Problem:

A cafeteria line employs 12 people: 3 cashiers, 8 pizza assemblers, and 1 person to disburse prepared pizzas. A customer joining the line selects a pizza by consulting the billboard, marks her selection on a customized form, and hands the form to one of several assemblers who produce the pizza. The customer does not wait for the pizza to be assembled, but proceeds directly down the line to select additional items onto her tray. Next, the customer proceeds to pay at the cash register. Finally, after the payment is completed, she collects her prepared pizza at a designated location.

Selecting the pizza and marking the form takes 45 seconds. Assembling the pizza requires 90 seconds. Selecting additional items takes 60 seconds. Paying at the cash register requires 50 seconds. Collecting the prepared pizza requires 20 seconds.

Required:

Question 1) Draw a process map.

Question 2) What is the theoretical flow time of the process?

Question 3) What is the capacity of the process?

Question 4) During rush hour, demand exceeds capacity and long lines form. Does it make sense to add a pizza assembler? Why or why not? Please limit your answer to 2-3 sentences.

Solve the given numerical problem and illustrate step by step calculation.