Suppose you have a three task sequence. All customers go to Task A. After task A, 20% of customers go to Task B; the other 80% go to task C. After task B or C, all customers then go to Task D before leaving. There is an inventory buffer in between each station. Each buffer is empty at the start of each day. Suppose throughput capacities are as follows. Task A: 30 customers/hour; task B: 10 customers/hour; task C: 20 customers/hour; task D, 32 customers/hour.

At what rate will customers leave task D (in customers/hour)?

Which tasks will be blocked?

Which tasks will be starved?

After 1 hour, how many units will be in the buffer between tasks A and B?

After 1 hour, how many units will be in the buffer between tasks B and C?

What would the utilization of Task A be?