$3($a$)$ Consider a process within a restaurant, which requires two employees. A customer enters the restaurant, and employee A fills the plate. It takes $5$ minutes for employee to do that. Next, employee accepts payment. It takes $2$ minutes for employee to do that. You can check that the process capacity is $12$ customers$/$hour$.$ If the demand rate is $10$ customers$/$hour$,$ what is the throughput rate of the system?

$3($b$)$ If the demand rate is instead $20$ customers$/$hour$,$ what is the throughput rate?

$3($c$)$ If the demand rate is $20$ customers $/$hour$,$ what is the actual utilization of employee A $($ in percentage $)?$ Please input only the number, for example, if the actua utilization is $72\%$input $72$ in the box.

$3($d$)$ If the demand rate is $60$ customers$/$hour$,$ what is the implied utilization of employee B $($in percentage$)?$ Please input only the numberfor example, if the is actual utilization is $72\%,$ input $72$ in the box