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Mastering Optimization with Python

Basic Optimization Problems

Explore basic optimization problem-solving methods using Python. Understand how to formulate and solve problems involving minima, maxima, and simple constraints, including practical examples such as minimizing production costs. This lesson helps build foundational skills for tackling optimization challenges using essential mathematics and programming.

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Now we’re going to view some problems that can be solved with what we know already. We can solve optimization problems even without knowing sophisticated algorithms. These exercises will allow us to grasp optimization fundamentals better. Here we go!

Exercise 1

Solve the following optimization problems:

  • Problem 1: min⁡xx4\min_x x^4
  • Problem 2: min⁡xx4+6x2+1\min_x x^4 + 6x^2 + 1
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