A $5\%$ upgrade on a six$-$lane freeway $($three lanes in each direction$)$ is $1\mathrm{.}25mi$ long. On this segment of freeway, there is $3\%$ SUTs and $7\%s,$ and the peak hour factor is $0\mathrm{.}9.$ The lanes are $12ft$ wide, there is no lateral obstructions within $6ft$ from the roadway, and the total ramp density is $1\mathrm{.}0$ ramps per mile. What is the maximum directional peak$-$hour volume that can be accommodated without exceeding LOS C operating conditions?