Customers at an Amusement Park Arrive at the Rate of 10

question 80

Multiple Choice

Customers at an amusement park arrive at the rate of 10 customers per hour.The entry booth is staffed by one employee.The mean service time at the booth to provide service to each customer is 5 minutes.The arrival rate follows a Poisson distribution,and the service time at the booth follows a negative exponential distribution.It is estimated that the cost of customer waiting time associated with dissatisfied customers and loss of goodwill is $15 per hour.The employee at the service booth is paid $10 an hour.Determine the capacity related cost per day for the waiting line system.Assume total hours of operation as 10 hours per day.

• A)$725
• B)$625
• C)$500
• D)$100

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Definitions:

Peptidoglycan

A polymer consisting of sugars and amino acids that forms a mesh-like layer outside the plasma membrane of most bacteria, providing structural support and giving the bacterial cell wall its rigidity.

Chlorophyll

A vital photosynthetic green pigment present in the chloroplasts of plants, algae, and certain bacteria.

Chlamydia

Chlamydia is a sexually transmitted infection caused by the bacterium Chlamydia trachomatis, leading to various health problems if untreated.

Mycobacteria

A genus of Actinobacteria, many species of which are pathogenic and cause diseases such as tuberculosis and leprosy.