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# Mathematical Optimization Quiz

### 1. Which of the following terms best defines the process of finding the maximum or minimum values of a function within a given domain?

### 2. In linear programming, what does the feasible region represent?

### 3. Which method is commonly used for finding a local minimum or maximum of a differentiable function?

### 4. What does the term 'convex function' imply about the relationship between any two points on the graph of the function?

### 5. What is the primary purpose of using Lagrange multipliers in optimization problems?

### 6. In the context of optimization, what does a 'dual problem' refer to?

### 7. Which is a key characteristic of the Simplex Method in solving linear programming problems?

### 8. What does the term 'nonlinear programming' specifically refer to in the context of optimization?

### 9. What is the main advantage of piecewise linear approximation in optimization?

### 10. Which of the following best describes the purpose of sensitivity analysis in optimization?