14. The U.S. demand for soy beans has been estimated as: P = 100 - 2Q where P is price ($/ton) and Q is sales (tons per month). The U.S. domestic supply is expressed as: P = 5+Q A typical firm in this market has a total cost function given as: C = 100 - 20q + 2q2 Suppose the world price is $10 and U.S. has a free trade with the rest of the world. 14.1 (6pt) Please calculate the equilibrium output for a typical firm and the profit (or loss) earned by the typical firm under the free trade scenario. 14.2 (6pt) Assuming the government imposes a import tariff of $10 per ton of soy beans, what is the deadweight loss compared to free-trade scenario