Consider a typical three$-$step airport security. The first step, verifying ID and boarding pass,

takes $30$ seconds per passenger. The second step, searching the passenger for metal objects

using a metal detector, takes $10$ seconds per passenger. The third step, running the carry$-$on

luggage through an x$-$ray machine, takes $60$ seconds per passenger. Assume that there are

many customers waiting in the process.

a$).$ Which resource is the bottleneck? b$).$ What is the capacity of the process? c$).$ What is the

flow rate? d$).$ What is the utilization of the metal detector? e$).$ What is the cycle time?