15 points) An island economy grows coconuts and provides medical ser- vices. For each coconut harvested, coconut farmers need to eat half a co- conut and receive 45 minutes of medical attention. For every four hours of medical service provided, doctors on the island need to eat a coconut and receive half an hour of medical attention. The island economy ultimately exports 100 coconuts, but imports 50 hours of medical services (by Zooming with doctors based in Canada). a) (6 points) Represent this economy as a system of equations. b) (5 points) How many coconuts total are grown on the island? How many hours of medical service are provided by doctors on the island? Justify your answer mathematically