QUESTION 11 The function that relates the inverse of speed (1/S) (i.e., the time in minutes that it takes to travel 1 mile) to traffic (T) on a highway is 1/S = 4 + 0.05T. Demand for traffic (measure as traffic volume per minute) on this road is T=6,880– 70-(1/s). a. Find the equilibrium traffic volume in the absence of any congestion toll. b. Find the marginal cost function for traffic volume, where cost is expressed as travel time per mile in minutes. c. Find the optimal level of traffic volume. d. Find the optimal congestion toll, expressed in minutes. (Imagine that the congestion toll consists of sitting in the "penalty box" for this period of time.)

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4: Estimating Demand
Section: Chapter Questions
Problem 6E
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QUESTION 11
The function that relates the inverse of speed (1/S) (i.e., the time in minutes that it takes to
travel 1 mile) to traffic (T) on a highway is 1/S = 4 + 0.05T.
Demand for traffic (measure as traffic volume per minute) on this road is
T=6,880 -– 70.(1/S).
a. Find the equilibrium traffic volume in the absence of any congestion tollI.
b. Find the marginal cost function for traffic volume, where cost is expressed as travel time
per mile in minutes.
c. Find the optimal level of traffic volume.
d. Find the optimal congestion toll, expressed in minutes. (Imagine that the congestion toll
consists of sitting in the "penalty box" for this period of time.)
Transcribed Image Text:QUESTION 11 The function that relates the inverse of speed (1/S) (i.e., the time in minutes that it takes to travel 1 mile) to traffic (T) on a highway is 1/S = 4 + 0.05T. Demand for traffic (measure as traffic volume per minute) on this road is T=6,880 -– 70.(1/S). a. Find the equilibrium traffic volume in the absence of any congestion tollI. b. Find the marginal cost function for traffic volume, where cost is expressed as travel time per mile in minutes. c. Find the optimal level of traffic volume. d. Find the optimal congestion toll, expressed in minutes. (Imagine that the congestion toll consists of sitting in the "penalty box" for this period of time.)
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