Suppose the domestic demand and supply for shoes in a small open economy are given by:

P=800-2Q (demand)

P=200+Q (supply)

where P represents the domestic price and Q denaotes the quanitity.

a.What are the autarky price of shoes and the autarky quantity produced?

Hint: domestic demand = domestic supply (without trade)

b.What are the level of domestic production, consumption, and total imports if the world price is $300.

c.How do your answers in part (b) change if the country were to impose a tariff of $3?