Question

The cost of grading and spreading gravel on a curvy rural road is expected to be $300,000. The road will have to be maintained at a cost of $26,000 per year. Even though the new road is not very smooth, it allows access to an area that previously could only be reached with off-road vehicles. The improved accessibility has led to a 200% increase in the property values along the road. If the previous market value of the property was $900,000, calculate the conventional B/C ratio using an interest rate of 6% per year and a 20-year study period.

Answer 1

Answer:

1.51

Explanation:

Calculation for the conventional B/C ratio

First step is to calculate B

B = $900,000(200%) -$900,000

B= $1,800,000-$900,000

B=$900,000

Second Step is to calculate C

C = $300,000 + $26,000(P/A,6%,20)

C= $300,000 + $26,000(11.4699)

C=$300,000+$298.218

C= $598,218

Last step is to calculate B/C ratio

Using this formula

B/C ratio=B/C

Let plug in the formula

B/C ratio = 900,000/598,218

B/C ratio= 1.5044

B/C ratio=1.51 Approximately

Therefore the conventional B/C ratio will be 1.51