ECON 4333-001 (online) Spring 2020 Homework Assignment #2-Revised     MR This question is based on the figure above, which describes cost and demand conditions in the widget industry. Assume that costs functions to not vary according to market structure (competition vs. monopoly, for example). Complete the following table. All variables should be expressed in dollars. (Hint: use the Cowling and Mueller method for measuring consumer surplus and deadweight)   Market Structure   Price   Quantity Economic Profit Consumer Surplus Dead Weight Loss Competition  500  400       Monopoly             The following table illustrates the distribution of retail grocery sales in the Asheville, NC market:                                                                                                               Market                                                                           Retailer                Share (%)  Kroger 35 26 Wal-Mart Food Lion 12 Piggly Wiggly 8 IGA 7 The rest 4 each   Compute the four-firm concentration ratio (CR4). Compute the eight-firm concentration ratio (CR8). Compute the Herfindahl (H) index.                                                                                                                                                2   Two firms, A and B, have complete control of the supply of mineral water and both have zero costs. Their best reply functions (BRP) are given by:   qA = 10 - .5qB    qB = 10 - .5qA   Find the Cournot solution for the market price and output of mineral water and illustrate with a simple graph. The (inverse) demand function facing a mineral water monopolist is given by:   P = 200 – 10Q   The marginal revenue (MR) function is, therefore, given by:   MR = 200 – 20Q   Assuming again that marginal and total costs are zero, demonstrate that firms A and B have an incentive to cooperate and maximize joint profits. That is, compare profits earned in Cournot equilibrium to a situation of joint monopoly.

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
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Chapter1: Making Economics Decisions
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ECON 4333-001 (online)

Spring 2020

Homework Assignment #2-Revised

 

 

MR

  1. This question is based on the figure above, which describes cost and demand conditions in the widget industry. Assume that costs functions to not vary according to market structure (competition vs. monopoly, for example). Complete the following table. All variables should be expressed in dollars. (Hint: use the Cowling and Mueller method for measuring consumer surplus and deadweight)

 

Market Structure

 

Price

 

Quantity

Economic

Profit

Consumer Surplus

Dead Weight Loss

Competition

 500

 400

 

 

 

Monopoly

 

 

 

 

 

 

  1. The following table illustrates the distribution of retail grocery sales in the Asheville, NC market:

 

                                                                                                            Market 

                                                                         Retailer                Share (%)

 Kroger

35

26

Wal-Mart

Food Lion

12

Piggly Wiggly

8

IGA

7

The rest

4 each

 

  1. Compute the four-firm concentration ratio (CR4).
  2. Compute the eight-firm concentration ratio (CR8).
  3. Compute the Herfindahl (H) index.

                                                                                                                                               2

 

  1. Two firms, A and B, have complete control of the supply of mineral water and both have zero costs. Their best reply functions (BRP) are given by:

 

qA = 10 - .5qB   

qB = 10 - .5qA

 

  1. Find the Cournot solution for the market price and output of mineral water and illustrate with a simple graph.
  2. The (inverse) demand function facing a mineral water monopolist is given by:

 

P = 200 – 10Q

 

The marginal revenue (MR) function is, therefore, given by:

 

MR = 200 – 20Q

 

Assuming again that marginal and total costs are zero, demonstrate that firms A and B have an incentive to cooperate and maximize joint profits. That is, compare profits earned in Cournot equilibrium to a situation of joint monopoly. 

 

 

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