You own a road resurfacing business called Rockit Asphalting services located in Kingston. You are the only reservicing business in Southern Tasmania.  Therefore, you have a local monopoly.   Your experience running the company for many years has taught you that market demand for your service can be described by the demand function:    p = 20 − q.   The cost function is c = q2.  Therefore, marginal cost equals 2q.   Quantity refers to square metre of road resurfacing.   Note the Q denotes aggregate market demand and q denotes your production.  Of course, if you are the only supplier than q = Q.    Compute profit maximising price and output. Compute profits. The monopoly profit that you have been earning has attracted attention from another firm that will set up operations in Southern Tasmania and compete for market share. You are concerned with losing market share and profit.  So, you offer the potential entrant the following deal.  Both firms agree to maximise industry profits (joint profits).   The potential entrant wants to know: C How much each firm will produce?  What will be the market price?  How much profit will each firm earn?  What will be industry profits?

Microeconomics A Contemporary Intro
10th Edition
ISBN:9781285635101
Author:MCEACHERN
Publisher:MCEACHERN
Chapter9: Monopoly
Section: Chapter Questions
Problem 1QFR
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 You own a road resurfacing business called Rockit Asphalting services located in Kingston. You are the only reservicing business in Southern Tasmania.  Therefore, you have a local monopoly.   Your experience running the company for many years has taught you that market demand for your service can be described by the demand function: 

 

p = 20 − q.

 

The cost function is c = q2.  Therefore, marginal cost equals 2q.   Quantity refers to square metre of road resurfacing.   Note the Q denotes aggregate market demand and q denotes your production.  Of course, if you are the only supplier than q = Q. 

 

  1. Compute profit maximising price and output. Compute profits.
  2. The monopoly profit that you have been earning has attracted attention from another firm that will set up operations in Southern Tasmania and compete for market share. You are concerned with losing market share and profit.  So, you offer the potential entrant the following deal.  Both firms agree to maximise industry profits (joint profits).   The potential entrant wants to know: C
    1. How much each firm will produce? 
    2. What will be the market price? 
    3. How much profit will each firm earn?  What will be industry profits? 
    4. When you make the offer detailed in part b), the potential entrant observes that aggregate industry profits are different than when the market was supplied only by your firm. Explain the potential entrant why aggregate profits are not the same.
    5. The deal you offer the potential entrant is of course a collusive agreement. Are you confident that the potential entrant will stick to the agreement once it enters the market?  Support your conclusions.  
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