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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.
The demand curve for the product of a monopolist is a straight line such that quantity just falls to zero at a price of Rs 20 per unit and that the maximum quantity (at zero price)
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when firm can achieve optimization
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