HydroGreen applies different pricing for its fuel to regions around the UK. To do this, Hydro- Green wants to use location data that they have from their top 14 clients (fuel stations) to implement a k-median clustering, where the target is to have the same hydrogen price in each cluster. Assume that the distance between two fuel stations is given by the distance. (i) Can you advise HydroGreen for an optimal clustering using three regional centres? (ii) HydroGreen can use up to five different hydrogen prices around the UK (one price for each region). What would you recommend if their goal is to minimise the dissimilarity for each region?