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.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter5: Markets In Motion And Price Controls
Section: Chapter Questions
Problem 10P
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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?
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?
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