Question $1)$ Use a function such as factoextra::fviz$\_$nbclust with silhouette method to identify the optimum number of clusters of customers that can be identified in your data if you wanted to use Hierarchical Clustering?

Question $2)$ Use a function such as stats::hclust to build your hierarchical cluster model and use factoextra::fviz$\_$cluster to visualize the optimum number of clusters you identified above.

Question $3)$ Use a function such asfactoextra::fviz$\_$nbclust with silhouette method to identify the optimum number of clusters of customers that can be identified in your data if you wanted to use K$-$Means Clustering?

Question $4)$ Use a function such as stats::Kmeans to build your Kmeans cluster model and use factoextra::fviz$\_$cluster to visualize the optimum number of clusters you identified above.

Question $5)$ Compare and contrast the visualizations of the clusters detected by two Machine Learning models. Which one has done a better job in clustering?