Q$1$:

Billy's Hamburger Barn has a single drive$-$up window. Currently, there is one attendant at the window who takes the order $(30-40$ seconds$),$ gathers up the food and bags it $(30-120$ seconds$),$ and then takes the customer's money $(30-40$ seconds$)$ before handling the food to the customer.

a$).$ Map the current process. What is the minimum cycle time? The longest cycle time?

b$).$ Suppose Billy's Hamburger Barn redesigns the process so there are now two attendants. The first attendant takes the order. Once this step is finished, the first attendant then takes the money, and the second one gathers up and bags the food. If two of the process stops can now run in parallel $($gathering the food and taking the money$),$ what is the new minimum cycle time? What is the longest cycle time? What potential problems could arise by splitting the process across two individuals?

Q$2$:

Average waiting times and ride times for two of DizzyWorld's rides are as follows:

$\backslash$table$[[$RIDE$,\backslash$table$[[$AVERAGE WAITING$],[$TIME$]],\backslash$table$[[$LENGTH OF$],[$RIDE$]],$TOTAL PROCESS$],[$Magical Mushroom,$30$ minutes,$10$ minutes,$40$ minutes$],[\backslash$table$[[$Haunted Roller$],[$Coaster$]],40$ minutes,$5$ minutes,$45$ minutes$]]$

a$.(*)$ Calculate the percent value$-$added time for each ride.

b$.(**)$ Now suppose DizzyWorld puts in place a reservation system for the Haunted Roller Coaster ride. Here's how it works: The customer receives a coupon that allows him to come back in $40$ minutes and immediately go to the front of the line. In the meantime, the customer can wait in line and then ride the Magical Mushroom. Under this new system, what is the customer's total time waiting? Total time riding? What is the new percent$-$value added time?