Problem 4 (30 points) It is known that 4000 automobile trips are generated in a large residential area from Noon to 1 PM on Saturdays for shopping purposes. Four major shopping centers have the following characteristics: Shopping Center -231 4 Distance from residential area Commercial floor space (mi) (thousands of feet-square) 2.4 200 4.6 150 5.0 300 8.7 600 a) If a logit model is estimated with coefficients of -0.543 for distance and 0.0165 for commercial floor space, how many shopping trips will be made to each of the four shopping centers? b) Suppose that shopping center 3 goes out of business and shopping center 2 is expanded to 450, 000 square footage of commercial space. What would be the new distribution of the 4000 Saturday afternoon shopping trips? c) If shopping center 3 is closed how much commercial floor space is needed in shopping centers 1 and 2 to ensure that each of them has the same probability of being selected as shopping center 4?

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Transportation engineering 

Problem 4 (30 points)
It is known that 4000 automobile trips are generated in a large residential area from Noon to 1 PM on
Saturdays for shopping purposes. Four major shopping centers have the following characteristics:
Shopping Center
-231
4
Distance from residential area
Commercial floor space
(mi)
(thousands of feet-square)
2.4
200
4.6
150
5.0
300
8.7
600
a) If a logit model is estimated with coefficients of -0.543 for distance and 0.0165 for commercial floor
space, how many shopping trips will be made to each of the four shopping centers?
b) Suppose that shopping center 3 goes out of business and shopping center 2 is expanded to 450, 000
square footage of commercial space. What would be the new distribution of the 4000 Saturday
afternoon shopping trips?
c) If shopping center 3 is closed how much commercial floor space is needed in shopping centers 1 and
2 to ensure that each of them has the same probability of being selected as shopping center 4?
Transcribed Image Text:Problem 4 (30 points) It is known that 4000 automobile trips are generated in a large residential area from Noon to 1 PM on Saturdays for shopping purposes. Four major shopping centers have the following characteristics: Shopping Center -231 4 Distance from residential area Commercial floor space (mi) (thousands of feet-square) 2.4 200 4.6 150 5.0 300 8.7 600 a) If a logit model is estimated with coefficients of -0.543 for distance and 0.0165 for commercial floor space, how many shopping trips will be made to each of the four shopping centers? b) Suppose that shopping center 3 goes out of business and shopping center 2 is expanded to 450, 000 square footage of commercial space. What would be the new distribution of the 4000 Saturday afternoon shopping trips? c) If shopping center 3 is closed how much commercial floor space is needed in shopping centers 1 and 2 to ensure that each of them has the same probability of being selected as shopping center 4?
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