During the dinner hour, the distribution of the inter-arrival time of customers at Burger Barn is predictable to be as follows:
Inter-arrival Time
Probability
30 seconds
.45
60 seconds
.25
90 seconds
.15
120 seconds
.10
150 seconds
.05
Sixty percent of customers pay along with cash, while 40% pay along with credit cards.
Payment Method
Cash
.60
Credit
.40
The service time of the cash and credit card customers are predictable to be as follows:
Credit Card
Service Time
20 seconds
.35
.20
40 seconds
.30
80 seconds
Simulate this system for 20 customer arrivals and determine the average time a cash and credit card customer must wait in line before paying the cashier. Use the random numbers in the table below to determine the customer inter-arrival time, whether the customer pays with cash or credit, the service time.
You will be working with three probabilistic variables, the inter-arrival time, the payment method and the service time. Please also use the excel template attached when solving this problem.
Random Numbers
63
10
19
46
73
79
86
28
35
0
51
56
91
54
67
14
59
64
93
24
69
70
84
33
1
81
17
9
48
11
50
66
88
40
27
94
41
4
29
71
34
83
68
7
82