Three friends are choosing a restaurant for dinner. Here are their preferences: Azil Maya Erica First choice French French Mexican Second choice Mexican Mexican Italian Third choice Italian Italian Chinese Fourth choice Chinese Chinese French a) If the three friends use a Borda count to make their decision, where do they go to eat? You must show the number of points for each possible choice to justify your answer. b) On the way to their chosen restaurant, they see that the Italian and Chinese restaurants are closed, so they use a Borda count again to decide between the remaining two restaurants. Where do they decide to go now? Once again show the total points for each choice that is now available to explain your answer. c) How do your answers to Parts a) and b) relate to Arrow's impossibility theorem?