microeconomics

1. Suppose in the domestic market, the demand and supply functions of some good are as follows : QD=300P;QS=2P (1) Calculate the equilibrium price and equilibrium quantity, and draw it on a graph. (10 points) (2) If the government sets $110 as the price ceiling, how much is the consumer surplus, producer surplus, and the total surplus? (10 points) (3) Suppose there is no price control. The current world price of the good is $80 per unit. If the domestic government allows international trade, will this country be an importing or exporting country? If the government imposes a tariff of $10 per unit, compared with the situation without tariff, how much is the dead weight loss? And draw it on a graph. (10 points) 2. Suppose the total cost function of a typical firm in a perfectly competitive market is given as follows: TC=Q315Q2+5Q+55 Please write down the functions of the firm's total variable cost, total fixed cost, average total cost, average variable cost, and average fixed cost respectively. ( 25 points, 5 points each)