The supply for the water in the summer months in Perth is P=2+Q and the demand for water isP=8 -Q, wherePis the price in dollars and Q is quantity demanded and supplied.

a)Find the equilibrium price and quantity.(3 marks)

b)Calculate the weekly producer surplus, consumer surplus and economic surplus generated at the market equilibrium.(4 marks)

c)Suppose a tax of $2 per-unit to be collected from sellers is imposed in the market. Calculate the loss in economic surplus experienced by buyers and sellers as a result of the tax.(6 marks)

d)How much government revenue will this tax generate each week? (2 marks)