課程名稱︰運輸工程
課程性質︰土木系必修
課程教師︰賴勇成
開課學院：工學院
開課系所︰土木系
繳交日期（年月日）︰2017/10/25 14
試題 :
Problem 1 (60 points)
Three alternatives are being considered for improving a street intersection.
The annual dollar savings on account of the improvement is shown. Assume that
the intersection will last for 30 years and the interest rate is 2%. It is
assumed that each of the three improvements is mutually exclusive but provides
similar benefits. Please use net present worth(NPW) and equivalent uniform
annual cost(EUAC) to determine which one to be selected.
Alternative Total cost Annual benefits
A ＄10,000 $800
B ＄12,000 $1,000
C ＄19,000 $1,400
Problem 2 (50 points)
Capital cost of a rural highway project is $10,000,000. This project will
shorten the road by 2km and reduce journey times by an average of 5 min each.
The project is also expected to reduce traffic accidents by an average of 5
per year and to reduce annual maintenance costs by $5,000. Average daily
traffic on this road is currently 7,000, with a load factor of 1.5 persons per
vehicle. Traffic is expected to increase linearly by 10 percent over the 20
year life of the project. If vehicle operating costs are$0.10/km, travelers
value their time at $3/h, and average cost of a traffic accident is $20,000,
what is the benefit-cost ratio? Assume an interest rate of 5%.