4.28 A new toll bridge is to be constructed over the Green River at a cost of $120M. The bridge requires maintenance costing $4000 annually over its 50-year life. Every 10 years, the bridge will require repainting at a cost of $1M. The value to motorists using this bridge is estimated to be $1.60 per trip. If the interest rate is 10% and 25,000 vehicles per day travel over the bridge, how much toll should be charged for each crossing? Rounding that toll up to the nearest nickel, what is the consumers’ surplus?
14.28 A new toll bridge is to be constructed over the Green River at a cost of $120M. The bridge requires maintenance costing $4000 annually over its 50-year life. Every 10 years, the bridge will require repainting at a cost of $1M. The value to motorists using this bridge is estimated to be
$1.60 per trip. If the interest rate is 10% and 25,000 vehicles per day travel over the bridge, how much toll should be charged for each crossing? Rounding that toll up to the nearest nickel, what is the consumers’ surplus?
14.29 A dam may be built at a cost of $10M to elimi- nate the periodic flooding that Lowville experi- ences. That flooding averages a cost of $300K per year. Additional expenses can be incurred to divert water to another area for irrigation, to add electric power generation, and to permit recre- ation. Which alternative is best? Since political support is crucial, allocate the costs to the uses. The interest rate is 5%, and the horizon is 50 years.
Calculate a benefit/cost ratio for your recommended alternative.
Irrigation Recreation Electricity
First cost $4M $200K $3M Annual cost 100K 30K 500K Annual benefit 450K 50K 850K
(Answer: B/C = 1.05)
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