Tom is a monopolist input supplier to Dic and Harry. Tom's marginal cost is 1. Dic and Harry are duopolists with production function q = x1/2 . No firm has fixed costs. The demand for the final product is given by Q = 100 – p. a) Assume Dic and Harry buy the input from Tom at price k. What are their cost functions? b) Find the Cournot equilibrium quantities. c) What price, k, should Tom set?

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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Tom is a monopolist input supplier to Dic and
Harry. Tom's marginal cost is 1. Dic and Harry are
duopolists with production function q = x1/2. No
firm has fixed costs. The demand for the final
product is given by Q = 100 – p.
a) Assume Dic and Harry buy the input from Tom
at price k. What are their cost functions?
b) Find the Cournot equilibrium quantities.
c) What price, k, should Tom set?
-
Transcribed Image Text:Tom is a monopolist input supplier to Dic and Harry. Tom's marginal cost is 1. Dic and Harry are duopolists with production function q = x1/2. No firm has fixed costs. The demand for the final product is given by Q = 100 – p. a) Assume Dic and Harry buy the input from Tom at price k. What are their cost functions? b) Find the Cournot equilibrium quantities. c) What price, k, should Tom set? -
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