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Posted By: kishore Member Level: Gold Posted Date: 24 May 2008
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2007 Jawaharlal Nehru Technological University M.B.A QUANTITATIVE ANALYSIS FOR BUSINESS DECISIONS Question paper
1. Discuss the role and scope of Quantitative techniques for scientific decision-making in a changing business environment. 2. What are decision trees? How and what type of situation are they employed for decision-making? 3. A person consumes two types of food A and B everyday to obtain 8 units proteins, 12 units of Carbohydrates and 9 units of fats which his daily minimum requirements. 1 kilo of food A contains 2, 6 and 1 units of protein, carbohydrates costs Rs.8.50 per kilo, while B costs Rs.4 per kilo. Determine how many kilos of each food should he buy daily to minimize his cost of food and still meet the minimum requirements. Write its dual and solve the dual by the simplex method. 4. Explain the assignment model as a special case of the transportation model. 5. Write a detailed note with suitable examples the importance of Game theory in solving business decisions. 6. The XYZ company’s Quality Control Department is managed by a single clerk, who takes on an average 5 minutes in checking parts of each of the machine coming for inspection. The machines arrive once in every 8 minutes on the average. One hour of the machine is valued at Rs.15 and a clerk’s time is valued at Rs.4 per hour. What are the average hourly queuing system costs associated with the quality control department? 7. “Simulation is the process of carrying out sampling experiments on the model of the system than the system itself”. Discuss. Contd….2 NR/R5 Code No: 23/MBA(NR/R5) -2- 8.a) Construct a PERT network from the following information and determine the critical path: Activity Immediate Predecessor to tm tp A - 1 2 3 B A 2 4 6 C A 2 6 10 D B 6 8 10 E C 4 6 8 F C 6 10 14 G E 8 10 12 H F 12 14 16 I G, H 4 8 12 J G, H 10 12 14 K I 2 4 6 L J 6 10 14 b) Assuming that the schedule allows 40 days to complete the whole project, calculate probability of completion by the schedule date.
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