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Understand how to solve constrained optimization problems through practical Python exercises. Learn to reduce variables using constraints, apply penalty methods for invalid solutions, and handle task assignment problems effectively. This lesson helps you gain hands-on experience with techniques to simplify and solve constrained problems efficiently.

Here, we’ll review the solutions to the exercise problems of constrained optimization.

Exercise 1: A simple contained problem

The first problem was:

minx,yx3ys.t.:3xy=1x3>1\min_{x, y} x^3 - y \\ s.t.: 3x - y = 1 \\ x^3 > -1 ...