1. A city has a utility function for use in a logit model of the form U = -0.075A-0.05W-0.04R -0.02C where A is the access time in minutes, W is the waiting time in minutes, R is the riding time in minutes, and C is the out-of-pocket cost in cents. (a) What modal distribution would you expect, using the following values for A, W, R, and C, for the four modes used in the city.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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1. A city has a utility function for use in a logit model of the form
U = -0.075A -0.05W-0.04R -0.02C
where A is the access time in minutes, W is the waiting time in minutes, R is the riding
time in minutes, and C is the out-of-pocket cost in cents.
(a) What modal distribution would you expect, using the following values for A, W, R, and
C, for the four modes used in the city.
Mode
Auto
Rail
Bus
Bike
A
6
7
10
1
W
1
10
15
0
R
25
15
35
45
C
300
75
60
10
(b) The city is seriously thinking of subsidizing rail and bus by 50%, encouraged biking
by constructing bike paths and thus reducing biking time by 20%, and increasing auto
costs (through higher parking charges) by 10%. What is likely to be the new modal
distribution with these charges?
Transcribed Image Text:1. A city has a utility function for use in a logit model of the form U = -0.075A -0.05W-0.04R -0.02C where A is the access time in minutes, W is the waiting time in minutes, R is the riding time in minutes, and C is the out-of-pocket cost in cents. (a) What modal distribution would you expect, using the following values for A, W, R, and C, for the four modes used in the city. Mode Auto Rail Bus Bike A 6 7 10 1 W 1 10 15 0 R 25 15 35 45 C 300 75 60 10 (b) The city is seriously thinking of subsidizing rail and bus by 50%, encouraged biking by constructing bike paths and thus reducing biking time by 20%, and increasing auto costs (through higher parking charges) by 10%. What is likely to be the new modal distribution with these charges?
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