The Arkansas state government is considering a policy to reduce the states exposure to particulate matter in the atmosphere. Arkansas breathing is particulate matter are at an increased risk of developing respiratory illness or heart disease that may result in death. To determine whether the benefits of the policy outweigh the costs, the state legislature hires you to determine the value of human life. The $3$ million Arkansas exposed to the particulate matter are willing to pay $$12$ to reduce the states atmospheric pollution and decrease the risk of death from $1$ out of $125000$ to $1$ out of $200000.$ How much value do Arkansas place on a human life?