M.Com. (Semester II) (CBCS) Examination Nov/Dec-2018
ADVANCED STATISTICS (Paper
Time: 2½ Hours Max. Marks: 70
Instructions: All questions are compulsory.
Figures to the right indicate full marks.
Q.1 Choose the alternatives given below. 14
CPM is
probabilistic in nature deterministic in nature
both and none of these
PERT stands for
Project Execution in Required Time
Project Evaluation and Review Technique
Project Evaluation in Required Technique
None of these
An important assumption in PERT calculation is
activity times are normally distributed
activity times are independent
a computer will be available for the calculation
and
The maximum duration of an activity in PERT is called as
likely most likely
optimistic pessimistic
The transportation problem with unequal supply and demand is said to be

unequal transportation problem
balanced transportation problem
unbalanced transportation problem
None of the above
PERT was developed by
Team working on the polar's missile programme of U.S. Navy
Walker from E.L. du pont de Nemours Company
Dantizg
None of the above
The purpose of a dummy source or dummy destination in a transportation
problem is to
provide a means of representing a dummy problem
make sure that the total cost does not exceed some specified figure
prevent the solution from becoming degenerate
obtain a balance between total supply and total demand
Which of the following is a method for improving an initial solution in a
transportation problem?
southeast-corner rule northwest-corner
corner-stone intuitive lowest-cost
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Which of the following are simple probabilistic models for items that fail
completely?
Individual replacement policy Group replacement policy
Both and None of these
10) The term ES and LF stands for
Earliest start and Latest Failure Easy start and late failure
Earliest start and latest finish None of these
11) The critical path satisfy the condition that
Ei Li and Ej Lj Li Lj Lj Ei tij
Lj Ei Li Ej d(constant) All of the above
12) While drawing the network diagram, for each activity project, we should look
what activities precede this activity?
what activities follow this activity?
what activities can take place concurrently with this activity?
all of the above
13) The occurrence of degeneracy while solving a T.P. means that
total supply equals total demand
the solution so obtained is not feasible
the few allocations become negative
none of the above
14) The method of solving T.P. is known as
MODI method Reduced matrix method
Hungarian method None of the above
Q.2 Answer the following.
Discuss the transportation problem. Also discuss its mathematical
formulation.
07
Discuss the replacement problem. Also discuss types of replacement
problem.
07
Q.3 Write short notes on the following.
Inventory 07
Project scheduling by CPM 07
Q.4 Attempt any one of the following. 14
Explain in detail the method used for testing an IBFS for optimality in
transportation problem.
Determine IBFS by row minima method for the following transportation
problem:
Demand Points Supply
D1 D2 D3 D4
Sources
S1 2 3 11 7 6
S2 1 0 6 1 1
S3 5 8 15 10 10
Demand 7 5 3 2 17
Q.5 Attempt any one of the following. 14
Discuss the following concepts:
Economic Ordering Quantity
Determination of EOQ by trial and error method.
EOQ model without shortages with uniform demand.
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The time estimates (in hours) for the activities of a PERT network are given
below:
14
Activity t0 tm tp
1-2 1 1 7
1-3 1 4 7
1-4 2 2 8
2-5 1 1 1
3-5 2 5 14
4-6 2 5 8
5-6 3 6 15
Construct a PERT network. Find critical path, expected time estimates
and variance for each event. Find the project duration at 95% probability.