Standard trade model

Consider a country that can produce two goods: cars (qc) and bananas (qb). its PPF is "nice" (concave to the origin) and its identical agents have "nice" preferences.

assume the country is a "small" country trading freely at fixed world prices, importing bananas and exporting cars.

1. draw a plausible PPF, production and consumption points under free trade. Identify imports and exports in your graph. use horizontal axis for bananas

suppose a dictator takes power and bans all trade with the rest of the world .

1. what happens to the relative price of bananas in this country ?
2. show what happens to the production bundle ? the consumption bundle ? welfare