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The city is intalling a new swimming pool in the east end recreation centre. One design being considered is a reinforced concrete pool that will

The city is intalling a new swimming pool in the east end recreation centre. One design being considered is a reinforced concrete pool that will cost $5,000,000 to install. Thereafter, the inner surface of the pool will need to be refinished and painted every 5 years at a cost of $360,000 per refinishing. Assuming that the pool will have essentially an infinite life, what is the present worth of the costs associated with the pool design? The city uses a MARR of 3%. If the installation costs, refinishing costs, and MARR are subject to 5% or 10% increases or decreases, how is the present worth affected?

All calculations are performed using 4 significant figures.

(a) Complete the table below:

Sensitivity Analysis Calculated Values

Parameter

-10%

-5%

Base Case

+5%

+10%

Construction Costs

5,000,000

Refinishing Costs

360,000

MARR [%]

3

Present worth of Costs

-10%

-5%

0%

+5%

+10%

Changes to Construction Costs

7.260E6

Changes to Refinishing Costs

7.260E6

Changes to MARR

7.260E6

(b) To which parameter (Construction Costs [CC], Refinishing Costs [RC], or MARR is the present worth of the project most sensitive?

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