The local highway department is preparing an economic analysis to see whether reconstruction of the pavement on
Question:
The local highway department is preparing an economic analysis to see whether reconstruction of the pavement on a mountain road is justified. The number of vehicles traveling on the road increases each year, hence the benefits to the motoring public of the pavement reconstruction also increase, based on a traffic count, the benefits are projected as follows:
Year End-of-Year Benefit
2001 $10,000
2002 12,000
2003 14,000
2004 16,000
2005 18,000
2006 20,000
And so on, increasing
$2000per year
The reconstructed pavement will cost $275,000 when it is installed and will have a 15-year useful life. The construction period is short hence a beginning-of year reconstruction will result in the end-of year benefits listed in the table. Assume a 6% interest rate. The reconstruction, if done at all, must be done not later than 2006. Should it be done, and if so, in what year
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