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Posted Date: 23 Jul 2009      Posted By:: sumit aggarwal    Member Level: Silver    Points: 5 (Rs. 1)

# 2009 Gautam Buddh Technical University (Formerly UPTU) M.B.A Business Administration OPERATION RESEARCH Question paper

Q1 Describe the relevance of operation research in business and industry for scientific decision making.Give some examples to support your statement.

Q2 What is the concept of model formulation in operation research?Explain it in the light of OR methodology.

Q3 solve by simplex
Max. Z=50X1+40X2
Subject to: 1.5X1+2.5X2<_80
2X1+1.5X2<_70

Q4A publisher publishes a book by composing,printing and binding.Time taken by each of the aboveprocess is known and is follows:
Books 1 2 3 4 5
composing 40 90 80 60 50
printing 50 60 20 30 40
binding 80 10 60 70 110
If there are 5 books to be published. determine the optimal sequence and total elapsed time with the idle time of all the processing.

Q5 Gives short notes on(any two):
i. Degeneracy in transportation
ii. Dummy activity
iii. No passing rule

Q6 Solve the Game

B1 B2 B3
A1 1 7 2
A2 6 2 7
A3 5 1 6

Q7 Solve by VAM and optimize by MODI method.

w1 w2 w3 w4
f1 10 2 20 11 15
f2 12 7 9 20 25
f3 4 14 16 18 10
5 15 15 15 50

Q8 What is the critical path? Why is it of such impotance in large projects?Can it be changed during the course of a project?Why?

Q9 A company has purchased an electric motor for Rs10000/-. Its running cost and resale prices are estimated as.
YEAR : 1 2 3 4 5 6 7
RUNNING COST: 1500 1900 2300 2900 3600 4500 5500
RESALE PRICE: 5000 2500 1250 600 400 400 400
What is the optimum period of replacement?

Q10 A project with normal duration and cost along with crash duration and cost for each activity is given below.
ACTIVITY NORMAL TIME NORMAL COST CRASH TIME CRASH COST
1-2 6 1400 4 1900
1-3 8 2000 5 2800
2-3 4 1100 2 1500
2-4 3 800 2 1400
3-4 - - - -
3-5 6 900 3 1600
4-6 10 2500 6 3500
5-6 3 500 2 800

The indirect cost of the project is Rs300/- per day.Find out the optimum project duration and cost.

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