a)The demand and supply functions of rice is given as P = 200 - 0.5Q and P = 100 + 0.5Q, respectively. Solve for the equilibrium price and quantity in the rice market. If the government implements a price floor of $180 per unit of rice, appraise the efficiency of the rice market by computing the consumer surplus, the producer surplus and the deadweight loss (if any) in the rice market. Support your answers with a suitable rice market diagram and comment on the winner and loser under this policy.

b) To discourage the consumption of a product, the government should impose a tax on the consumers instead of the producers. Do you agree? Explain with a suitable market diagram.