Question
A bridge is to be constructed now as part of a new road. An analysis has shown that traffic density on the new road will
A bridge is to be constructed now as part of a new road. An analysis has shown that traffic
density on the new road will justify a two-lane bridge at the present time. Because of
uncertainty regarding future use of the road, the time at which an extra two lanes will be
required is currently being studied. The estimated probabilities of having to widen the bridge
to four lanes at various times in future are as follows:
Widen Bridge In (years)=3 ,Probability=0.1
Widen Bridge In (years)=4 ,Probability=0.2
Widen Bridge In (years)=5 ,Probability=0.3
Widen Bridge In (years)=6 ,Probability=0.4
The present estimated cost of the two-lane bridge is $2,000,000. If constructed now,
the four-lane bridge will cost $4,000,000. The future cost of widening a two-lane bridge will
be an extra $2,000,000 plus $250,000 for every year the widening is delayed. If money can
earn 12% per year, what would you recommend?
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started