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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<br>
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
Correct Answer:
31400
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
"It is now expected that the variable production cost per unit and the selling price per unit will each increase by 10%, and fixed production cost will rise by 25%. What will be the new break even point?
Selling price - Rs 6 per unit
Variable production cost - Rs 1.20 per unit
Variable selling cost - Rs 0.40 per unit
Fixed production cost - Rs 4 per unit
Fixed selling cost - Rs 0.80 per unit
Budgeted production and sales for the year are 10,000 units."
A
8,788 units
B
11,600 units
C
11,885 units
D
12,397 units
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
"What is the company's breakeven point:
Selling price - Rs 6 per unit
Variable production cost - Rs 1.20 per unit
Variable selling cost - Rs 0.40 per unit
Fixed production cost - Rs 4 per unit
Fixed selling cost - Rs 0.80 per unit
Budgeted production and sales for the year are 10,000 units."
A
8,000 units
B
8,333 units
C
10,000 units
D
10,909 units
"How many units must be sold if company wants to achieve a profit of Rs 11,000 for the year?
Selling price - Rs 6 per unit
Variable production cost - Rs 1.20 per unit
Variable selling cost - Rs 0.40 per unit
Fixed production cost - Rs 4 per unit
Fixed selling cost - Rs 0.80 per unit
Budgeted production and sales for the year are 10,000 units."
A
2,500 units
B
9,833 units
C
10,625 units
D
13,409 units
An O.C. mine requires 16 blocks of overburden of 3000 te each to mine 4 blocks of coal of 2000 te each. The mining cost of both overburden and coal is Rs. 50 per tonne. The cost of transportation of overburden to dump areas is Rs. 50 per tonne. Coal transportation cost to the selling point is Rs. 75 per tonne. The price of coal is Rs. 800 per tonne, If the royalty and tax to the state is Rs. 50 per tonne, the nominal profit in rupees is
A
2,00,000
B
20,00,000
C
30,00,000
D
50,00,000
Chemical engineering plant cost index is used for finding the present cost of a particular chemical plant, if the cost of similar plant at some time in the past is known.
The present cost of the plant = $${\text{original cost}} \times \frac{{{\text{index value at present}}}}{{{\text{index value at time original cost was obtained}}}}.$$
The most major component of this cost index is
A
Fabricated equipment and machinery
B
Process instruments and control
C
Pumps and compressor
D
Electrical equipments and material
Jay wants to buy a total of 100 plants using exactly a sum of Rs 1000. He can buy Rose plants at Rs 20 per plant or marigold or Sun flower plants at Rs 5 and Re 1 per plant respectively. If he has to buy at least one of each plant and cannot buy any other type of plants, then in how many distinct ways can Jay make his purchase?
A
3
B
6
C
4
D
2
Jay wants to buy a total of 100 plants using exactly a sum of Rs. 1000. He can buy Rose plants at Rs. 20 per plant or marigold or Sun flower plants at Rs. 5 and Rs. 1 per plant respectively. If he has to buy at least one of each plant and cannot buy any other type of plants, then in how many distinct ways can Jay make his purchase?
A
2
B
3
C
4
D
5
E
None of these
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
