MBA 113 – QUANTITATIVE METHODS
MODEL PAPER
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Get Help Now!- All Questions are compulsory in Section A. Section A carries 20 marks.
- Attempt FIVE questions in all from Section B, selecting ONE question either A of B from each question. Answer of each question shall be limited upto 250 words. Each question carries 6 marks.
- Attempt 3 questions in all from section C. Answer of each question shall be limited upto 500 words. Each question carries 10 marks.
| SECTION A | ||||||||||||||||||||||||||||||||||||||||||||
| 1. | “The scope of application of operation research extends to other economic activities like industry and trade” Explain. | |||||||||||||||||||||||||||||||||||||||||||
| SECTION B | ||||||||||||||||||||||||||||||||||||||||||||
| 2. | A | Explain the characteristics of Operation Research? | ||||||||||||||||||||||||||||||||||||||||||
| OR | ||||||||||||||||||||||||||||||||||||||||||||
| B | Compute the inverse of matrix and find solution of following system of Equations?
x-2y+z=0 3x+3y+3=7 0x+3y+4z=7 |
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| 3. | A | Calculate Coefficient of Rank Correlation from following data (Allot the ranks rom highest to lowest)
X series:48,33,40,09,16,16,65,24,16,57 Y series: 13,13,24,06,16,01,20,09,06,09 |
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| OR | ||||||||||||||||||||||||||||||||||||||||||||
| B | Obtain the initial basic feasible solution of transportation problem by using:-
1)North-West Corner rule 2)Least-Cost Method
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| 4. | A | Solve the following with the help of two phase method
Max Z = x1+x2 Sub to 2×1+x2≥4 x1+7×2≥7 And x1,x2≥0
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| OR | ||||||||||||||||||||||||||||||||||||||||||||
| B | Two products X1 and X2 are processed on three machines A,B and C. the processing time , machine availability and profit per unit is as follows:-
Formulate appropriate linear programming model for this problem and solve with the help of Simplex Method.
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| 5. | A | . A newspaper boy has the following probabilities of selling a magazine
No. of copies sold 10 11 12 13 14 Probability .10 .15 .20 .25 .30 Cost of copy is Rs. 3 and selling price is Rs. 5 . He cannot return
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| OR | ||||||||||||||||||||||||||||||||||||||||||||
| B | Explain the decision rules of decision making under uncertainity? | |||||||||||||||||||||||||||||||||||||||||||
| 6. | A | A and B play a game in which each one has three coins a 5 paisa, a 10 paisa and a 20 paisa coin. Each player selects the coinwithout the knowledge of others choice. If the some of the coins is an odd amount, A wins B’s coin and if sum is even B wins A’s coin. Find the best strategy for each player and value of game. | ||||||||||||||||||||||||||||||||||||||||||
| OR | ||||||||||||||||||||||||||||||||||||||||||||
| B | i) Differentiate between Game theory and Decision theory
ii) Write the characteristics of game.
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| SECTION C | ||||||||||||||||||||||||||||||||||||||||||||
| 7. | Discuss the significance and scope of Operation Research in modern Management?
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| 8. | Solve the following assignment problem of minimizing total time for doing all jobs.
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| 9. | Solve the following with the help of two phase method:-
Max Z = x1+x2 Sub to 2×1+x2≥4 x1+7×2≥7 And x1,x2≥0
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| 10. | A decision problem has been expressed in the following payoff table:-
What will be the manager’s decision if he uses , Maximax criteria Maximin criteria Minimax regret criteria Hurwicz Criteria if α = 0.7
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| 11. | Calculate the value of Game with the help of Oddment’s Method (2×2 game)
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