Consumers in the two countries have identical and homogeneous preferences, which are given by: U(X,Y)= XY¹-8 с C = where the subscript c denotes consumption of goods. Assume d represent the share of good X in total expenditure in each country. 0.5, and it 1. The total income of the consumer in country j is w;I +r,K³. Write down the consumer's budget constraint 2. Derive the FOC for optimal choice consumption by maximizing the utility subject to the budget constraint in (1c) (Hint: set up Lagrangian optimization problem)
