Consider two (large) economies, HC and FC, trading a single good. By assumption, the HC is the exporting nation, while the FC imports. The following equations describe demand and supply conditions in each country. HC demand: HC supply: FC demand: FC supply: Q=2-1/3p Q=1/2P Q* = 6-1/2P* Q*=1/3P* 1. Derive the HC's export supply equation and FC's import demand equa- tion. 2. Determine the free trade price and the quantity exported/imported. 3. Calculate free trade welfare in both countries