A $40$ in$.x36$ in$.$ rectangular column is subjected to a factored axial load of $P_u=1728$ kip and a factored bending moment $M_u=3630$kip$-ft.$ The moment is applied to the column and induced bending in its short dimension $($i$.$e$.h=36in.$ for the interaction diagrams$).$ The specified concrete and yield strength are $6$ksi and $60$ksi respectively. Using the interaction diagram below do the following:

A$.$ Determine the required reinforcement ratio of the column to resist the loads

B$.$ Select a reinforcement layout for the column

C$.$ Using the layout selected in part b$),$ check if requirements for longitudinal reinforcement in the column are satisfied