Total work content for a product assembled on a manual production line is $33\mathrm{.}0$ min.

Production rate of the line $=40$ units$/$hr$.$ Base parts are attached to a moving conveyor

whose speed $=2\mathrm{.}2$ m$/$min$.$ Repositioning time per worker is $6$ sec$,$ and line efficiency is

$95\%.$ Due to imperfect line balancing, the number of workers needed on the line must be

two more workers than the number required for perfect balance. Manning level $=1\mathrm{.}35,$

excluding utility workers. Determine the $($a$)$ number of workers and $($b$)$ number of

workstations on the line. $($c$)$ What is the balance efficiency for this line? $($d$)$ If the

workstations are arranged in a line, and the length of each station is $3\mathrm{.}7$ m$,$ what is the

tolerance time in each station? $($e$)$ What is the elapsed time a work unit spends on the line?

$(11$pts$)$