1. For parts a, b and c refer to a good for which the supply and demand equations are given by: Qa = 250 - 15P Qs = 100 + 10P where Qd, Qs and P represent, respectively, the quantity demanded, the quantity supplied in units per week, and the good's price in £. Which of the following statements are true, false or uncertain? Fully explain your reasons by drawing a relevant diagram for each part: a) when P = £10 there is an excess demand of 100 units; b) when Q = 160 units per week the market is in equilibrium; c) if the government imposed a fixed tax of £5 per unit produced, the equilibrium quantity will increase while the equilibrium price will fall.
1. For parts a, b and c refer to a good for which the supply and demand equations are given by: Qa = 250 - 15P Qs = 100 + 10P where Qd, Qs and P represent, respectively, the quantity demanded, the quantity supplied in units per week, and the good's price in £. Which of the following statements are true, false or uncertain? Fully explain your reasons by drawing a relevant diagram for each part: a) when P = £10 there is an excess demand of 100 units; b) when Q = 160 units per week the market is in equilibrium; c) if the government imposed a fixed tax of £5 per unit produced, the equilibrium quantity will increase while the equilibrium price will fall.
Chapter5: Markets In Motion And Price Controls
Section: Chapter Questions
Problem 10P
Related questions
Question
100%
![1.
For parts a, b and c refer to a good for which the supply and demand equations are given by:
Qa = 250 – 15P
%3D
Qs = 100 + 10P
where Qd, Qs and P represent, respectively, the quantity demanded, the quantity supplied in
units per week, and the good's price in £.
Which of the following statements are true, false or uncertain? Fully explain your reasons by
drawing a relevant diagram for each part:
a) when P = £10 there is an excess demand of 100 units;
b) when Q = 160 units per week the market is in equilibrium;
c) if the government imposed a fixed tax of £5 per unit produced, the equilibrium quantity
will increase while the equilibrium price will fall.
Parts d and e refer to a single-price profit-maximising monopolist whose demand curve and
total cost curve are given by:
P = AQ¬05
TC = 10 + 0.75Q
%D
where TC is measured in £k per week and Q represents output measured in 1000s of units
per week.
d) Show that the price elasticity of demand is constant, for all values of A, and is
always equal to -2.
e) What is the profit-maximising output, and the monopolist's total profit?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff855032e-6e5b-4285-83cb-22aa33134338%2F07647676-2ea2-4137-83f5-5c5a20536dc5%2Fb1nhlci_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.
For parts a, b and c refer to a good for which the supply and demand equations are given by:
Qa = 250 – 15P
%3D
Qs = 100 + 10P
where Qd, Qs and P represent, respectively, the quantity demanded, the quantity supplied in
units per week, and the good's price in £.
Which of the following statements are true, false or uncertain? Fully explain your reasons by
drawing a relevant diagram for each part:
a) when P = £10 there is an excess demand of 100 units;
b) when Q = 160 units per week the market is in equilibrium;
c) if the government imposed a fixed tax of £5 per unit produced, the equilibrium quantity
will increase while the equilibrium price will fall.
Parts d and e refer to a single-price profit-maximising monopolist whose demand curve and
total cost curve are given by:
P = AQ¬05
TC = 10 + 0.75Q
%D
where TC is measured in £k per week and Q represents output measured in 1000s of units
per week.
d) Show that the price elasticity of demand is constant, for all values of A, and is
always equal to -2.
e) What is the profit-maximising output, and the monopolist's total profit?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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.Recommended textbooks for you
![Exploring Economics](https://www.bartleby.com/isbn_cover_images/9781544336329/9781544336329_smallCoverImage.jpg)
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc
![Principles of Economics 2e](https://www.bartleby.com/isbn_cover_images/9781947172364/9781947172364_smallCoverImage.jpg)
Principles of Economics 2e
Economics
ISBN:
9781947172364
Author:
Steven A. Greenlaw; David Shapiro
Publisher:
OpenStax
![Exploring Economics](https://www.bartleby.com/isbn_cover_images/9781544336329/9781544336329_smallCoverImage.jpg)
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc
![Principles of Economics 2e](https://www.bartleby.com/isbn_cover_images/9781947172364/9781947172364_smallCoverImage.jpg)
Principles of Economics 2e
Economics
ISBN:
9781947172364
Author:
Steven A. Greenlaw; David Shapiro
Publisher:
OpenStax