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Suppose a Treacherous Stretch of Road Winds Through Deadman's Canyon

Question 3

Multiple Choice

Suppose a treacherous stretch of road winds through Deadman's Canyon for 5 miles.A highway department study estimates that better lighting would reduce the traffic fatality rates as follows:  Number of lights  Estimated deaths per year  Total installation cost (in millions)  03$0 m12$3 m21.5$7 m31.2$12 m41$18 m50.9$25 m\begin{array} { c c c } \text { Number of lights } & \text { Estimated deaths per year } & \text { Total installation cost (in millions) } \\0 & 3 & \$ 0 \mathrm {~m} \\1 & 2 & \$ 3 \mathrm {~m} \\2 & 1.5 & \$ 7 \mathrm {~m} \\3 & 1.2 & \$ 12 \mathrm {~m} \\4 & 1 & \$ 18 \mathrm {~m} \\5 & 0.9 & \$ 25 \mathrm {~m}\end{array}
Suppose that experts have estimated the statistical value of a life saved to be $8m.The highway department has a limited budget,and can save,on average,1 additional life per year for each $2 million dollars it spends on guardrails.If this is the case,the highway department should install ___ lights in Deadman's Canyon.


A) 0
B) 1
C) 2
D) 3

Correct Answer:

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