Help please with number 3 a-e

3. Consider a competitive market where demand and supply are given by PD = 500 - 2qPs = 3q (a) Sketch this market and find the competitive outcome. 5 points. (b) Indicate graphically and calculate producer and consumer sur- plus. 5 points. Suppose the production of this good does external harm to some- one according the following external damage function: ED(q) = 50q2 (c) Sketch the true social marginal cost and benefit and find the ef- ficient level of output. 10 points (d) How much deadweight loss does the market outcome general? 5 points (e) What coasian payments to those harmed could achieve the effi- cient outcome? 5 points