Develop a simple product inventory system where each product is represented as an object with properties like name, price, quantity, etc. Implement functionality to add and remove products.

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Dara is demonstrating exceptional proficiency in her coding classes constantly delivering precise assignments. She is demonstrating proficiency in constructing JavaScript objects and distinguishing between name and value characteristics. In addition, she has successfully used dot and bracket notation to access objects. Currently, she has learned to control object properties, adding and deleting them as needed.