Industrial Engineering Miscellaneous
- The critical path duration of the network (in days) is
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EST = Earliest start time
LFT = Latest Finish Time
∴ Path along which EST & LFT is equal are called critical path
Critical path duration is 18 days.Correct Option: D
EST = Earliest start time
LFT = Latest Finish Time
∴ Path along which EST & LFT is equal are called critical path
Critical path duration is 18 days.
- Let Y1 and Y2 be the decision variables of the dual and v1 and v2 be the slack variables of the dual of the given linear programming problem. The optimum dual variables are
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The optimal dual variables are V1 & V2.
Correct Option: D
The optimal dual variables are V1 & V2.
- If an additional constraint X1 + X2 ≤ 5 is added, the optimal solution is
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Max z = x1 + x2
As feasibly region remains the same solution remains the same (4/3, 4/3).
Hence, the correct option is (b).Correct Option: B
Max z = x1 + x2
As feasibly region remains the same solution remains the same (4/3, 4/3).
Hence, the correct option is (b).
- The sale of cycles in a shop in four consecutive months are given as 70, 68, 82, 95. Exponentially smoothing average method with a smoothing factor of 0.4 is used in forecasting. The expected number of sales in the next month is
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Ft+1 = Dt + α(1 – α) Dt–1 + α(1 – α) ² Dt–2
Ft+1 = 0.4 (95) + 0.4 (1 – 0.4)² + α(1 – α)³ Dt–3 + (0.4) (1 – 0.4)² × 68 + (0.4) (1 – 0.4)³ × 70
Ft–1 = 73.52 unitsCorrect Option: C
Ft+1 = Dt + α(1 – α) Dt–1 + α(1 – α) ² Dt–2
Ft+1 = 0.4 (95) + 0.4 (1 – 0.4)² + α(1 – α)³ Dt–3 + (0.4) (1 – 0.4)² × 68 + (0.4) (1 – 0.4)³ × 70
Ft–1 = 73.52 units
- In inventory planning, extra inventory is unnecessarily carried to the end of the planning period when using one of the following lot size decision policies:
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NA
Correct Option: B
NA
