Modern Principles: Microeconomics
Modern Principles: Microeconomics
3rd Edition
ISBN: 9781429278416
Author: Tyler Cowen, Alex Tabarrok
Publisher: Worth Publishers
bartleby

Concept explainers

Question
Book Icon
Chapter 12, Problem 1C

Subpart (a):

To determine

The elimination principle application.

Subpart (a):

Expert Solution
Check Mark

Explanation of Solution

The market equation with ‘n’ number of firm is given as follows:

QS=0.5n+0.1nP (1)

Substitute the respective values in equation (1) to calculate the market supply with 24 firms.

QS=0.5n+0.1nP=0.5(24)+0.1(24)P=12+2.4P

The market supply equation with 24 firm is QS=12+2.4P.

The equilibrium price can be calculated as follows:

Demand=Supply1002P=12+2.4P2.4P+2P=100124.4P=88P=884.4=20

The equilibrium price is $20.

Substitute the equilibrium price in the demand equation to calculate the equilibrium quantity.

QD=1002P=1002(20)=10040=60

The equilibrium quantity is 60 units.

 Individual firm output can be calculated as follows:

OutputIndividyual firm=Market outputNumber of firm=6024=2.5

Each individual firm produces 2.5 units of output.

Individual firm profit can be calculated as follows:

Profit=(Price((5×OutputIndividual firm)5+24.2OutputIndividual firm)×OutputIndividual firm)=(20((5×2.5)5+24.22.5))×2.5=(20(12.55+9.68))×2.5=(2017.18)×2.5=7.05

Individual firm’s profit is $7.05. Since there is a positive profit, there will be a new entry in to the industry.

Economics Concept Introduction

Concept Introduction:

Elimination principle: According to the elimination principle above, normal profit are eliminated by a new entry and below normal profit are eliminated by an exit.

Subpart (b):

To determine

The elimination principle application.

Subpart (b):

Expert Solution
Check Mark

Explanation of Solution

Substitute the respective values in equation (1) to calculate the market supply with 35 firms.

QS=0.5n+0.1nP=0.5(35)+0.1(35)P=17.5+3.5P

The market supply equation with 24 firm is QS=17.5+3.5P.

The equilibrium price can be calculated as follows:

Demand=Supply1002P=17.5+3.5P3.5P+2P=10017.55.5P=88P=82.55.5=15

The equilibrium price is $15.

Substitute the equilibrium price in the demand equation to calculate the equilibrium quantity.

QD=1002P=1002(15)=10030=70

The equilibrium quantity is 70 units.

 Individual firm output can be calculated as follows:

OutputIndividyual firm=Market outputNumber of firm=7035=2

Each individual firm produces 2 units of output.

Individual firm profit can be calculated as follows:

Profit=(Price((5×OutputIndividual firm)5+24.2OutputIndividual firm)×OutputIndividual firm)=(15((5×2)5+24.22))×2=(15(105+12.1))×2=(1517.1)×2=4.2

Individual firm’s profit is -$4.2. Since there is a negative profit, there will be a few exits entry in to the industry.

Economics Concept Introduction

Concept Introduction:

Elimination principle: According to the elimination principle above, normal profit are eliminated by a new entry and below normal profit are eliminated by an exit.

Subpart (c):

To determine

The elimination principle application.

Subpart (c):

Expert Solution
Check Mark

Explanation of Solution

Rearrange the individual equation qS=0.5+0.1P in terms of Price. This can be done as follows:

qS=0.5+0.1P0.1P=0.5+qSP=0.50.1+10.1qS=5+10qS

Individual supply equation is P=5+10qS.

The quantity can be calculated by equating price equation with average cost equation. This is done as follows:

Individual supplyInterms of price=Average cost5+10qS=5qS5+24.2qS10qS5qS=5+5+24.2qS5qS=24.2qS(5qS)qS=24.2qS2=24.25qS=4.84=2.2

Individual firm output is 2.2 units.

The equilibrium price can be calculated by substituting the equilibrium quantity in to the individual supply equation.

P=5+10qS=5+10(2.2)=17

The equilibrium price is $17.

The equilibrium market quantity (Output) can be calculated by substituting the equilibrium price in to the demand equation.

QD=1002P=1002(17)=10034=66

The market equilibrium quantity is 66 units.

The number of firms in the industry (Optimum number) can be calculated as follows:

Number of firm=Market quantityIndividual firms output=662.2=30

The number of firms in the industry (Optimum number) is 30. Since the number of firms in the industry is less than the 35 and greater than the 24, it is possible to get normal profit by the 30 firms.

Economics Concept Introduction

Concept Introduction:

Elimination principle: According to the elimination principle above, normal profit are eliminated by a new entry and below normal profit are eliminated by an exit.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Identify the two curves shown on the graph, and explain their upward and downward slopes.     Why does curve Aintersect the horizontal axis?     What is the significance of quantity d?   What does erepresent?   How would the optimal quantity of information change if the marginal benefit of information increased—that is, if the marginal benefit curve shifted upward?
6. Rent seeking The following graph shows the demand, marginal revenue, and marginal cost curves for a single-price monopolist that produces a drug that helps relieve arthritis pain. Place the grey point (star symbol) in the appropriate location on the graph to indicate the monopoly outcome such that the dashed lines reveal the profit-maximizing price and quantity of a single-price monopolist. Then, use the green rectangle (triangle symbols) to show the profits earned by the monopolist. 18 200 20 16 16 14 PRICE (Dollars per dose) 12 10 10 8 4 2 MC = ATC MR Demand 0 0 5 10 15 20 25 30 35 40 45 50 QUANTITY (Millions of doses per year) Monopoly Outcome Monopoly Profits Suppose that should the patent on this particular drug expire, the market would become perfectly competitive, with new firms immediately entering the market with essentially identical products. Further suppose that in this case the original firm will hire lobbyists and make donations to several key politicians to extend its…
Consider a call option on a stock that does not pay dividends. The stock price is $100 per share, and the risk-free interest rate is 10%. The call strike is $100 (at the money). The stock moves randomly with u=2 and d=0.5. 1. Write the system of equations to replicate the option using A shares and B bonds. 2. Solve the system of equations and determine the number of shares and the number of bonds needed to replicate the option. Show your answer with 4 decimal places (x.xxxx); do not round intermediate calculations. This is easy to do in Excel. A = B = 3. Use A shares and B bonds from the prior question to calculate the premium on the option. Again, do not round intermediate calculations and show your answer with 4 decimal places. Call premium =
Knowledge Booster
Background pattern image
Economics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:9780190931919
Author:NEWNAN
Publisher:Oxford University Press
Text book image
Principles of Economics (12th Edition)
Economics
ISBN:9780134078779
Author:Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:PEARSON
Text book image
Engineering Economy (17th Edition)
Economics
ISBN:9780134870069
Author:William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:PEARSON
Text book image
Principles of Economics (MindTap Course List)
Economics
ISBN:9781305585126
Author:N. Gregory Mankiw
Publisher:Cengage Learning
Text book image
Managerial Economics: A Problem Solving Approach
Economics
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Cengage Learning
Text book image
Managerial Economics & Business Strategy (Mcgraw-...
Economics
ISBN:9781259290619
Author:Michael Baye, Jeff Prince
Publisher:McGraw-Hill Education