$1.$ State Automobile License Renewal: Design $1$ product layout with $3$ work stations and $1$ product layout with $4$ work stations to accommodate $480$ applicants per hour and choose the better one! with equation please, thank you$$ Henry Coupe, the manager of a metropolitan branch office of the State Department of Motor Vehicles, attempted to analyze the driver's license$-$renewal operations. He had to perform several steps. After Examining the license$-$renewal process, he identified those steps and associated times required to perform each step, as shown in the following table: State Automobile License Renewals Process Times Coupe found that each step was assigned to a different person. Each application was a separate process in the sequence shown above. He determined that his office should be prepared to accommodate a maximum demand of processing $120$ renewal applicants per hour. He observed that work was unevenly divided among clerks and that the clerk responsible for checking violations tended to shortcut her task to keep up with the others. Long lines built up during the maximum$-$demand periods. Coupe also found that steps $1$ to $4$ were handled by general clerks who were each paid $ $6$ per hour. Step $5$ was performed by a photographer paid $ $8$ per hour. $($Branch offices were charged $ $5$ per hour for each camera to perform photography.$)$ Step $6,$ issuing temporary licenses, was required by state policy to be handled by uniformed motor vehicle officers. Officers were paid $ $9$ per hour but could be assigned to any job except photography. A review of the jobs indicated that step $1,$ reviewing applications for correctness, had to be performed before any other step could be taken. Similarly, step $6,$ issuing temporary licenses, could not be performed until all the other steps were completed. Henry Coupe was under severe pressure to increase productivity and reduce costs, but he was also told by the regional director that he must accommodate the demand for renewals. Otherwise, "heads would roll." Discussion Questions : $1.$ What is the maximum number of applications per hour that can be handled by the present configuration of the process $?2.$ How many applications can be processed per hour is a second clerk is added to check for violations $?3.$ Assuming the addition of one more clerk, what is the maximum number of applications the process can handle? $4.$ How would you suggest modifying the process in order to accommodate $120$ applications per hour $?$