Hi, thank you for your answer. That's so helpful. I am confused if the utility function is Cobb-douglas function, I think I need to calculate alpha and beta first, but I am confused how to calculate it. Cheers

\f\fConsider an exchange economy with 2 consumers whose preferences and endowments are represented by: . u (x1, X2) = [(x1)P+ (x2)P]1/P and el = (8 + a, 11 + b) . u2 (1, 2) = [(21)P+ (2)P]1/P and e2 = (10 - a, 4 - b) where a E [-8, 10] and b E [-11, 4). Consider the allocation x given by a = (12, 10), 2 = (6, 5) (a) Assume p = 1/3. Find the demand function /correspondence of consumer 1 as a function of a and b