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17 Questions

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Operations Research I: Optimization Models and Solving Techniques

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Questions and Answers

What is the relationship between the model type and solution method in operations research?

The model type determines the solution method

They are both part of the operations research technique (correct)

The solution method determines the model type

They are independent of each other

When a mathematical model is solved, what does it imply about the associated problem?

The problem is partially solved

The problem is solved as well (correct)

The problem is not necessarily solved

The problem is represented more complexly

What is the meaning of the objective function in a mathematical model?

It aims to minimize the profit

It aims to maximize or minimize an outcome like profit (correct)

It represents the decision variables of the model

It represents the constraints of the model

In the provided example, what is the maximum number of units that 𝑿 can take?

$25 Signup and view all the answers

What does it mean when we say a problem is represented mathematically by a model?

The model provides a structured way to analyze and solve the problem Signup and view all the answers

What are parameters in a mathematical model?

Constant values in the equation Signup and view all the answers

What is the main desire of using optimization in mathematical modeling?

Maximizing profit Signup and view all the answers

In the provided model, what does the variable 𝑋 represent?

Number of units sold Signup and view all the answers

What is the purpose of focusing on profit in a mathematical model?

Maximizing the profit Signup and view all the answers

In the context of mathematical modeling, what does the term 'functional relationship' refer to?

A relationship where profit depends on units used Signup and view all the answers

Why are 𝑋 and 𝑍 considered variables in the model?

Because they represent arbitrary values Signup and view all the answers

What should be the objective when working with a function representing cost?

Minimizing the cost Signup and view all the answers

What does the term 'variable' mean in mathematical modeling?

An alphabetic character representing a number Signup and view all the answers

In the context of optimization modeling, what does minimizing loss refer to?

Minimizing negative financial outcomes Signup and view all the answers

What is the role of constraints in a mathematical model?

To provide additional context and limitations to the problem Signup and view all the answers

Why are 𝑋 and 𝑍 termed 'variables' in the mathematical model?

Because no numerical values have been specified for them Signup and view all the answers

In a mathematical model, what does 'objective function' refer to?

A function representing the main goal of optimization Signup and view all the answers