In: Economics
Show all work. Use a MARR of 2% !
A |
B |
|
Initial Construction costs |
$ 15,000,000.00 |
$ 45,000,000.00 |
Annual Maintenance Costs |
$ 3,750,000.00 |
$ 2,000,000.00 |
Present value of maintenance cost should be calculated first.
Alternative A:
Since the number of years is not gives, present value for perpetuity should be applied here.
Present value of maintenance cost = Annual cost / MARR
= 3,750,000 / 0.02
= $187,500,000
Total cost = Present value + Initial cost
= 187,500,000 + 15,000,000
= $202,500,000
Alternative B:
Since the number of years is not gives, present value for perpetuity should be applied here.
Present value of maintenance cost = Annual cost / MARR
= 2,000,000 / 0.02
= $100,000,000
Total cost = Present value + Initial cost
= 100,000,000 + 15,000,000
= $115,000,000
Total cost is the minimum for alternative B.
Recommendation: B is recommended, since its cost is the minimum.