Question

In: Economics

Show all work. Use a MARR of 2% ! The cost projections for two alternatives for...

Show all work. Use a MARR of 2% !

  1. The cost projections for two alternatives for a proposed bridge are provided below. Which alternative would you recommend in order to minimize cost? (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

Solutions

Expert Solution

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.


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