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11
The feasibility region of an LP problem in variable x and y is given by the following constraints, in addition to the non- negativity constraints.
y ≤ 60; x ≤ 90; x + y ≤ 70
The numbers of corner point feasible solutions for this problem are
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Answer: Option B
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12
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
Mine System Engineering mcq question image
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Answer: Option B
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13
The failure and the repair rates of a shovel are 0.06 hr-1 and 0.04 hr-1 respectively. The availability of the shovel in percentage is
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Answer: Option A
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14
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
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Answer: Option C
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15
A mining machinery company has four plants at locations A, B, C, and D and three warehouses at destinations X, Y and Z. The number of machine units available at the plants A, B, C and Dare 5, 8, 7 and 14 respectively. The demands at X, Y and Z are 7, 9 and 18 respectively. The unit costs of transportation in rupees as follows:
Destinations
X Y Z
Locations A 20 70 40
B 30 30 10
C 50 40 70
D 10 60 20
The total number of basic variables obtained based on the initial basic feasible solution is
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Answer: Option C
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16
The solution of the following system of linear equations is
x + 4y + 3z = 0
3x + 5y + 2z = 0
8x + 10y + 12z = 0
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Answer: Option A
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17
In PERT network, the activity duration is assumed to follow
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Answer: Option A
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18
In an opencast mine loading and transporting has been carried out by shovel dumper combination. There is only one shovel is in operation. Dumpers arrive at the rate of 10 dumpers per hour and it takes shovel on an average 5 minutes to load a dumper. Assume arrival is Poisson and service time is exponentially distributed. What is expected idle time of a dumper in the system?
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Answer: Option A
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19
A queue of trucks at a crusher plant hopper is known to be M/M/1 queue. The probability that there is no truck to unload is 0.3. Due to rains the mean service time at the hopper is increased by 30%. As a consequence, the expected number of trucks in the queuing system (including the one possibly unloading) becomes
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Answer: Option A
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20
In an opencast mine loading and transporting has been carried out by shovel dumper combination. There is only one shovel is in operation. Dumpers arrive at the rate of 10 dumpers per hour and it takes shovel on an average 5 minutes to load a dumper. Assume arrival is Poisson and service time is exponentially distributed. Find the proportion of time the shovel is busy.
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Answer: Option A
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