Fill-up the following table relating to monopoly operations and regulations given the following total cost and inverse demand functions:     No Regulation MC-Pricing (MC = P*) w/ Lump Sum Tax (T = 75) w/ Specific Tax (t = 10) Profit Equation         Q*         P*         TR at Q*         TC at Q*         Profit at Q*         Tax Revenue         Consumer Surplus         Producer Surplus         Deadweight Loss           2.) Choose one type of regulation you analyzed in number 1 and graphically illustrate the results.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question

Hello my dear tutor! 

 

I just want to ask for help whether the answers in the given pictures are correct. If it's not, please help me recheck and resolve it. Please refer to the given pictures below for the answers.

 

After verifying the given answers shown in the subsequent picture. PLEASE TALLY AND FILL UP AND PROVIDE THE NECESSARY INFORMATION FROM THE TABLE BELOW. Answer also number 2.

 

NOTE: Type only your answers. Please do not handwritten your answers.

 

1.) Fill-up the following table relating to monopoly operations and regulations given the following total cost and inverse demand functions:

 

 

No Regulation

MC-Pricing

(MC = P*)

w/ Lump Sum

Tax (T = 75)

w/ Specific Tax

(t = 10)

Profit Equation

 

 

 

 

Q*

 

 

 

 

P*

 

 

 

 

TR at Q*

 

 

 

 

TC at Q*

 

 

 

 

Profit at Q*

 

 

 

 

Tax Revenue

 

 

 

 

Consumer Surplus

 

 

 

 

Producer Surplus

 

 

 

 

Deadweight Loss

 

 

 

 

 

2.) Choose one type of regulation you analyzed in number 1 and graphically illustrate the results.

 

NOTE: Type only your answers. Please do not handwritten your answers.

Lumpsum tax (T = 75)
TC =
Q² + 100 + 75
TC = Q² + 175
Profit maximisation : MC = MR
= MR
= 120
MC
2Q
20
|
*
= 30
Р*
= 120 – Q *
P *
= 120
30 = 90
Total Revenue = P* Q *
= 90x30 = 2700
Total Cost =
(30)² + 100
= 900 + 100 =
1000
Profit
= TR – TC
2700 – 1000
1700
Tax Revenue = 75
Consumer Surplus
(Demand curve ' s Y intercept – Price) x Quantity
CS
(120 - 90) (30)
450
} (60) (30)
} (90 – 60) (40 – 30)
Producer Surplus = 90x30
= 1800
-
DWL =
= 150
-
Specific Tax (t=10)
Q² + 10Q + 100
2Q + 10
ТС %3
MC
MR = 120
МС 3D MR
2Q + 10 = 120
20
*
= 27.5
P *
= 120
27. 5 = 92. 5
TR = 92.5x27. 5 = 2543. 75
TC = 27.5² + 10(27. 5) + 100 = 1131. 25
Profit
= 2543. 75
1131. 25 = 1412. 5
Tax Revenue =
100
= 10x27. 5
= 275
(120 – 92. 5) (27.5) = 378. 125
(92. 5 – 65) (27.5) + (65 – 10) (27. 5) = 1512. 5
} (92. 5 – 55) (40)
CS =
PS =
-
DWL =
= 750
Transcribed Image Text:Lumpsum tax (T = 75) TC = Q² + 100 + 75 TC = Q² + 175 Profit maximisation : MC = MR = MR = 120 MC 2Q 20 | * = 30 Р* = 120 – Q * P * = 120 30 = 90 Total Revenue = P* Q * = 90x30 = 2700 Total Cost = (30)² + 100 = 900 + 100 = 1000 Profit = TR – TC 2700 – 1000 1700 Tax Revenue = 75 Consumer Surplus (Demand curve ' s Y intercept – Price) x Quantity CS (120 - 90) (30) 450 } (60) (30) } (90 – 60) (40 – 30) Producer Surplus = 90x30 = 1800 - DWL = = 150 - Specific Tax (t=10) Q² + 10Q + 100 2Q + 10 ТС %3 MC MR = 120 МС 3D MR 2Q + 10 = 120 20 * = 27.5 P * = 120 27. 5 = 92. 5 TR = 92.5x27. 5 = 2543. 75 TC = 27.5² + 10(27. 5) + 100 = 1131. 25 Profit = 2543. 75 1131. 25 = 1412. 5 Tax Revenue = 100 = 10x27. 5 = 275 (120 – 92. 5) (27.5) = 378. 125 (92. 5 – 65) (27.5) + (65 – 10) (27. 5) = 1512. 5 } (92. 5 – 55) (40) CS = PS = - DWL = = 750
Step 1
Given that:
TC =
Q² + 100
P
= 120
No Regulation
Monopolist maximises profit where MC = MR
ƏTC
MC =
õe
ƏTR
a(120Q – Q²)
MR =
= 120 – 2Q
õe
МС — MR
= 120 – 2Q
*
= 30
P *
= 120 – Q *
= 120
Total Revenue = P* Q *
P *
30 = 90
= 90x30 = 2700
Total Cost =
(30)2 + 100 = 900 + 100 = 1000
Profit
3 TR — TС
= 2700 – 1000
= 1700
Таx Revenuе — 0
Consumer Surplus
(Demand curve ' s Y intercept –
Price) x Quantity
CS =
(120 - 90) (30)
= 450
{ (60) (30)
| (90 – 60)(40 – 30)
Producer Surplus
= 90x30
1800
DWL =
= 150
MC = P*
МС 3D Р
120 – Q
3Q =
120
*
= 40
P *
= 120
40 = 80
|
TR = 80x40 = 3200
TC
402 + 100 :
= 1700
Profit
= 3200 – 1700
= 1500
Тах Revenuие —D 0
}(120 – 80) (40)
(80)(40) = 1600
CS =
= 800
PS =
DWL
= 0
Transcribed Image Text:Step 1 Given that: TC = Q² + 100 P = 120 No Regulation Monopolist maximises profit where MC = MR ƏTC MC = õe ƏTR a(120Q – Q²) MR = = 120 – 2Q õe МС — MR = 120 – 2Q * = 30 P * = 120 – Q * = 120 Total Revenue = P* Q * P * 30 = 90 = 90x30 = 2700 Total Cost = (30)2 + 100 = 900 + 100 = 1000 Profit 3 TR — TС = 2700 – 1000 = 1700 Таx Revenuе — 0 Consumer Surplus (Demand curve ' s Y intercept – Price) x Quantity CS = (120 - 90) (30) = 450 { (60) (30) | (90 – 60)(40 – 30) Producer Surplus = 90x30 1800 DWL = = 150 MC = P* МС 3D Р 120 – Q 3Q = 120 * = 40 P * = 120 40 = 80 | TR = 80x40 = 3200 TC 402 + 100 : = 1700 Profit = 3200 – 1700 = 1500 Тах Revenuие —D 0 }(120 – 80) (40) (80)(40) = 1600 CS = = 800 PS = DWL = 0
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Federal Tax
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
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education