Consider trade between two countries that have the following…

Consider trade between two countries that have the following unit labor requirements for the production of cheese and wine:         Home                                       Foreign         ac= 10                                       ac*= 6         aw= 1                                         aw*= 2         L = 200                                     L* = 120 a) Which country has an absolute advantage in cheese/wine and which country has a comparative advantage in cheese/wine? What are the relative prices of cheese at Home and in Foreign assuming they are in autarky (closed economies)? b)  If consumer preferences are given by U( xc , xf ) = xc2/3xf1/3 , find the equation for the relative demand curve. Use this to find the free trade price if both countries engage in free trade. Would both countries gain from trade?