A monopolist has a cost function given by C(y)=y2 and faces a demand curve given by P(y) = 120-y. a) What is the profit maximising level of output and the price that the monopolist will charge? Show your calculations. b) If you impose a lump sum tax of £100 on this monopolist, what will be the impact on output? Explain your calculations and the intuition behind your result. c) If you wanted to choose a price ceiling for this monopolist so as to maximise consumer plus producer surplus, what price ceiling should you choose? How much output will the monopolist produce at this price ceiling? Explain your calculations.

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A: Q=421-2P2P=421-QP=421-Q2P=210.5-Q2Now,TR=P*QTR=(210.5-Q2)QTR=210.5Q-Q22Thus,MR=∂TR∂QMR=210.5-Q

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