Q$\mathrm{.}1$ Which activation function can be used in the output layers of two different Artificial Neural Networks designed for the following two use cases? Explain how the corresponding activation functions work and why they are suitable for their respective use cases. $(8$ Marks$)$

$1.$ A food delivery platform wants to predict customer preferences for various cuisines based on their ordering history and preferences. The goal is to classify the preferred cuisines into mutually exclusive categories such as "Italian," "Chinese," and "Mexican," based on the ordering patterns of the customers.

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$2.$ An e$-$commerce platform wants to recommend products to users based on their browsing history and purchase behavior. The goal is to categorize each product into multiple non$-$exclusive categories such as "Electronics," "Clothing," "Books," "Home Decor," and "Sports Equipment," to enhance personalized recommendations and user engagement.