In: Economics
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)
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