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Mining Engineering · Q41

Mine System Engineering

Engineering and GATE · Mining Engineering · question 41

Q41

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: Mines ↓ Power Plants D E F G A 3.5 4.0 2.5 5.5 B 4.5 3.7 6.0 4.7 C 4.2 3.8 5.2 2.9 The company has to minimize the total cost of transportation to the power plants. The problem is

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:
Mines ↓ Power Plants
D E F G
A 3.5 4.0 2.5 5.5
B 4.5 3.7 6.0 4.7
C 4.2 3.8 5.2 2.9
The company has to minimize the total cost of transportation to the power plants. The problem is
A.
An unbalanced transportation problem
B.
A balanced transportation problem
Answer
C.
An assignment problem
D.
None of the above

Answer: Option B

Solution

Answer: Option B
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