Midterm Exam #$1$

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

$1.$ Mr$.$ K$$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 $($S$1,$ S$2,$ and S$3)$ 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 S$3$ does activities $5$ and $6.$

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

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

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

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