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Consider an industry with a sole producer, a monopolist. The latter faces cost function C(Q)= Q/2 and aggregate (inverse) demand P(Q)=1 - Q (zero for Q> 1). Illustrate all your answers in a drawing
(a) What are the equilibrium quantity QM, price PM, pro?ts ΠM, consumer surplus CSM and total welfare WM for the case of non-discriminatory (uniform) pricing.
(b) Explain why for effciency, i. e. maximal total welfare, it must be the case that price equals marginal cost. Using this, compute the effcient quantity Q*.
(c) Finally, quantify the social cost arising from the monopoly by calculating the associated deadweight loss, telling you by how much the monopoly industry falls short of effciency.
Interaction of supply and demand, equilibrium price and quantity In perfectly competitive markets the market price is determined by the interaction of the forces of demand and
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