Suppose the market for coffee in China is characterized by demand Qa= 1000-10P. Individual coffee shops are identical with total costs T C = 5q²and marginal costs MC = 10q.< (a) What is the individual short-run supply curve equation for a coffee shop? Show your work. (4 marks) (b) Suppose the market for coffee is in a long-run equilibrium. What is the market price, firm output, number of firms, and market output? Show your work. (4 marks) (c) What is the market supply equation? Is supply elastic, inelastic, or unit-elastic? Use graphs to illustrate your answer (d) What is consumer surplus, producer surplus, and total surplus? Use graphs to illustrate Show your work. (4 marks)< (e) Suppose the government has introduced a tax on coffee of $5 per cup. Now what are the equilibrium prices (price paid by buyers and price kept by sellers), quantity, and deadweight loss? Show your work. (3 marks) (f) What effect will this policy have in the long-run? Explain. (3 marks)