TOM $3010,$ Operations Management, Spring $2024$

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

It is assumed that $2$ customers arrive at the hair salon every hour. The service process includes six

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 $(5$ minutes$).$

Activity $2$: Wash and condition hair $(5$ minutes$).$

Activity $3$: Neck, shoulder massage $(10$ minutes$).$

Activity $4$: Back stress$-$release massage $(10$ minutes$).$

Activity $5$: Design the hairstyle and do the hair $(20$ minutes$).$

Activity $6$: Check out the guest $(5$ minutes$).$

Three servers $($ $$1,$$$2,$ and $$3)$ offer services. The assignment of tasks to servers is the following:

S$1$ does activity $1$ and $2,$ S$2$ does activities $3$ and $4,$ and $S3$ does activities $5$ and $6.$

$($a$)$ What is the flow rate of the hair salon? $(\frac{20}{100})$

$($b$)$ At a wage rate of $$20$ per hour, what is the cost of direct labor per customer? $(\frac{15}{100})$

$($c$)$ What is the cycle time of the hair salon? $(\frac{15}{100})$

$($d$)$ What is the target manpower of the hair salon? $(\frac{15}{100})$