A swim club is designing a new pool to replace its old pool. The new pool would need to last for 10 years since the club is planning on relocating after 10 years. A concrete shell would cost $100,000 and last for all 10 years
Another option is to install a vinyl liner that would cost only $75,000 to install. However, the vinyl is not guaranteed to last for all 10 years, and it has a 33% chance of breaking down. Repair of the vinyl would cost $40,000 and would extend the life of the vinyl liner to the 10-year mark. If both options are acceptable to the swim club, which one minimizes their cost?
EMV(in thousands) of vinyl is .33(115 ) + .67(75 ) = $88.2
EMV(in thousands) of concrete is $100
The club should install the vinyl option to minimize cost.
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