Problem
In an exchange economy there are two people (A and B), and two goods (x1 and x2). Their respective utility functions and endowments are: UA(x1A, x2A) = 3x1A + x2A, UB(x1B, x2B) = x1B + 3x2B, ?A= (3/2,3/2), ?B= (3/2,3/2). What are the minimum and maximum possible amounts of x1Ain the core?