The mayor of Maize is considering proposals to deal with an unsafe intersection. She could install a traffic light at a cost of $$50,000$ or she could install stop signs at a cost of $$5,000.$ The traffic light is expected to reduce the risk of fatality by $0\mathrm{.}45$ percent and the stop signs are expected to reduce the risk of fatality by $0\mathrm{.}054$ percent. If the value of human life is estimated to be $$10$ million, what choice should the mayor make? Briefly explain making sure to include any calculations used by economists to make the decision. Be careful with the decimals $($In decimals, $10$ percent $=0\mathrm{.}1$ and $1$ percent is $0\mathrm{.}01).$