a$.$ Assuming that the desired output is $60$ customers per hour, what are the cycle time and minimum number of stations $($workers$)$ needed?

Cycle time $=60$ customers$/60$ minutes $=1$ customer per minute $=60$ seconds

Minimum number of workers needed $=(25+30+20+15+10+60)/60=160/60=2\mathrm{.}66$

The cycle time is $60$ seconds and the minimum number of workers needed is $3.$

b$.$ Using cycle time of $60$ seconds and $$Assign the task with the longest time$$ heuristic rule, perform assembly line balancing for the cafeteria.

Station Time left Eligible Will fit Assign $($time$)$ Idle

$160$