What is the average customer waiting time and the graduate student's utilization?

Assume that order prep time is based on the following distribution:

Prep Time Probability
3 .10
4 .20
5 .25
6 .20
7 .15
8 .10

Complete the following table given that the random numbers for order prep time for customers 3, 4, and 5 are 62, 93, and 26, respectively.

Arrival
Number Time of
Arrival Time Order Taken Order Prep Time Customer Receives Food Customer Wait Time Cook "Idle" Time
1 1 1 4 5 0 1
2 5 5 7 12 0 0
3 7
4 10
5 18


Answer:
Arrival
Number Time of
Arrival Time Order Taken Order Prep Time Customer Receives Food Customer Wait Time Cook "Idle" Time
1 1 1 4 5 0 1
2 5 5 7 12 0 0
3 7 12 6 18 5 0
4 10 18 8 26 8 0
5 18 26 4 30 8 0

Average wait time = 4.2 minutes; utilization = 96.67%

Business

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