An individual is planning to take an 800-mile trip between two large cities. Three possibilities exist: air, rail, or auto. The person is willing to pay $25 for every hour saved in making the trip. The trip by air costs $600 and travel time is 8 hours, by rail the cost is $450 and travel time is 16 hours, and by auto the cost is $200 and travel time is 20 hours. Which mode is the best choice?

An individual is planning to take an 800-mile trip between two large cities. Three possibilities exist: air, rail, or auto. The person is willing to pay $25 for every hour saved in making the trip. The trip by air costs $600 and travel time is 8 hours, by rail the cost is $450 and travel time is 16 hours, and by auto the cost is $200 and travel time is 20 hours. Which mode is the best choice?

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter2: Transportation Systems And Organizations

Section: Chapter Questions

Problem 7P

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An individual is planning to take an 800-mile trip between two large cities. Three possibilities exist: air, rail, or auto. The person is willing to pay $25 for every hour saved in making the trip. The trip by air costs $650 and travel time is 10 hours, by rail the cost is $450 and travel time is 15 hours, and by auto the cost is $250 and travel time is 20 hours. Which mode is the best choice?
Buses are to be charted for an excursion. The bus company charges $20.00 per ticket if not more than 200 passengers go with the trip. However, the company agrees to reduce the price of every ticket $0.05 for each passenger in excess of 200 passengers. What number of passengers will produce the maximum gross income?
Q3) A manufacturing plant is to be constructed A manufacturing plant is to be constructed in the city of Ankara, in order to provide a faster service to its major customers in the surrounding area. There are three possible locations the company is considering. The distances (in km) from these three locations to the four major customers are listed in the table below. The transportation cost is approximately 1.00 TL/km. The annualized fixed cost of constructing the plant and the customers' demand (number of trips required per year) are also given in the table. Find the best location for this plant.
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Consider a simple transportation network that has one origin and one destination with two paths/links that provide access from the origin to the destination. One link is 9 miles long and has a capacity of 4800 vehicles per hour and a speed limit of 66 miles per hour. The other link is 6 miles long and has a capacity of 2400 vehicles per hour and a speed limit of 42 miles per hour. Assuming that 6000 drivers wish to make the trip from the origin to the destination, find the loaded network? a1 = 1.37904, b1 = 8.24124, a2 = 1.236, b2 = 6.2712