$(25$ pts$)$ Using LRFD determine the maximum service load Q $($kips$)($ Q is a live load$)$ at the mid$-$height of the beam$-$column shown that is part of a braced frame $($BF$)$ system. Assume the member is hinged with respect to bending in both x and y directions at top and bottom. Additionally, lateral support occurs in the weak direction at mid$-$height. Axial compression service dead load is $100$ kips and the live load is $150$ kips. The section is W$12$ x$136$ and A$36$ steel. Please determine C$\_$b and use it to help your beam$-$column capacity.