The total number of trips from ABC to XYC is 4500. All of the trips are made using car. The government proposed two alternatives, a train and a bus. The utility is given by the equation: U = -0.05(TT)-0.04(WT) - 0.07(W) - 0.2(F) - 0.2(P) TT in-vehicle travel time WT- walking time to terminal W-waiting time F-fare P-parking cost The travel time for private car is 20 minutes, 12 for bus and 10 for train. Walking time for different terminals for bus and train is 10 and 15 minutes respectively. The waiting time is 8 and 6 minutes for bus and train respectively, and the fare for car, bus and train is at $20, $8.5 and $7 dollars respectively. Parking cost for car is $3. What is the total number of trips by train?

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The total number of trips from ABC to XYC is 4500. All of the trips are made using car. The government proposed two
alternatives, a train and a bus. The utility is given by the equation:
U = -0.05(TT)-0.04(WT) - 0.07(W) - 0.2(F) - 0.2(P)
TT in-vehicle travel time
WT- walking time to terminal
W-waiting time
F-fare
P-parking cost
The travel time for private car is 20 minutes, 12 for bus and 10 for train. Walking time for different terminals for bus and
train is 10 and 15 minutes respectively. The waiting time is 8 and 6 minutes for bus and train respectively, and the fare for
car, bus and train is at $20, $8.5 and $7 dollars respectively. Parking cost for car is $3.
What is the total number of trips by train?
Transcribed Image Text:The total number of trips from ABC to XYC is 4500. All of the trips are made using car. The government proposed two alternatives, a train and a bus. The utility is given by the equation: U = -0.05(TT)-0.04(WT) - 0.07(W) - 0.2(F) - 0.2(P) TT in-vehicle travel time WT- walking time to terminal W-waiting time F-fare P-parking cost The travel time for private car is 20 minutes, 12 for bus and 10 for train. Walking time for different terminals for bus and train is 10 and 15 minutes respectively. The waiting time is 8 and 6 minutes for bus and train respectively, and the fare for car, bus and train is at $20, $8.5 and $7 dollars respectively. Parking cost for car is $3. What is the total number of trips by train?
Expert Solution
Step 1

Given data :

U=-0.05(TT)-0.04(WT)-0.07(W)-0.2(F)-0.2(P)

TT= in vehicle travel time

WT= walking time

W= waiting time

F=fare

P= parking cost 

 

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