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Consider the following statements:
Linear programming model can be applied to:
1. Line balancing problem
2. Transportation problem
3. Project ma nagement
1. Line balancing problem
2. Transportation problem
3. Project ma nagement
Of these statements:
- a)1, 2 and 3 are correct
- b)1 and 2 are correct
- c)2 and 3 are correct
- d)1 and 3 are correct.
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Consider the following statements:Linear programming model can be appl...
Linear programming model can be applied to line balancing problem and transportation problem but not to project management.
Most Upvoted Answer
Consider the following statements:Linear programming model can be appl...
Linear programming model can be applied to:
1. Line balancing problem:
A line balancing problem is a common optimization problem in manufacturing industries. It involves distributing tasks among workstations in such a way that the workload is evenly balanced and the production efficiency is maximized. Linear programming can be applied to solve this problem by formulating it as a mathematical model with linear constraints and an objective function. The objective function can be to minimize the total idle time or to maximize the production rate.
2. Transportation problem:
The transportation problem is another important application of linear programming. It involves finding the optimal transportation plan to minimize transportation costs while satisfying supply and demand constraints. Linear programming can be used to solve this problem by formulating it as a linear optimization problem. The decision variables represent the quantities of goods to be transported between different sources and destinations, and the objective function is to minimize the total transportation cost.
3. Project management:
Linear programming can also be applied to project management problems. Project management involves scheduling activities, allocating resources, and optimizing project duration. Linear programming models can be used to optimize project scheduling by considering the dependencies between activities, resource constraints, and project objectives. The decision variables represent the start and finish times of activities, and the objective function can be to minimize the project duration or to maximize resource utilization.
Conclusion:
Based on the given statements, option B is correct. Both statement 1 and statement 2 are correct. Linear programming can be applied to solve line balancing problems and transportation problems. However, statement 3, which states that linear programming can be applied to project management, is incorrect. While linear programming techniques can be used in certain aspects of project management, such as scheduling and resource allocation, it is not a comprehensive approach for project management as it does not consider all the complexities and uncertainties associated with project execution.
1. Line balancing problem:
A line balancing problem is a common optimization problem in manufacturing industries. It involves distributing tasks among workstations in such a way that the workload is evenly balanced and the production efficiency is maximized. Linear programming can be applied to solve this problem by formulating it as a mathematical model with linear constraints and an objective function. The objective function can be to minimize the total idle time or to maximize the production rate.
2. Transportation problem:
The transportation problem is another important application of linear programming. It involves finding the optimal transportation plan to minimize transportation costs while satisfying supply and demand constraints. Linear programming can be used to solve this problem by formulating it as a linear optimization problem. The decision variables represent the quantities of goods to be transported between different sources and destinations, and the objective function is to minimize the total transportation cost.
3. Project management:
Linear programming can also be applied to project management problems. Project management involves scheduling activities, allocating resources, and optimizing project duration. Linear programming models can be used to optimize project scheduling by considering the dependencies between activities, resource constraints, and project objectives. The decision variables represent the start and finish times of activities, and the objective function can be to minimize the project duration or to maximize resource utilization.
Conclusion:
Based on the given statements, option B is correct. Both statement 1 and statement 2 are correct. Linear programming can be applied to solve line balancing problems and transportation problems. However, statement 3, which states that linear programming can be applied to project management, is incorrect. While linear programming techniques can be used in certain aspects of project management, such as scheduling and resource allocation, it is not a comprehensive approach for project management as it does not consider all the complexities and uncertainties associated with project execution.
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Consider the following statements:Linear programming model can be applied to:1. Line balancing problem2. Transportation problem3. Project ma nagementOf these statements:a)1, 2 and 3 are correctb)1 and 2 are correct c)2 and 3 are correctd)1 and 3 are correct.Correct answer is option 'B'. Can you explain this answer?
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