3 A Model of International Pop Stars (55 Points) Korea and the United States produce cars and entertainment. Labor, L, is required to produce both goods. Additionally, factories, F, are used to produce cars, while musicians, M, are used to produce entertainment. The production function for cars is r, = racial/3m?3 where YE is output of cars, PC is factories used, and LC is labor used. The production function for entertainment is r, : AeMgg/z where Y, is output of entertainment, Me is musicians used, and L8 is labor used