It was estimated that the number of trips between north Davis and the campus during the 8-9 AM peak hour is given by the following trip generation model: Q = 500 + 5.0(class) + 0.05(students) where Q is the total number of trips during the peak hour, class is the number of classes taught between 8-9 AM, and students is the number of students on campus. It was further estimated that there are 80 classes taught on campus between 8-9 AM and the student population is 15,000. Furthermore, these trips were accomplished by three modes: auto, Unitrans, and bicycles, whose shares are determined by the following multinomial logit choice model: Um = βm − 0.50C − 0.02T where C is out-of-pocket cost (dollars) and T is travel time (minutes). Values of βm are: Auto : 4.50 U nitrans : 3.0 Bicycle : 2.50 Suppose that the cost of an auto trip, which takes 8 minutes, is $5.50 (includes parking); Unitrans, which takes 25 minutes, costs $1.00; bicycle trips take 12 minutes and cost $0.50 per trip. (a) Compute the total number of trips between north Davis and campus during the morning peak hour.  (b) For these trips, compute the number of trips by each mode.  (c) In an attempt to reduce the amount of driving to class, UC Davis intends to raise the price of a parking permit. How much does the price of driving have to increase in order to meet their goal of reducing auto trips to campus to 100?

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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  1. It was estimated that the number of trips between north Davis and the campus during the 8-9 AM peak

hour is given by the following trip generation model: Q = 500 + 5.0(class) + 0.05(students) where Q is the total number of trips during the peak hour, class is the number of classes taught between 8-9 AM, and students is the number of students on campus. It was further estimated that there are 80 classes taught on campus between 8-9 AM and the student population is 15,000. Furthermore, these trips were accomplished by three modes: auto, Unitrans, and bicycles, whose shares are determined by the following multinomial logit choice model: Um = βm − 0.50C − 0.02T where C is out-of-pocket cost (dollars) and T is travel time (minutes). Values of βm are: Auto : 4.50 U nitrans : 3.0 Bicycle : 2.50 Suppose that the cost of an auto trip, which takes 8 minutes, is $5.50 (includes parking); Unitrans, which takes 25 minutes, costs $1.00; bicycle trips take 12 minutes and cost $0.50 per trip.

(a) Compute the total number of trips between north Davis and campus during the morning peak hour. 

(b) For these trips, compute the number of trips by each mode. 

(c) In an attempt to reduce the amount of driving to class, UC Davis intends to raise the price of a parking permit. How much does the price of driving have to increase in order to meet their goal of reducing auto trips to campus to 100? 

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