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Question: a monopoly faces the inverse demand function p 3005q and...

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A monopoly faces the inverse demand function P 300-5Q and has the total cost function C 50Q 3a) If the firm can engage in first degree (perfect) price discrimination, what are its profits and how much is consumer surplus? (hints: 1) find MC; and 2) draw D and MC) CS- 3b) What are profit and consumer surplus if the monopolist cannot price discriminate (it remains a monopolist, just a uniform, linear-pricing one)? (hint: first solve the standard monopoly problem to find PM and Q and add that to your diagram)
Still a monopoly facing the inverse demand function P- 300-5Q and the total cost function C- 50Q. 3c) If the monopolist engages in non-linear pricing with a two-part tariff, where each consumer has the demand curve given above, what access fee and per-unit price will it charge? What are profits (per consumer) and consumer surplus? (hint: think how to use your answer in 3a) Access fee- Per-unit price 3d) If you are the monopolist, which pricing strategy among those above do you choose? Why? 3e) If you are the consumer, which pricing strategy do you want the monopolist to choose? Why? 3f) If you are the governments antitrust authority with power to regulate the monopolist, which pricing strategy do you want the monopolist to choose? Why?
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