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A firm produces nail guns, which have the potential to cause injury. The safety of each nail gun can be improved if the firm spends

A firm produces nail guns, which have the potential to cause injury. The safety of each nail gun can be improved if the firm spends more on safety. For a given level of expenditures on safety improvements, the corresponding probability of loss is given in the following table. Assume that an accident imposes costs on a victim equal to $50,000.

Probability of Loss Safety Expenditures
0.03 $0
0.02 $100
0.015 $225
0.012 $375
0.01 $530
0.008 $705

Do not include dollar signs "$" in your answer.

1. (2 marks) What is the optimal amount spent on safety devices from a societal perspective?

2. (2 marks) Although the expected severity is $50,000, it is known that courts do not compensate for pain and suffering. Specifically, the total amount awarded is anticipated to be $30,000. In this case, how much would the manufacturer spend on safety?

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