) I Study A Study B ) Study C Study D | City of interest | Shadow Price 100 400 500 3000 - % of farming land (\"farm\") 5% 80% 30% 70% 50% Proximity to closest city (\"prom\") 200km 100k1n 150km 50km 150km Population of closest city (\"pop\") 50k 10k 800k 300k 700k (a) (10 pts) If your team decides to use only one of those studies' shadow price, which one would you choose? Why? (b) (10 pts) Imagine that your team decide to weight every study the same way ('13 each), what shadow price would you use? ((3) (5 pts) What's the mean and standard deviation for \"farm, prom and pop\" (using all ve cities, four from the studies and the city of interest)? For the following part, dene the distance between the city in Study X and your city of interest as: 2 2 2 d : (farmm farminterest) + (Prawn: Wominterest) + (Papa: Papinterest) at farm prom pop where g indicates the mean value of y. (d) (10 pts) Calculate the distance for each of the \"Study X\" cities and the city of inter- est. Now, imagine that your team decide to weight every study based on the inverse of it's distance with the city of interest (i.e. as a proportion of the sum of all the inverse of distance), what shadow price would you use? (e) (5 pts) Given your answer on (d), do you believe such methodology applies too much importance to any of the three metrics (\"farm, prom or pop\") over the others? Why