LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
B. Ss. DEGREE EXAMINATION – STATISTICS SIXTH SEMESTER – April 2012 ST6604 / ST6601 – OPERATIONS RESEARCH Date: 18042012 Dept. No. Max.:100 Marks
Time: 1.00 – 4.00


PART – A
Answer ALL questions: (10 x 2 = 20)
PART – B Answer any FIVE questions: (5 x 8 = 40)
The maximum amounts available of crudes A & B are 250 units and 200 units respectively. Market demand shows that at least 150 units of gasoline X and 130 units of gasoline Y must be produced. The profits per production run from process 1 and process 2 are Rs. 4 and Rs. 5 respectively. Formulate the problem for maximizing the profit.
How should the tasks be allocated, one to a man, so as to minimize the total manhours?
Player B
Player A
PART – C
Answer any TWO Questions: ( 2 x 20 = 40 marks)
Minimize z = 6x_{1} + 7x_{2} + 3x_{3} + 5x_{4} Subject to 5x_{1} + 6x_{2} – 3x_{3} + 4x_{4 }≥ 12 x_{2} – 5x_{3} – 6x_{4 }≥ 10 2x_{1} + 5x_{2} + x_{3} + x_{4 }≥ 8 x_{1}, x_{2}, x_{3}, x_{4 }≥ 0
which A’s payoff matrix is (15) the optimal strategies (x_{1}, x_{2}) and (y_{1}, y_{2}) for A and B respectively are determined by What is the value of the game?
1. 20. b) What is the principle of dominance in game theory? (5)
(i) North West Carner rule (ii) Vogels method (iii) Least Cost method.
And obtain the optimal solution.
22. b) A project consists of eight activities with the following relevant information:
(i) Draw the PERT network and find out the expected project completion time. (ii) What duration will have 95% confidence for project completion? (iii) If the average duration for activity F increases to 14 days, what will be its effect on the expected project completion time, which will have 95% confidence? (15)

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