Question

In: Economics

The B/C ratio for a flood control project along the Swanee River was calculated to be...

The B/C ratio for a flood control project along the Swanee River was calculated to be 1.4. If the benefits were $600,000 per year and the maintenance costs were $200,000 per year, determine the initial cost of the project at an interest rate of 8% per year and a 50-year life. ( using spreadsheet)

Solutions

Expert Solution

Solution:-

Benefit cost ratio is given = PW of benefits/PW of costs

PW of benefits = 600,000 (P/A,8%,50)

                           = 600,000*12.233

                           = 7,339,800

PW of Costs = A+200,000(P/A,8%,50)

                       =A+200,000*12.233

                       =A+2,446,600

As per above benefit cost ration:

1.4 =7,339,800/A+2,446,600

1.4A + 1.4*2,446,600=7,339,800

1.4A + 3,425,240 = 7,339,800

1.4A = 7,339,800-3,425,240

1.4A = 3,914,560

A= 3,914,560/1.4

A= 2,796,114.26

This gives initial cost = 2,796,114.26


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