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Hall Ticket No
Time: 3 Hours
Question Paper Code: CMB011
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MBA III Semester End Examinations (Supplementary) - April, 2019
Regulation: .-R16
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Quantitative Analysis for Business Decisions
(MBA)
Answer ONE Question from each Unit
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All Questions Carry Equal Marks
All parts of the question must be answered in one place only
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UNIT - I
Max Marks: 70
- (a) Describe the different steps followed in OR Model to provide better solution. [7M]
(b) List important Features and limitations of OR solutions. [7M] - (a) State and explain classification of different Models available in Practice. [7M]
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(b) Explain the origin of OR in brief and write its applications. [7M]
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UNIT II
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- (a) A company is producing three products A,B and C. Formulate an LPP model to maximise the
Profit for the following collected data given in Table 1; [7M]--- Content provided by FirstRanker.com ---
Table 1
Factor --- Content provided by FirstRanker.com ---
A B C Availability --- Content provided by FirstRanker.com ---
Selling Price/unit 500 300 400 --- Content provided by FirstRanker.com ---
Raw Material /unit 15 units --- Content provided by FirstRanker.com ---
5 units 10 Units more than 2000 units --- Content provided by FirstRanker.com ---
Labor Hours/Unit 8 4 5 Less than 1200Hrs. --- Content provided by FirstRanker.com ---
Machine Hours/Unit 4 2 --- Content provided by FirstRanker.com ---
3 200 Hrs. --- Content provided by FirstRanker.com ---
(b) Solve the following LPP by graphical method [7M]
Max Z=5x+3y
Subject to constraints--- Content provided by FirstRanker.com ---
2x+y = 1000
x=400--- Content provided by FirstRanker.com ---
y=700
x,y=0 - (a) Find the non-degenerate Initial solution by VAM to the following TPM Table 2. [7M]
Table 2
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Factory/Warehouse W1 W2 W3 --- Content provided by FirstRanker.com ---
Supply A 6 --- Content provided by FirstRanker.com ---
4 1 50 --- Content provided by FirstRanker.com ---
B 3 8 7 40 --- Content provided by FirstRanker.com ---
C 4 4 --- Content provided by FirstRanker.com ---
2 60 Demand --- Content provided by FirstRanker.com ---
20 95 35 --- Content provided by FirstRanker.com ---
(b) Is the following Initial solution given in Table 3 is Optimal? Check using MODI method [7M]Table 3
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From/To W1 --- Content provided by FirstRanker.com ---
W2 W3 Supply --- Content provided by FirstRanker.com ---
A 6 4(15) 1(35) 50 --- Content provided by FirstRanker.com ---
B 3(20) 8(20) --- Content provided by FirstRanker.com ---
7 40 C --- Content provided by FirstRanker.com ---
4 4(60) 2 60 --- Content provided by FirstRanker.com ---
Demand 20 95 35 --- Content provided by FirstRanker.com ---
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UNIT - III
- (a) Describe the steps in solving a Maximisation Assignment model by Hungarian method. [7M]
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(b) Find the optimal solution to following Maximisation assignment problem given in Table 4. (sales
in 000 value) [7M]Table 4
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A --- Content provided by FirstRanker.com ---
B C D E --- Content provided by FirstRanker.com ---
W1 32 38 40 --- Content provided by FirstRanker.com ---
28 40 W2 --- Content provided by FirstRanker.com ---
40 24 28 21 36 --- Content provided by FirstRanker.com ---
W3 41 27 --- Content provided by FirstRanker.com ---
33 30 37 --- Content provided by FirstRanker.com ---
W4 22 38 41 36 --- Content provided by FirstRanker.com ---
36 W5 29 --- Content provided by FirstRanker.com ---
33 40 35 39 --- Content provided by FirstRanker.com ---
- (a) Describe the Travelling Salesman model with one example. [7M]
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(b) Find the optimal route to the following Travelling salesman model given in Table 5 [7M]Table 5
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A B C --- Content provided by FirstRanker.com ---
D A X --- Content provided by FirstRanker.com ---
12 17 3 --- Content provided by FirstRanker.com ---
B 12 X 6 3 --- Content provided by FirstRanker.com ---
C 17 6 --- Content provided by FirstRanker.com ---
X 7 D --- Content provided by FirstRanker.com ---
3 3 7 X --- Content provided by FirstRanker.com ---
UNIT - IV
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- (a) With an example describe the Criterion of Pessimism [7M]
(b) Solve the following Table 6 using Min-Max regret criterion values given in Lakhs.. [7M]--- Content provided by FirstRanker.com ---
Table 6
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Strategies Nature --- Content provided by FirstRanker.com ---
S1 S2 S3 --- Content provided by FirstRanker.com ---
N1 17 13 12 --- Content provided by FirstRanker.com ---
N2 15 14 10 --- Content provided by FirstRanker.com ---
N3 13 15 --- Content provided by FirstRanker.com ---
13 - (a) Discuss the various types of decision making environments in detail along with different decision
making techniques. [7M]
(b) The following information given in Table 7 available related to a Rental car system. Cars have
fixed cost of Rs. 400/- per day and variable cost of Rs.800. If the rental car owner has 4 vehicles,--- Content provided by FirstRanker.com ---
what are its daily expectations? If it is required to start new business without any cars how
many cars he has to buy? [7M]Table 7
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Number of cars demand 0 1 --- Content provided by FirstRanker.com ---
2 3 4 --- Content provided by FirstRanker.com ---
Probability 0.1 0.2 0.3 0.2 --- Content provided by FirstRanker.com ---
0.2
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UNIT - V
- (a) Describe the operating characteristics of Queuing system with an example [7M]
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(b) Describe the various service process followed in practice with one example . [7M] - (a) What is queue system and explain various applications of queuing models. [7M] Arrivals at
Railway Ticketing booth are considered to be Poisson with an average time of 5 minutes between--- Content provided by FirstRanker.com ---
one arrival and next. The length of service is assumed to be exponentially distributed with a
mean time of 4 Minutes. [7M]- What is the probability that a person arriving at the ticket booth will have to wait?
- What is the average length of queue?
- What is the expected number of customers in the system?
- If the average time spent by customer in queue is more than 5 minutes a second Ticket booth
will be operated. Is second Ticket booth is required?
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