The traders' utilities are the following u¹(x_1, x₂) =x₁^2/3 x₂^1/3 and u²(x_1, x₂) =x₁^1/3 x₂^1/2. Their initial endowments are a¹= (10,10) and a²= (20,5) . Traders come to a market and exchange commodities to maximize their utilities. Compute the price vector in equilibrium. Compare the utilities before and after the exchange.