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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 D are 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:<br>
A
<table class="table-style-1"> <tr> <td rowspan="2"></td> <td colspan="4">Destinations</td> </tr> <tr> <td></td> <td>X</td> <td>Y</td> <td>Z</td> </tr> <tr> <td>Locations</td> <td>A</td> <td>20</td> <td>70</td> <td>40</td> </tr> <tr> <td></td> <td>B</td> <td>30</td> <td>30</td> <td>10</td> </tr> <tr> <td></td> <td>C</td> <td>50</td> <td>40</td> <td>70</td> </tr> <tr> <td></td> <td>D</td> <td>10</td> <td>60</td> <td>20</td> </tr></table><br>The total cost of transportation in rupees based on the initial basic feasible solution obtained by the north-west corner rule is 760
B
800
C
1020
D
1110
Correct Answer:
1020
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:
A
<table class="table-style-1"> <tr> <td rowspan="2"></td> <td colspan="4">Destinations</td> </tr> <tr> <td></td> <td>X</td> <td>Y</td> <td>Z</td> </tr> <tr> <td>Locations</td> <td>A</td> <td>20</td> <td>70</td> <td>40</td> </tr> <tr> <td></td> <td>B</td> <td>30</td> <td>30</td> <td>10</td> </tr> <tr> <td></td> <td>C</td> <td>50</td> <td>40</td> <td>70</td> </tr> <tr> <td></td> <td>D</td> <td>10</td> <td>60</td> <td>20</td> </tr></table>The total number of basic variables obtained based on the initial basic feasible solution is 3
B
4
C
6
D
7
Figure shows a two pulley system for hoisting a load of 10 kN. The coefficient of friction between each pulley and the rope is 0.2. The vertical and horizontal distances between the centers of the pulleys are 25m and 16m respectively. The tensions T
1
and T
2
respectively in kN are
A
6.00, 5.38
B
12.37, 11.06
C
18.74, 16.73
D
25.11, 22.41
A two tonne mine car is released from the top of an incline at a height of 3m as shown in the figure. The mine car travels 45m along the inclined track and another 85m along the horizontal track before coming to rest. The specific rolling resistance of the, car in N/tonne is
A
0.226
B
0.326
C
0.526
D
0.126
The following characteristic curves (P, Q, R, S) pertain to rotary drilling in rock.
Title of the curve
I : Torque versus RPM
II: Rate of penetration versus uniaxial compressive strength of rock
III : Rate of penetration versus weight on bit
IV : Specific energy versus weight on bit
Match the curves with their titles
A
P-III, Q-IV, R-II, S-I
B
P-II, Q-IV, R-I, S-III
C
P-IV, Q-III. R-II, S-I
D
P-I, Q-III, R-II, S-IV
Raw material purchased:
1
st
January, 600 units @ Rs. 12 per unit
12
th
January, 500 units @ Rs. 14 per unit
21
st
January, 300 units @ Rs. 13 per unit
Raw material issued for manufacture:
3
rd
January 300 units
5
th
January 124 units
15
th
January 250 units
16
th
January 300 units
Raw material returned to stores from manufacturing department on 14
th
January, 50 units. The material is issued on First-in-First out method.
The value of material remaining in store on 21
st
January will be:
A
5,775
B
6,100
C
6,350
D
6,600
A mining company has three mines (MI, M2 and M3) that supply coal to three power plants (P1, P2 and P3). The three mines produce 900. 1000 and 1200 te of coal per day respectively. The power plant requirements from these three mines are 1200. 1000 and 900 te per day respectively. The unit cost of transporting coal from the three mines to the three power plants in Rs. is given below
A
<table class="table-style-1"> <tr> <td rowspan="2" colspan="2"></td> <td colspan="3">Power Plants</td> </tr> <tr> <td>P1</td> <td>P2</td> <td>P3</td> </tr> <tr> <td rowspan="3">Mines</td> <td>M1</td> <td>8</td> <td>10</td> <td>12</td> </tr> <tr> <td>M2</td> <td>12</td> <td>13</td> <td>12</td> </tr> <tr> <td>M3</td> <td>14</td> <td>10</td> <td>11</td> </tr></table><br>Based on the initial basic feasible solution, using Vogel's approximation method, the total transportation cost in Rs. is 31200
B
31400
C
32800
D
40000
A company has three mines at locations A, B and C, which supply coal to power plants at D, E, F and G. Mines A, B and C produce 1800 t/day, 1700 t/day, and 2900 t/day respectively. Daily raw coal requirements at the power plants D, E, F and G from these mines are 2050 t, 1600 t, 1300 t, and 1450 t respectively. Unit transportation costs are as follows:
A
<table class="table-style-1"> <tr> <td rowspan="2">Mines ↓</td> <td colspan="4">Power Plants</td> </tr> <tr> <td>D</td> <td>E</td> <td>F</td> <td>G</td> </tr> <tr> <td>A</td> <td>3.5</td> <td>4.0</td> <td>2.5</td> <td>5.5</td> </tr> <tr> <td>B</td> <td>4.5</td> <td>3.7</td> <td>6.0</td> <td>4.7</td> </tr> <tr> <td>C</td> <td>4.2</td> <td>3.8</td> <td>5.2</td> <td>2.9</td> </tr></table>The company has to minimize the total cost of transportation to the power plants. The problem is An unbalanced transportation problem
B
A balanced transportation problem
C
An assignment problem
D
None of the above
In an opencast mine shown in the figure below, the coal has a density of 1.4 t/m
3
. Assuming mining operation started from plane XY, the operating stripping ratio under the given conditions in m
3
/t is
A
2.32
B
2.47
C
2.56
D
2.64
A flat coal seam of thickness (t) 3m is excavated and broken roof rock has completely filled the space created due to extraction as shown in the figure. If the bulking factor of roof rock is 1.2. the caving height (H) in m is
A
15
B
16
C
14
D
12
A vertical ore body having a consistent width of 100 m has been excavated by the open pit method up to a depth of 100 m at a pit slope angle of 45°. The figure shows the cross section of the open pit. If the ore body is further excavated by a depth of 10 m, maintaining the same pit slope angle, the ratio of waste rock to ore is
A
1.2
B
2.1
C
3.0
D
3.9
