The Owner of an Amusement Park Has Decided to Open

question 45

Multiple Choice

The owner of an amusement park has decided to open a second entry booth and hire another employee to service customers entering the park.Customers arrive at the rate of 20 per hour and will wait in a single line until one of the two employees is available to provide service.The average service time of both employees is 2 minutes to provide service.T The arrival rate follows Poisson distribution,and the service time follows a negative exponential distribution.It is estimated that the cost of customer waiting time associated with dissatisfied customers and loss of goodwill is $20 per hour.The employee at the service booth is paid $10 an hour.Determine the customer waiting time cost per day for the waiting line system.Assume total hours of operation as 10 hours per day.

• A)$16.67
• B)$17.67
• C)$15.67
• D)$14.56

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Definitions:

Probability

A measure or estimation of how likely it is that an event will occur, expressed as a value between 0 and 1.

Formulas

Prescribed or established sets of mathematical or symbolic rules used to solve a problem or ascertain a truth.

Thematic Apperception

A psychological method and assessment tool where individuals express their thoughts and feelings through the stories they make up about ambiguous images.

Need for Achievement

A psychological trait that drives an individual to pursue and attain goals, often characterized by determination and ambition.