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A project network comprises five activities as shown below. The activity durations. in days. are as indicated. Crashing of any activity costs Rs. 1000 per day. If the project is crashed to the shortest possible duration without changing the critical path the total crashing coso in Rs. is<br><img src="/images/question-image/mining-engineering/mine-system-engineering/1682420873-M2-7-25-22.PNG" title="Mine System Engineering mcq question image" alt="Mine System Engineering mcq question image">
A
5000
B
4000
C
3000
D
2000
Correct Answer:
4000
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In the project network shown activity durations are given in months. If the activity can be crashed to expedite the project, which one would you crash and by how many months?
A
C, 1
B
C, 2
C
D, 1
D
E, 1
The following project network is given with arrows as activities and the numbers by each arrow representing job durations in days. The network has two dummy activities D
1
and D
2
. The minimum completion time of the project in days is
A
13
B
19
C
75
D
68
A mining project comprising of A, B and C activities is scheduled for 90 days at a cost of Rs. 1200 million. The manager of the project decides to reduce the time for completion of the project to 85 days. The decision was taken after 45 days, The minimum cost of the project in million rupees after crashing 5 days is
A
100
B
1300
C
1475
D
1825
Statement I The critical path has been defined as the longest duration path between the first and the last nodes of a project.
Statement II The duration of a project is not always the same as the duration of its critical path.
Statement III The earliest start and finish times of an activity are based on the condition that every activity will not be started and finished as early as possible.
Find the correct answer for given statements being correct or incorrect.
A
Statements I and II are correct, but Statement III is not correct
B
Statements I and III are correct, but Statement II is not correct
C
Statement I is correct, but Statements II and III are not correct
D
Statement II is correct, but Statements I and III are not correct
From the given below statements, find the incorrect statement. i. A critical path has zero float. ii. A critical path has both critical and non-critical activities. iii. A critical path is the longest path and consumes maximum time and resources.
A
i only
B
ii only
C
i and iii only
D
iii only
In a PERT network, the activities on the critical path are a, b and c. The standard deviations of the durations of these activities are 2, 2 and 1 respectively. The variance of the project duration is
A
3
B
5
C
9
D
12
Four mines A, B, C and D are located along a road as shown with production in Mt per year 1, 2, 1 and 3 respectively. In order to handle total coal produced. the ideal distance of a coal washery along the road from the mine A in Km is
A
4.01
B
3.91
C
3.81
D
3.71
A pumping station in a mine has 4 pumps, P
1
, P
2
, P
3
and P
4
which are connected functionally in parallel configuration as shown in the figure. The individual reliability of the pumps P
1
, P
2
, P
3
and P
4
are 0.80, 0.90, 0.85 and 0.95 respectively. For an effective dewatering operation in the mine denoting system success, at least three pumps should be in operation. The reliability of the system is
A
0.19
B
0.93
C
0.99
D
0.58
A bunker-conveyor system as shown in the figure works under the following scheme:
i. Bunker and two conveyors running
ii. Bunker and either of the two conveyors running
If the bunker and the two conveyors have identical reliability of 0.9. the system reliability is
A
0.729
B
0.810
C
0.999
D
0.891
The feasible region of an LP problem is shown as given below. The maximum value of the objective function Z = 1600X
1
+ 1200X
2
is
A
20400
B
20000
C
19200
D
16800