课程名称︰运输工程
课程性质︰土木系必修
课程教师︰赖勇成
开课学院：工学院
开课系所︰土木系
缴交日期（年月日）︰2017/10/25 14
试题 :
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%.