Prob. $1(25$ points$)$

$5$

Drexel hair salon offers high$-$quality hairstyling and physical relaxation services at a reasonable price, so it has unlimited demand. The service process consists of five activities $($i$.$e$.,$ five workers$)$ conducted sequentially. Activity $1$: Welcome and offer the customer a cup of coffee or tea $(10$min $)$; Activity $2$: Wash and condition hair $(10$min $)$; Activity $3$: Stress release massage $(10$min $)$; Activity $4$: Design the hairstyle and do the hair $(25$min; Activity $5$: Ring up the customer's bill $).$ Find the following for a typical $8-$hour workday from $9$:$00$ a$.$m$.$ to $5$:$00$ p$.$m$.$

$($a$)$ Which activity is the bottleneck?

The activing $4$ is the bottlenech $(25$m inves$)$

$($b$)$ What is the capacity of the hair salon per hour?

The capacity $=\frac{60}{25}$~~$2\mathrm{.}4$ customers howr

$($c$)$ What is the utilization of the employee at activitv $27$

$($d$)$ What is the cycle time?

CT $=2$ Sminutes $($bottleneck$)$

$($e$)$ What is the flow rate?

flac tine $=10+10+1025+5-$

cisy for $8$ hours $=248=19\mathrm{.}2$ customers