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.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.10P: Wonopoly and natural resource prices Suppose that a firm is the sole owner of a stock of a natural...
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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
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