Question
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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