It is known that 5000 automobile trips are generated in a large residential area from 12:00 PM to 1:00 PM on Saturdays for shopping purposes. Four major shopping centres have the following characteristics: Shopping Centre 1 2 3 4 Distance from residential area (km) 4 9 8 14 Commercial floor space (thousands of m²) 20 15 30 60 Using a Logit model (with logit parameter equal to 1), the following utility function is estimated for the residents' choice of shopping destination: U = -0.283 X1 + 0.172 X2 where X1 is distance from residential area (km) X2 is commercial floor space (thousands of m²) Determine the number of shopping trips to each of the four shopping centres. Are the signs of the parameter coefficients reasonable? Discuss.

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter12: Forecasting Travel Demand
Section: Chapter Questions
Problem 20P
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It is known that 5000 automobile trips are generated in a large residential area from 12:00 PM
to 1:00 PM on Saturdays for shopping purposes. Four major shopping centres have the
following characteristics:
Shopping Centre
1
2
3
4
Distance from residential area (km)
4
9
8
14
Commercial floor space (thousands of m²)
20
15
30
60
Using a Logit model (with logit parameter equal to 1), the following utility function is estimated
for the residents' choice of shopping destination:
U = -0.283 X1 + 0.172 X2
where
X1 is distance from residential area (km)
X2 is commercial floor space (thousands of m²)
Determine the number of shopping trips to each of the four shopping centres. Are the signs of
the parameter coefficients reasonable? Discuss.
Transcribed Image Text:It is known that 5000 automobile trips are generated in a large residential area from 12:00 PM to 1:00 PM on Saturdays for shopping purposes. Four major shopping centres have the following characteristics: Shopping Centre 1 2 3 4 Distance from residential area (km) 4 9 8 14 Commercial floor space (thousands of m²) 20 15 30 60 Using a Logit model (with logit parameter equal to 1), the following utility function is estimated for the residents' choice of shopping destination: U = -0.283 X1 + 0.172 X2 where X1 is distance from residential area (km) X2 is commercial floor space (thousands of m²) Determine the number of shopping trips to each of the four shopping centres. Are the signs of the parameter coefficients reasonable? Discuss.
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