A monopolist facing a demand p=1000 - 10Q has costs TC(Q) = 5Q^2 + 100Q. (a) What is the monopolist’s profit maximizing quantity and price? What is the induced DWL? (b) Suppose, on top of the costs above, the firm now also pays; (i) A flat fee of 1000 dollars, (ii) half of the profits, (iii) 150 dollars per unit sold, (iv) half of the revenue.

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter9: Monopoly
Section: Chapter Questions
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A monopolist facing a demand p=1000 - 10Q has costs TC(Q) = 5Q^2 + 100Q.

(a) What is the monopolist’s profit maximizing quantity and price? What is the induced DWL?

(b) Suppose, on top of the costs above, the firm now also pays; (i) A flat fee of 1000 dollars, (ii) half of the profits, (iii) 150 dollars per unit sold, (iv) half of the revenue.

Separately for each of these 4 cases, calculate the profit maximizing price and quantity for the monopolist with these new augmented costs. Does any of these scenarios alter the DWL associated with the monopoly, compared to (a)? (c) Forget about (a) and (b), and consider a monopoly in general. Show on a single graph with general costs (ATC and MC graphs) and a general demand, what quantity monopoly should produce in order to maximize ; (i) Total Revenue, or (ii) the number of units sold, under the condition that the firm does not make losses

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