Quantitative Analysis For Business Decisions Set1

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Code No: 23MBA
R5-R7
M.B.A. II Semester Supplimentary Examinations, January 2009
QUANTITATIVE ANALYSIS FOR BUSINESS DECISIONS
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Time: 3 hours Max Marks: 60
Answer any FIVE Questions
All Questions carry equal marks
1. Discuss the scope of Operations Research.
2. Describe the various decision making environments. Under what conditions would a
ma jority of one be a satisfactory approach to making decisions? Should a ma jority
of one ever be the basis for action? What kind of decision-making models facilitate-
m
hinder decentralization?
3. A manufacturing unit of super Scooters Ltd. Products three components C1, C2
and C3 that are used in production of scooters. Each component can be produced
co
on either one or two machine M and N. The time required to produce one unit of
each component on a machine is presented here:
Time in hours
gi.
Component Machine M Machine N
C1 0.5 0.6
C2 0.7 0.8
C3 0.9 1.05
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The operating cost is Rs. 6 per hour for machine M and Rs. 4 for machine N. the
main production centre of the company has sent the requirements for at least 80
units of C1 and C2 each, and not less than 50 units of C3.
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Each machine can be operated for 8 hours per day. It has been informed that the
i.cen
machines are due for repairs just after 10 days so that only 80 hours are available
on each machine. If the manufacturing unit wishes to minimize the operating cost,
your are required to formulate the above problem as an LPP.
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4. A company has factories at four di erent places (1,2,3 and 4) which supply items
to warehouses A,B,C,D and E. Monthly factory capacities are 200,175,150 and 325,
respectively. Monthly warehouse requirements are 110, 90,120,230 and 160 respec-
tively. Unit shipping costs ( in rupees) are given in the following table.
From To
nty.s
ABCDE
1 13 - 31 8 20
de w
2 14 9 17 26 10
3 25 11 12 17 15
4 10 21 13 - 17
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Code No: 23MBA
R5-R7
Shipments from 1 to B and from 4 to D are not possible. Determine the optimum
distribution plan to minimize the shipping cost.
5. (a) Determine which of the following two person zero sum games are strictly de-
terminable and fair. Give optimum strategies for each player in the case of
strictly determinable games:
player B
50
i. player
02
B
02
ii. A
-1 4
m
(b) Determine the range of values of P and Q that will make the pay-o element
a22 a saddle point for the game whose pay-o matrix (aij) is given below.
o
Player B
245
i.c
Player A 10 7 q
4q8
6. (a) State some of the important distributions of arrival intervals and service times.
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(b) In a car gaurage A, if takes 15 minutes to wash one car. Cars arrive to
the gaurage at an average rate of one every 25 minutes and arrival process is
Poisson. In Car-gaurage B, it takes 25 minutes to wash one car and cars arrive
to this shop at an average rate of one every 45 minutes, the arrival process
nty
being Poisson during steady state. Determine:
i. At which gaurage you expect the bigger queue.
ii. At which gaurage you require more times waiting including the service
time.
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7. (a) Discuss the general features of the discrete simulation languages.
(b) Discuss signi cance of validation of Simulation model.
8. (a) What is the di erence between the time estimates of a PERT activity and a
stu
CPM activity?
(b) Distinguish between an activity and an event.
(c) State Fulkerson‘s rule for numbering the nodded in network.
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