On weekend evenings, customers arrive at the Showcase SuperLux (movie theater) at an average rate of 180 per hour. On average, there are 14 customers waiting in line to purchase tickets. After waiting in line, it takes about 45 seconds for a customer to "finish" ticket purchase. After purchasing tickets, 85 percent of customers purchase refreshments at the concession counter. On average, there are 22 customers waiting in line to buy refreshments. After waiting in line, the average time to "finish" purchase at the concession counter is 3 minutes. When customers have completed refreshment purchases, they proceed to the auditorium where their movie is shown. Customers that decide not to purchase refreshments proceed directly to an auditorium after their ticket purchase.

Assumptions:

• Each individual customer purchases his/her own ticket and his/her own refreshments (in other words, individuals do not purchase tickets or refreshments for groups).
• No pre-purchased tickets (online) or self-serve kiosk purchases
• The process described above is stable (i.e., the average inflow rate is equal to the average outflow rate).

Question 1

2 pts

What is the inventory (I) of customers purchasing tickets?

(Hint - this does not include customers waiting in line to purchase tickets)

Question 2

2 pts

What is the inventory (I) of customers purchasing refreshments?

(Hint - this does not include customers waiting in line to purchase refreshments)

Question 3

2 pts

What is the flow time (T) of customers waiting in line to purchase tickets? Please provide your answer in minutes.

Question 4

2 pts

What is the flow time (T) of customers waiting in line to purchase refreshments? Please provide your answer in minutes.

Question 5

2 pts

What is the total flow time (T) for the entire process? Please provide your answer in minutes.