The supply and demand functions of a good are given by

= 32 + ²

and

= 140 (²)/3

where , , and are the price and quantity supplied and demanded,

respectively.

a) Calculate the producer's surplus and consumer's surplus at the equilibrium

point.

b) Explain the effect, if any, on producer's surplus if the government imposes

a fixed tax on this good (note: no calculation expected).