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The steps followed for the development of linear programming model are
1. state of problem in the form of a linear programming model
2. determine the decision variables
3. write the objective function
4. develop inequations (or equations) for the constraints.
The correct order is
1. state of problem in the form of a linear programming model
2. determine the decision variables
3. write the objective function
4. develop inequations (or equations) for the constraints.
The correct order is
- a)1, 2, 3, 4
- b)2, 1,3, 4
- c)4, 1 2, 3
- d)4, 3 ,2 , 1
Correct answer is option 'C'. Can you explain this answer?
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The steps followed for the development of linear programming model are...
Linear Programming Model Development Process
The correct order of steps followed for the development of a linear programming model is 4, 1, 2, 3. Let's discuss each step in detail:
Step 4: Develop Inequations (or Equations) for the Constraints
- This step involves formulating the constraints that restrict the feasible region of the problem.
- Constraints are the limitations or restrictions that must be adhered to in order to find the optimal solution.
- Constraints can be represented as inequalities (inequations) or equalities (equations).
- These constraints can include limitations on resources, capacity, demand, time, etc.
Step 1: State the Problem in the Form of a Linear Programming Model
- In this step, the problem is transformed into a mathematical model based on linear relationships.
- The decision variables, objective function, and constraints are defined.
- The problem is analyzed to identify the goal or objective that needs to be maximized or minimized.
Step 2: Determine the Decision Variables
- Decision variables are the unknown quantities that need to be optimized in the problem.
- They represent the choices or decisions that the decision-maker can make.
- Decision variables are usually denoted by symbols and can be continuous or discrete.
Step 3: Write the Objective Function
- The objective function represents the goal or objective that needs to be optimized.
- It is a mathematical representation of the quantity that needs to be maximized or minimized.
- The objective function is typically a linear equation, although it can also be nonlinear in some cases.
Correct Order: 4, 1, 2, 3
- The correct order of steps for the development of a linear programming model is 4, 1, 2, 3.
- First, we need to formulate the constraints (inequations or equations) that define the limitations of the problem.
- Then, we state the problem in the form of a linear programming model by defining the objective function and decision variables.
- Finally, we determine the decision variables and write the objective function based on the problem requirements.
Summary:
The correct order for the development of a linear programming model is 4, 1, 2, 3. Constraints are formulated first, followed by stating the problem in the form of a linear programming model, determining the decision variables, and writing the objective function. This sequential process allows for the systematic formulation and optimization of the problem.
The correct order of steps followed for the development of a linear programming model is 4, 1, 2, 3. Let's discuss each step in detail:
Step 4: Develop Inequations (or Equations) for the Constraints
- This step involves formulating the constraints that restrict the feasible region of the problem.
- Constraints are the limitations or restrictions that must be adhered to in order to find the optimal solution.
- Constraints can be represented as inequalities (inequations) or equalities (equations).
- These constraints can include limitations on resources, capacity, demand, time, etc.
Step 1: State the Problem in the Form of a Linear Programming Model
- In this step, the problem is transformed into a mathematical model based on linear relationships.
- The decision variables, objective function, and constraints are defined.
- The problem is analyzed to identify the goal or objective that needs to be maximized or minimized.
Step 2: Determine the Decision Variables
- Decision variables are the unknown quantities that need to be optimized in the problem.
- They represent the choices or decisions that the decision-maker can make.
- Decision variables are usually denoted by symbols and can be continuous or discrete.
Step 3: Write the Objective Function
- The objective function represents the goal or objective that needs to be optimized.
- It is a mathematical representation of the quantity that needs to be maximized or minimized.
- The objective function is typically a linear equation, although it can also be nonlinear in some cases.
Correct Order: 4, 1, 2, 3
- The correct order of steps for the development of a linear programming model is 4, 1, 2, 3.
- First, we need to formulate the constraints (inequations or equations) that define the limitations of the problem.
- Then, we state the problem in the form of a linear programming model by defining the objective function and decision variables.
- Finally, we determine the decision variables and write the objective function based on the problem requirements.
Summary:
The correct order for the development of a linear programming model is 4, 1, 2, 3. Constraints are formulated first, followed by stating the problem in the form of a linear programming model, determining the decision variables, and writing the objective function. This sequential process allows for the systematic formulation and optimization of the problem.
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The steps followed for the development of linear programming model are1. state of problem in the form of a linear programming model2. determine the decision variables3. write the objective function4. develop inequations (or equations) for the constraints.The correct order isa)1, 2, 3, 4b)2, 1,3, 4c)4, 1 2, 3d)4, 3 ,2 , 1Correct answer is option 'C'. Can you explain this answer?
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