e) Assume all people have the same preferences. Leth , Dsrepresent demand for goods F (food) and S (shoes), respectively. Assume people spend one-half their income on each good: D f: ( 1/ 2Pf); D3: ( I / 2P3) where I (personal income) is the wage rate, and P5 , Pf are the prices of the two goods. Total income (IUS for US and 1%.\" for India) is the wage rate times the number of workers (Hint: use total income to compute a country's total demand and start by assuming countries completely specialize. Is complete specialization by both countries an equilibrium? Explain your answer.). i Find the equilibrium world (relative) price of goods under free trade (i .e., set total world supply equal to total world demand and solve for price). ii Show how the real wage changes in each country due to free trade. Do both countries gain from free trade