Customers at an Amusement Park Arrive at the Rate of 10

question 66

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 total expected 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

---

Definitions:

Quantity Demanded

The total amount of a good or service that consumers are willing and able to purchase at a given price level in a market.

Quantity Supplied

The quantity of a product or service suppliers are prepared to offer for sale at a specific price.

Price Ceiling

A government-imposed limit on how high a price can be charged on a product, aiming to keep essential goods affordable.

Quantity Demanded

The total amount of a good or service that consumers are willing to purchase at a given price over a specified period.