Example $6$

The work content for a product assembled on a manual production line is $48$min. The work is transported using a continuous overhead conveyor that operates at a speed of $5f\frac{t}{m}in.$ There are $24$ workstations on the line, one$-$third of which have two workers; the remaining stations each have one worker. Repositioning time per worker is $9sec,$ and uptime efficiency of the line is $95\%.($a$)$ What is the maximum possible hourly production rate if the line is assumed to be perfectly balanced? $($b$)$ If the actual production rate is only $92\%$ of the maximum possible rate determined in part $($a$),$ what is the balance delay on the line?