An upstream monopoly sells the good x to a downstream monopoly. The downstream monopoly uses this good as an input to produce its output y. The production function of the downstream monopoly is y = x. The downstream monopoly sells its output to final consumers whose aggregate demand curve is y = 12 − p. The upstream monopoly's cost function is c (x)=2x. 1. Find the quantity x the upstream monopoly sells to the downstream monopoly and the quantity y the downstream monopoly sells to the 1 final consumer. Find also the price k the upstream monopoly charges the downstream monopoly and the price p the downstream monopoly charges the final consumers. Compute the profits of each monopoly.

An upstream monopoly sells the good x to a downstream monopoly. The downstream monopoly uses this good as an input to produce its output y. The production function of the downstream monopoly is y = x. The downstream monopoly sells its output to final consumers whose aggregate demand curve is y = 12 − p. The upstream monopoly's cost function is c (x)=2x. 1. Find the quantity x the upstream monopoly sells to the downstream monopoly and the quantity y the downstream monopoly sells to the 1 final consumer. Find also the price k the upstream monopoly charges the downstream monopoly and the price p the downstream monopoly charges the final consumers. Compute the profits of each monopoly.

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter9: Market Structure And Long-run Equilibrium

Section: Chapter Questions

Problem 4MC

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