Alice and Bob live in a two-person two-good exchange economy. Their utility functions are uA(xA1 , xA2) = xA1 + xA2 and uB(xB1 , xB2) = xB1(xB2)^2 . Their endowments are both (6, 6). (a) By the First Fundamental Theorem, the competitive allocation must be in the core. How would you check this directly