Mayers & Smith Corp. has a fertilizer plant. The probability of an explosion at the plant depends on how much the firm spends on safety as given by the table. If an explosion occurs, the loss to society $($damaged equipment death of employees, etc.$)$ is expected to be $$250$ million. Find the optimal level of safety from a societal perspective.Safety Expenditure $($millions of $$)$ $$0\mathrm{.}00\mathrm{.}51\mathrm{.}01\mathrm{.}52\mathrm{.}02\mathrm{.}5$Probability of Loss $0\mathrm{.}0300\mathrm{.}0200\mathrm{.}0160\mathrm{.}0130\mathrm{.}0110\mathrm{.}01$