$(20$ Points$)$ A cylindrical rod of diameter $12\mathrm{.}5$ mm fabricated from a $70Cu-30Zn$ brass alloy $($see the figure below$)$ is subjected to a repeated tensile$-$compression load cycling along its axis. Compute the maximum load that will be applied to yield a fatigue life of $1\mathrm{.}0{10}^6$ cycles. Assume that data in the figure were taken for repeated axial tensioncompression tests, that the stress plotted on the vertical axis is stress amplitude. The factor of safety $=2\mathrm{.}5.$