Problem $($Process Improvement$)$

Mr$.$ K$\text{'}$s is a very popular hair salon. It offers high$-$quality hairstyling services at a reasonable price.

So$,$ it always has unlimited demand. The service process includes five activities that are conducted in the

sequence described next $($the time required for each activity is shown in parentheses$)$:

Activity $1$: Welcome a guest and offer homemade herb tea $(10$ minutes$).$

Activity $2$: Wash and condition hair $(10$ minutes$).$

Activity $3$: Neck, shoulder, and back stress$-$release massage $(10$ minutes$).$

Activity $4$: Design the hairstyle and do the hair $(25$ minutes$).$

Activity $5$: Check out the guest $(5$ minutes$).$

Three servers $($S$1,$ S$2,$ and S$3)$ offer the services in a worker$-$paced line. The assignment of tasks to

servers is the following: $S1$ does activity $1,S2$ does activities $2$ and $3,$ and $S3$ does activities $4$ and $5.$

$1.$

$($a$)$ What is the flow rate of the process? $(20/100)$

$($b$)$ What is the cost of direct labor per customer? $(15/100)$

$($c$)$ What is the cycle time of the process? $(15/100)$

$($d$)$ What is the target manpower of the process? $(15/100)$

$2.$

$($a$)$ What is the idea cycle time to meet the demand? $(15/100)$

$($b$)$ What would be the profits per hour? $(20/100)$