Annual Worth
As no interest rate is given, let's take 10% for calculation
For Alternative A
= - Construction Cost/PVIFA(10%,40years)
= -$30 million/9.7790507
= -$3,067,782
For Alternative B
(For infinite period)
= - Construction Cost x 0.10
= -$35,000,000 x 0.10
= -$3,500,000
Since the negative amount should be minimum, we prefer alternative A
Note :
PVIFA = Present Value Interest Factor Annuity
We get this from online tables available or we can calculate using calculator
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