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SEC B -- data.analytics.ims.secb@gmail.com, before 12.15, No Late Submissions would be entertained.
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INSTITUTE OF MANAGEMENT STUDIES
DEVIAHILYA VISHWAVIDHYALAYA, INDORE, April_2021
MBA (Marketing Management) II Internal
Operations Research, SEMESTER II
TIME: 1 Hrs.
Max Marks: 20
Q.1 There are five plants located in different cities of the company and manufacture a common product A. The
product is to be stored in 5 zonal warehouses for distribution to retailers. These warehouses are at 5 other cities
than above. The fright cost in rupees per unit for shipping the product from a plant to a warehouse is given as
follows.
Marks:10
plants \ Warehouses
P1
P2
P3
P4
P5
Required quantity
W1
14
12
9
4
8
300
W2
10
8
7
7
9
500
W3
9
5
8
9
9
300
W4
7
5
6
9
10
400
W5
7
7
6
15
16
600
Availability
800
200
600
100
400
(a) Obtain the optimal quantity to be shipped from the plants to the warehouses, to minimize total
transportation cost. (b) What is the total freight bill?
Q. 2 Following mortality rates have been observed for a certain of fuses:
Week:
1
2
3
4
5
%Failure by the end of week:
5
15
35
75
100
Marks:5
There are 1,000 of fuses in use and its cost Rs. 5 to replace an individual fuse if all were replaced simultaneously
it cost Rs. 1.25 per fuse. What replacement policy from group and individual shall be followed?
(a) Calculate average life of fuses.
(b) Determine if the policy of group replacement is superior to policy of individual replacement.
Q. 3 A single counter ticket booking center employs one booking clerk. A passenger on arrival immediately goes
to the booking counter for billing, served if the counter is free. If, on the other hand, the counter is engaged,
the passenger will have to wait. The passenger are served on first come first served basis. The time of arrival
and the time of service varies from one minute to six minutes. The distribution of arrival and the time-ofservice time is as under:
Arrival/Service time (Minutes):
1
2
3
4
5
6
Arrival (Probability)
: 0.05
0.20 0.35 0.25 0.10 0.05
Service (Probability)
:
0.10 0.20 0.40 0.20 0.10 -(a) Simulate the arrival services of 10 passenger starting from 9 am by using the following random no. in
pairs resp. for arrival and services. 6009,1612,0818,3665,3825, 0711, 0879, 5961, 5377, 0310.
(b) Determine the total duration of Idle time of booking clerk and waiting time of passengers. Marks: 5
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