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The transportation ministry has decided to construct a new highway to facilitate traffic between two cities. Three mutually exclusive alternative routes are being studied using

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The transportation ministry has decided to construct a new highway to facilitate traffic between two cities. Three mutually exclusive alternative routes are being studied using the Benefit-to-Cost ratio analysis with annual MARR of 10%, as shown in the table below. Route Initial Cost ($) Maintenance Cost ($) per year Collected toll per vehicle at the gates Travel time savings (minutes) per vehicle Value of saved time per hour Estimated traffic volume (no. of vehicles per day in each year) Estimated life (years) X 2,200,000 120,000 $1.0 4 $10 700 15 Y 3,800,000 160,000 $1.2 5 $10 900 20 (a) What is the annual worth of Net Costs for constructing routes X, Y, & Z? (b) What is the annual worth of Net Benefits for constructing routes X, Y, & Z? (c) What is the BCR for constructing routes X, Y, & Z? (d) Using incremental comparison, which route is the best alternative? Z 4,300,000 210,000 $1.4 7 $10 800 20 The transportation ministry has decided to construct a new highway to facilitate traffic between two cities. Three mutually exclusive alternative routes are being studied using the Benefit-to-Cost ratio analysis with annual MARR of 10%, as shown in the table below. Route Initial Cost ($) Maintenance Cost ($) per year Collected toll per vehicle at the gates Travel time savings (minutes) per vehicle Value of saved time per hour Estimated traffic volume (no. of vehicles per day in each year) Estimated life (years) X 2,200,000 120,000 $1.0 4 $10 700 15 Y 3,800,000 160,000 $1.2 5 $10 900 20 (a) What is the annual worth of Net Costs for constructing routes X, Y, & Z? (b) What is the annual worth of Net Benefits for constructing routes X, Y, & Z? (c) What is the BCR for constructing routes X, Y, & Z? (d) Using incremental comparison, which route is the best alternative? Z 4,300,000 210,000 $1.4 7 $10 800 20

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