered accountant must be in the committee. (c) It should have atleast one from the purchase dept.
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