Here is my questions

10. Let P = 100 - 2Q and C(Q) = 40 + Q2 a. Under perfect competition calculate + i. Equilibrium P, Q+ ii. Consumer surplus, Producer surplus and Total Social Welfare + b. Suppose now you have a monopolist. Calculate + i . Equilibrium P, Q+ ii. Consumer surplus, Producer surplus and Total Social Welfare + c. Compare the competitive and monopolist outcomes.1 6. P = QE is known as the constant elasticity demand curve. Confirm that the price elasticity of demand is constant (using calculus). a ..I 7. If the government sets a specic tax and an ad valorem tax so that they raise the same revenue, why does the ad valorem tax reduce output less than the specic tax in a monopoly market? Answer in words. .J 8. Let C(q) = 20 + 4Q + 2q2 and demand P(Q) = 212 6Q .J a. Derive the standard monopoly solution .J b. Derive monopoly profits as a function of the two kinds of taxes: solve for q as a function of the unit tax 1: and ad valorem tax a. Let 1'.' = 6.05 and let a: = 0.1. Both taxes generate Q : 12.6 and a resulting consumer price ofp : 136.4. Calculate .J 1. ii. iii. iv. v. vi. .J Deadweight loss .J Consumer surplus a Producer surplus under the unit tax T .J Tax revenues under the unit tax I 0 Producer surplus under the ad valorem tax a and compare to under I a Tax revenues under the ad valorem tax 0: and compare to under 1' v 9. Consider a monopoly with the following cost curve: C(q) = 60 + 10q and the following demand 2 function: P0?) = 45 (2?. What is the prot-maximizing solution for the monopoly? How large are its prots? a