In the same company, workers must transfer temperature$-$sensitive medication containers from incoming flat conveyor to an outgoing J$-$hook conveyor at a rate of about $3$ boxes per minute. Each tote box weights $15$ lbs and the worker performs this job for $8$ hours each day.$$ The worker can grasp the tote box quite comfortably.$$ The physical dimensions of the workplace that are relevant for using the NIOSH lifting equation are shown in the figure below.$$ More specifically, the horizontal distance between the hands and the midpoint between the ankles is $16$ inches.$$ It is assumed that this horizontal distance is kept relatively constant during lifting.$$ The vertical distance of the hands from the floor at the starting position of lifting is $44$ inches.$$ The vertical distance of the hands from the floor at the destination is $62$ inches.$$ Besides, it is estimated that the worker needs to twist his or her torso about $80$ while transferring a tote box from the incoming to the outgoing conveyor.$$ Please calculate $(1)$ the recommended weight limit $($RWL$),$ and $(2)$ the lifting index $($LI$).$