$1.$ Data Model Design:

$$ Design a MongoDB schema to store customer profiles, transactions, and products. Your schema should be efficient and support quick queries for analysis.

$$ Requirements:

$$ A$$Customer$$collection with information like$$customer$\_$id$,$name$,$email$,$phone$,$loyalty$\_$status, and$$created$\_$at$.$

$$ A$$Transaction$$collection to track each purchase. Each document should include fields like$$transaction$\_$id$,$customer$\_$id$,$products$($array of product items$),$total$\_$amount,$$date$,$ and$$store$\_$location.

$$ A$$Product$$collection that stores$$product$\_$id$,$name$,$category$,$price$,$ and$$brand$.$

$$ Design considerations for managing$$high cardinality fields$$like product categories and customer locations.