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Alternative routes are being considered for a new highway between two cities. Route S will be shorter but will have to be constructed over more

Alternative routes are being considered for a new highway between two cities. Route S will be shorter but will have to be constructed over more difficult terrain. It will cost $6,120,000 for a length of 15.3 miles. Annual upkeep and operation costs will be $81,000. The life will be indefinitely long except for reconstruction every 20 years at a cost of $1,560,000. Route L will be longer, but by following the contour of the land, it will be cheaper to construct. It will cost $3,750,000 for a length of 18.5 miles. Annual upkeep and operation costs will be $98,000. Although its life will be indefinitely long, reconstruction will be necessary every 20 years at $1,880,000. The average traffic is estimated to be 1,000 cars a day, 20% of this being commercial vehicles. The average speed over the highway is expected to be 50 miles an hour. The operating cost for commercial vehicles is 20 cents per mile and for private cars 5 cents per mile. The cost of time is $5.00 per hour for commercial vehicles and $2.00 for private cars. The frequency of accidents is expected to be the same for either route. If the cost of capital is 5%, which location should be selected, based on incremental benefit cost analysis?

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