Challenge: Non-Convex Optimization

Evaluate yourself on the concepts learned in this chapter via a coding exercise.

Problem statement

Consider a scenario where a company wants to optimize the production of a certain product. The cost of production could depend on multiple factors, such as the amount of raw materials used (x0x_0) and the time spent on production (x1x_1).

Mathematical formulation

The company’s goal is to minimize the cost while maintaining the quality of the product. Depending on several other factors, the company hypothesizes a general cost objective as follows:

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