a$)$ Which server is the bottleneck of the process?

b$)$ Utilization is defined as flow rate divided by capacity. What is the utilization of server $3?$

$($You can assume that the process operates at its overall capacity and you do not have to

consider any empty system effects.$)$

c$)$ What is the average labor utilization of the servers? Assume the process operates at its

capacity.

d$)$ Assume a wage rate of $$30$ per hour. What are the direct labor costs for one guest?

e$)$ To increase the service rate, Mr$.$ K is considering two alternatives:

Alternative I: To hire a new employee to help any one $($and only one$)$ of the servers

without changing the tasks performed by each server.

Alternative II: To redesign the assignment of tasks to servers. For this, Mr$.$ K is

evaluating to reassign Activity $4$ from S$3$ to S$1.$

What would be the costs of direct labor of serving one guest under each of the two

alternatives? Assume that the system operates at its capacity.