Type only the answers to each subquestion below. There is a monopoly on product X in Vietnam. The demand function is described by=408p=40q8, while themarginal cost function is defined by=4mc=q4

a. Autarky.Determine the autarky equilibrium: price and quantity produced.

Price: ? and Quantity:?

b. Trade.Vietnam is a small country, and the world market price is 8. Determine the quantities and price of equilibrium. Find quantities consumed at home and traded in the international markets.

Price: ? , Quantity produced locally:?Quantity imported:?, Quantity consumed:?

c.Tariffs.What happens if the monopoly can persuade the government to impose a tariff of $10 per unit imported. Determine the quantities produced and consumed at home along with the level of imports or exports.

Price: ? , Quantity produced locally:?Quantity imported:?, Quantity consumed:?

d.Quota.Suppose that the Member of Congress representing the firm's district manages to replace the tariff with a quota yielding the same level of imports. Determine the equilibrium quantities (home consumption, exports/imports). Would the firm prefer the tariff or the quota?

Price: ? , Quantity produced locally:?Quantity imported:?, Quantity