Mine System Engineering - Study Mode

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[#1] 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

(C) An assignment problem

(D) None of the above

Correct Answer

(B) A balanced transportation problem

[#2] The three time estimates of PERT network are assumed to follow

(A) Exponential

(B) Normal

(C) Beta

(D) Gamma

Correct Answer

(C) Beta

[#3] A system consists of four elements A, B, C and D which are connectec functionally in a parallel configuration. The individual reliability of the elements is 0.80, 0.82, 0.85 and 0.90 respectively. The reliability of the system is

(A) 0.498

(B) 0.602

(C) 0.750

(D) 0.999

Correct Answer

(D) 0.999

[#4] 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

Correct Answer

(D) 0.891

[#5] For an LP problem, identify the incorrect statement

(A) Optimal point lies in one of the corner points

(B) Objective function is linear

(C) All the constraints are linear

(D) Optimal point lies in anyone of the interior points of the feasible region

Correct Answer

(D) Optimal point lies in anyone of the interior points of the feasible region