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

question 96

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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}
Highway engineers have identified one level area in which one light could be located,but due to the rough terrain installation in additional locations is increasingly costly as more light locations are added.The highway department


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