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A Swim Club Is Designing a New Pool to Replace

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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?

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