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Consider the following statements: Linear programming model can be applied to
1. Line balancing problem
2. Transportation problem
3. Network scheduling
Which of these are correct statements?
  • a)
    1,2 and 3
  • b)
    1 and 2
  • c)
    2 and 3
  • d)
    1 and 3
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Consider the following statements: Linear programming model can be app...

Linear Programming Model Applications:

Linear programming models can be applied to various optimization problems. Let's discuss the correct statements mentioned in the question:


Line Balancing Problem:

- In line balancing, the goal is to optimize the production line by distributing work among different workstations to minimize idle time and increase efficiency.
- Linear programming can be used to allocate tasks to workstations in a way that minimizes the total time required to complete all tasks, considering constraints such as workstation capacities and task requirements.


Transportation Problem:

- The transportation problem involves optimizing the transportation of goods from multiple sources to multiple destinations.
- Linear programming can be applied to determine the optimal transportation plan that minimizes total transportation costs while satisfying supply and demand constraints.


Network Scheduling:

- Network scheduling involves scheduling activities in a project network to minimize the project duration or cost.
- Linear programming can be used to optimize the project schedule by determining the earliest start and finish times for each activity while considering precedence relationships and resource constraints.


Therefore, the correct statements are:
- Linear programming model can be applied to Line balancing problem (1) and Transportation problem (2).

Hence, the correct answer is option 'B' (1 and 2).
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