Six$-$Points$-$Saco is a specialty subs$-$taco restaurant. Management wants to maximize the productivity of their staff, as well as serve customers in a timely fashion. One area of concern is the drive$-$thru operation during the $11$:$30$ am to $12$:$30$ pm lunch hour. The following table displays the tasks and their times, along with sequence of tasks restrictions:

$\backslash$table$[[,$Task,Time $(sec),$Immediate predecessors$],[1,$Take order at the booth,$25,$Task $1],[2,\backslash$table$[[$Collect money at the$],[$window$]],20,$Task $2],[3,$Gather drinks,$35,$Task $2],[4,$Assemble taco order,$32,$Task $2],[5,$Assemble sub order,$30,$Tasks $3,4,5],[6,\backslash$table$[[$Put drinks, taco, and sub$],[$in a bag$]],25,$Task $6],[7,\backslash$table$[[$Give the bag to the$],[$customer$]],10,]]$

If all seven tasks are handled by one employee, how many customers could be served per hour?

If management wants to be able to serve $45$ customers per hour, how many employees will be needed?

With the number of employees you have in part b$),$ what is the maximum number of customers who could be served per hour?

Assuming that no task is assigned to more than one employee, what is the maximum output capacity? How many employees will be needed to accomplish this?

If management wants to add one more employee $($beyond part d$),$ where should the worker be added? What the new output capacity?