The process for renewing a driver's license at the Archer County Courthouse is as follows. First, the clerk fills out the application; then the clerk takes the driver's picture; and finally, a typist enters the information into the computer system and processes the new license. It takes an average of six minutes to fill out an application, two minutes to take a picture, and nine minutes to process the new license. Due to county and state budget cuts, Archer County Courthouse now has only two clerks and two typists and expects to process $45$ drivers$/$hour$.$

The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.

Questions

$1.$ What is the current labor utilization of each labor type? Round your answers to the nearest whole number.

Utilization $($Clerks$)$:$\%$

Utilization $($Typists$)$:$\%$

$2.$ Where is the bottleneck in this three$-$stage process? Both the clerks and typists have an $80$ percent target utilization. Do not round intermediate calculations. Round up your answers to the nearest whole number.

The clerks: Choose one: $($are$/$are not$)$ the bottleneck resource. To reach $80\%$ target utilization, how many clerks are needed?

The typists: Choose one: $($are$/$are not$)$ the bottleneck resource. To reach $80\%$ target utilization, how many typists are needed?