1. (Analytical Exercise) Suppoee that the United States and Canada produce clothing {C} and food {F}. The U.S. has an endowment of 2m man-hours, each of which can produce either 2 unite of clothing or 2 units of food. Canada has an endowment of 30!] mau-houref each of which can produce either 1 unit of clothing or 2 unite of food. Let 13pr denote the relative price of clothing. In the following. we will derive the autarky equilibrium of each economy. i. For each countryf use the production possibility [routiers above to derive the quan- tity of production of each good. ii. Put 13pr on the y-axis and @52pr on the m-aris of a graph, and draw the relative supply curves in each economy under autarky. Use a dierent graph for each economy. iii. In each economy, the relative demand is: 1 DC!\" = (Po-fps} Solve the equilibrium relative prices and relative quantities in each economy. iv. Do these curves depend on the economies endowments in terms of number of man-hours