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ABC Explosives has purchased fire insurance for its factory. It can institute a ...

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ABC Explosives has purchased fire insurance for its factory. It can institute a fire prevention program, which would cost $90, but which would lower the probability of a fire from 0.01 to 0.001. The insurance company cannot determine whether ABC has instituted the program. However, it charges a deductible in the event of a fire (i.e. ABC has to pay a certain amount to the insurance company if a fire occurs). What is the smallest deductible that will encourage ABC to institute the fire prevention program?

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