(a) Consider the following information for a product X and a related product Y: Quantity of X traded Price of X Income of Consumers Price of Y 12.000 $1.00 $10.000 $1.00 16.000 $0.80 $9.000 $1.20 Classify X in terms of its price and income elasticities of demand and establish the relationship between product X and product Y. How does knowledge on the price elasticity of demand, the income elasticity of demand and the cross-price elasticity of demand helps a firm in making business decisions. Explain with suitable examples. (45 marks) (b) 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. (30 marks)