Problem#$1$

Automobile Driver's License Office

The state automobile driver's license office is under pressure to increase its productivity to accommodate $120$ applicants per hour with the addition of only one clerk to its present staff. The license renewal process currently is designed as a service line, with customers being processed in the fixed sequence listed in the table below. Activity $1($i$.$e$.,$ review application for correctness$)$ must be performed first, and activity $6($i$.$e$.,$ issue temporary license$)$ must be the last step. Activity $5($i$.$e$.,$ photograph applicant$)$ requires an expensive digital camera and color printer.

$\backslash$table$[[$Activity$,$Description,$\backslash$table$[[$Cycle Time$],[($Sec$.)]],\backslash$table$[[$Capacity$],[($Applicants per Hour$)]]],[1,$Review application for correctness,$15,],[2,$Process and record payment,$30,],[3,$Check for violations and restrictions,$60,],[4,$Conduct eye test,$40,],[5,$Photograph applicant,$20,],[6,$Issue temporary license,$30,]]$