Determine the customer inter-arrival time, Cost Accounting

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

Probability

Cash

.60

Credit

.40

The service time of the cash and credit card customers are predictable to be as follows:

Cash

Credit Card

Service Time

Probability

Service Time

Probability

20 seconds

.35

30 seconds

.20

40 seconds

.30

60 seconds

.45

60 seconds

.25

90 seconds

.25

80 seconds

.10

120 seconds

.10

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

Inter-arrival Time

Payment Method

Service Time

63

10

19

46

73

79

86

28

35

0

51

63

56

91

54

67

14

51

59

64

93

28

24

69

79

70

14

64

84

35

33

73

1

81

17

9

17

48

70

63

11

50

66

88

40

27

94

41

4

29

71

34

83

68

7

71

50

69

27

82

Posted Date: 4/1/2013 5:42:56 AM | Location : United States







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