The market for rice in a country has the following demand and supply functions:Demand function: P = 6 - 0.5Q_DSupply function: P = 2 + 0.5Q_SWhere Q_D is the quantity demanded, Q_S is the quantity supplied and P is the unit price of rice.(a) Determine the equilibrium price, quantity, consumer surplus and producer surplus in the rice market. Illustrate your answers with a suitable rice market diagram. (b) To help the rice farmers, the government has decided to impose a price floor on rice at $5.50 per unit. At this price, calculate the consumer surplus, the producer surplus and the deadweight loss in the rice market. Are the farmers better off under this policy? Explain