Consider the following problem: Demand: q = 100-p Retailer: marginal cost of selling r = 10 per unit Manufacturer: marginal cost of producing = 40 per unit Neither firm faces any competitor Suppose now that the retailer and the manufacturer are separate firms. Write down the profit function of the manufacturer if it sells to the retailer at w. You solved for the quantity the manufacturer will sell a minute ago, so you can use that in the profit function, and then you will have a profit function for the manufacturer that does not have p, but only has w in it. Solve for the optimal w for the manufacturer to charge and calculate the quantity sold under that w.

Consider the following problem: Demand: q = 100-p Retailer: marginal cost of selling r = 10 per unit Manufacturer: marginal cost of producing = 40 per unit Neither firm faces any competitor Suppose now that the retailer and the manufacturer are separate firms. Write down the profit function of the manufacturer if it sells to the retailer at w. You solved for the quantity the manufacturer will sell a minute ago, so you can use that in the profit function, and then you will have a profit function for the manufacturer that does not have p, but only has w in it. Solve for the optimal w for the manufacturer to charge and calculate the quantity sold under that w.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter16: Government Regulation

Section: Chapter Questions

Problem 10E

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