Bundle: Microeconomics, 13th + Aplia, 1 Term Printed Access Card
Bundle: Microeconomics, 13th + Aplia, 1 Term Printed Access Card
13th Edition
ISBN: 9781337742535
Author: Roger A. Arnold
Publisher: Cengage Learning
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Chapter 5, Problem 8QP
To determine

Toll prices and freeway space.

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Consider an urban highway that is subject to traffic congestion. The average cost of travel per mile on that highway is (in cents): AC= 10 + 4T, where Tis traffic volume per hour, measured in 100s of vehicles per hour. For example, if T = 500 cars per hour, AC = 30 cents per mile. Assume that the demand for traffic per hour (during rush hour) is T = 46 – P, where P is the "price" paid by the driver. а. Assume that no congestion toll is imposed. Compute equilibrium T and P. b. Assume that it is possible to impose the efficient congestion toll. Find the toll, and the efficient levels of T, P, and AC.
Suppose that you are in charge of a toll bridge over the Mississippi River. The demand for bridge crossing Q is given by the following: 2P = 20 - Q a) How many people would cross the bridge if there were no toll? (YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT) b) The toll bridge operator is considering setting up a price of $5.00. At that price, how many people will cross the bridge? (YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT) c) How many people would cross the bridge if the toll is set at $10.00? (YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT)
Q1. Suppose the government is considering an increase in the toll on a certain stretch of highway from $3 to $4. At present, 1 million cars per week use that highway stretch; after the toll is imposed, the number of cars per week will change according to its price elasticity of demand of -0.8 (this elasticity value is estimated based on the initial-value method). If the marginal cost of highway use is constant (i.e., the supply curve is horizontal) and equal to $3 per car, what is the net annual cost to society attributable to the increase in the toll? (your answer must be rounded off to the nearest million dollars per year, i.e., no decimal places; there are 52 weeks in a year)
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