(b) Show that the equilibrium price (p*) and number of trips demanded (Q*) are given by: p* Q* = 120 90-C+T 1800-100C - 20T 90-C+T (c) The local government wants to reduce congestion on the airport road by lowering the use of taxis to Q' < Q*. Suppose that a tax is imposed on petrol which raises C from C = 10 to C = 15. Use diagrams to illustrate the impact of this tax on the prices and quantities in the market for taxis.

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
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Chapter1: Making Economics Decisions
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(b) Show that the equilibrium price (p*) and number of trips demanded (Q*) are given
by:
p* =
120
90-C+T
1800 100C - 20T
90-C + T
(c) The local government wants to reduce congestion on the airport road by lowering
the use of taxis to Q' < Q*. Suppose that a tax is imposed on petrol which raises C
from C = 10 to C = 15. Use diagrams to illustrate the impact of this tax on the
prices and quantities in the market for taxis.
(d) The local government could instead reduce congestion by creating licenses which
put a hard limit Qmax = Q' on the maximum number of daily trips to the airport.
Is the amount of total surplus and deadweight loss created in the taxi market
different to solution proposed in part (c)? Use diagrams to assist you in your answer.
(e) Would increasing T by building a new railway line to the airport be a better way to
achieve the government's goals? Evaluate the pros and cons of this solution relative
to creating a tax on petrol
Transcribed Image Text:(b) Show that the equilibrium price (p*) and number of trips demanded (Q*) are given by: p* = 120 90-C+T 1800 100C - 20T 90-C + T (c) The local government wants to reduce congestion on the airport road by lowering the use of taxis to Q' < Q*. Suppose that a tax is imposed on petrol which raises C from C = 10 to C = 15. Use diagrams to illustrate the impact of this tax on the prices and quantities in the market for taxis. (d) The local government could instead reduce congestion by creating licenses which put a hard limit Qmax = Q' on the maximum number of daily trips to the airport. Is the amount of total surplus and deadweight loss created in the taxi market different to solution proposed in part (c)? Use diagrams to assist you in your answer. (e) Would increasing T by building a new railway line to the airport be a better way to achieve the government's goals? Evaluate the pros and cons of this solution relative to creating a tax on petrol
=
23. The daily market demand for trips from the airport to the city by taxi is given by QD
100 (T+60)p, where T≥ 0 is the number of trains from the airport to the city per
day. The market supply of taxis is given by Qs = (30-C)p - 20 where C ≥ 0 is the
cost of petrol (per litre).
(a) What happens to the demand for taxi trips as we increase T? Provide some
economic intuition for this effect.
Transcribed Image Text:= 23. The daily market demand for trips from the airport to the city by taxi is given by QD 100 (T+60)p, where T≥ 0 is the number of trains from the airport to the city per day. The market supply of taxis is given by Qs = (30-C)p - 20 where C ≥ 0 is the cost of petrol (per litre). (a) What happens to the demand for taxi trips as we increase T? Provide some economic intuition for this effect.
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