a) Assume that people can go to work from home either by SkyTrain or by car. Driving takes 10 min if there is no one else using the road, while SkyTrain always takes 20 min. If there are N other cars using the road, it takes C=N/50+10 min for each person to drive. Suppose we ignore the energy cost and only focus on the time cost. What is the efficient number of cars on the road? Assume SkyTrain always has enough space and you pay $3 for each ride, and the time cost is 1$/min for each traveler. Also assume that the operation cost of Skytrain is independent of the number of passengers.

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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a) Assume that people can go to work from home either by SkyTrain or by car. Driving takes 10 min if
there is no one else using the road, while SkyTrain always takes 20 min. If there are N other cars using
the road, it takes C=N/50+10 min for each person to drive. Suppose we ignore the energy cost and only
focus on the time cost. What is the efficient number of cars on the road? Assume SkyTrain always has
enough space and you pay $3 for each ride, and the time cost is 1$/min for each traveler. Also assume
that the operation cost of Skytrain is independent of the number of passengers.
Transcribed Image Text:a) Assume that people can go to work from home either by SkyTrain or by car. Driving takes 10 min if there is no one else using the road, while SkyTrain always takes 20 min. If there are N other cars using the road, it takes C=N/50+10 min for each person to drive. Suppose we ignore the energy cost and only focus on the time cost. What is the efficient number of cars on the road? Assume SkyTrain always has enough space and you pay $3 for each ride, and the time cost is 1$/min for each traveler. Also assume that the operation cost of Skytrain is independent of the number of passengers.
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