a billing clerk prepares the invoice $($step #$5),$ and the customer is contacted by phone for pick$-$up $($step #$6).$ The average throughput is three equipment units per hour. billing clerk, and one shipping clerk.

$\backslash$table$[[$Activity$,\backslash$table$[[$Activity Time$],[($minutes$)]],\backslash$table$[[$Activity$],[$Performed By$]]],[$Start$,-,],[1,9,$Service technician$],[2,17,$Service technician$],[3,22,$Service technician$],[4,12,$Inspector$],[5,3,$Billing clerk$],[6,7,$Billing clerk$],[7,25,$Shipping clerk$],[$End$,-,]]$

Round your answers to the nearest whole number.

a$.$ What is the service rate for the service technician?

minutes$/$unit

b$.$ What is the labor utilization rate $(\%)$ for the billing clerk?

$\%$

c$.$ What is the labor utilization rate $(\%)$ for the service technician?

$\%$

d$.$ Calculate the labor utilization rates $(\%)$ for the inspector and the shipping clerk.

Inspector utilization:

$\%$

Shipping clerk utilization: $\%$

What ion represents the bottleneck in this process?