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The National Highway System (NHS) is a network of strategic highways within the United States, including the Interstate Highway System and other roads serving major

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"The National Highway System (NHS) is a network of strategic highways within the United States, including the Interstate Highway System and other roads serving major airports, ports, rail or truck terminals, railway stations, pipeline terminals and other strategic transport facilities. Altogether, it constitutes the largest highway system in the world." (National Highway System (United States), 2017) Two routes are under consideration for a new highway that will take two years to complete. The long intervalley route would be 25 miles in length and would have an initial cost of $50 million for the 1st year and $30 million for the 2nd year. The short transmountain route would be 10 kilometers long and would have an initial cost of $75 million for the 1st year and $50 Million for the 2nd year. Maintenance costs are estimated at $2.5 Million per year for the long route and $1.0 Million per year for the short route for the first year. The maintenance cost is expected to rise with estimated US inflation over time. (You can estimate the inflation increase and distribution based on historical information). Regardless of which route is selected, the initial volume of traffic (start of 3rd year) is expected to be 400,000 vehicles per year (normally distributed with the std dev at 20,000 vehicles). The estimated driving growth in vehicles is 2% per year starting in the 2nd year after opening. This increase is uniformly distributed +/- 0.5%. Each option would have to be repaved every 5 years at a cost of $500,000 per mile in today's cost (assume the same inflation rate at above). Assume a 20 year project window and an interest rate of 6%, what is the least expensive investment using NPV (Monte Carlo simulation of the cost)? If the vehicle operating expenses are assumed to be $0.20 per mile, how might this analysis differ when considering the public benefit? "The National Highway System (NHS) is a network of strategic highways within the United States, including the Interstate Highway System and other roads serving major airports, ports, rail or truck terminals, railway stations, pipeline terminals and other strategic transport facilities. Altogether, it constitutes the largest highway system in the world." (National Highway System (United States), 2017) Two routes are under consideration for a new highway that will take two years to complete. The long intervalley route would be 25 miles in length and would have an initial cost of $50 million for the 1st year and $30 million for the 2nd year. The short transmountain route would be 10 kilometers long and would have an initial cost of $75 million for the 1st year and $50 Million for the 2nd year. Maintenance costs are estimated at $2.5 Million per year for the long route and $1.0 Million per year for the short route for the first year. The maintenance cost is expected to rise with estimated US inflation over time. (You can estimate the inflation increase and distribution based on historical information). Regardless of which route is selected, the initial volume of traffic (start of 3rd year) is expected to be 400,000 vehicles per year (normally distributed with the std dev at 20,000 vehicles). The estimated driving growth in vehicles is 2% per year starting in the 2nd year after opening. This increase is uniformly distributed +/- 0.5%. Each option would have to be repaved every 5 years at a cost of $500,000 per mile in today's cost (assume the same inflation rate at above). Assume a 20 year project window and an interest rate of 6%, what is the least expensive investment using NPV (Monte Carlo simulation of the cost)? If the vehicle operating expenses are assumed to be $0.20 per mile, how might this analysis differ when considering the public benefit

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