Macroeconomics
Macroeconomics
13th Edition
ISBN: 9781337617390
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)
Suppose that managers at Honda are deciding how to price the new Honda Accord. The managers estimate that their total costs increase by $20,000 for each car they produce. They also estimate the demand curve they face; it is described by the equation: Q = -0.4 P + 16,000, where Q represents the quantity of Honda Accords they will sell and P represents the price they charge in US dollars. We can re-write that demand curve as: P = 40,000 - 2.5 Q. Take every possibly quantity that the managers might choose between and 7,000 in units of 100. For each possible quantity, calculate the associated price the managers would need to charge, the revenue they would earn, and the total costs. You can then calculate profits for each level of quantity. Highlight the cell that contains the highest value of profit. Finally, you can also approximate marginal revenue here as the change in total revenue after the next 100 cars are produced. At what quantity does marginal revenue roughly equal marginal cost?…
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