The Arctic Flyers Minor League Hockey Team Has One Box

question 2

Essay

The Arctic Flyers minor league hockey team has one box office clerk.On average,each customer that comes to see a game can be sold a ticket at the rate of eight per minute.For normal games,customers arrive at the rate of five per minute.Assume arrivals follow the Poisson distribution and service times follow the exponential distribution.
a.What is the average number of customers waiting in line?
b.What is the average time a customer spends in the waiting line?
c.What is the average number of customers in the system?
d.What is a customer's average time in the system?
e.What is the probability that someone will be buying tickets when an arrival occurs?
The Flyers are playing in the league playoffs and anticipate more fans,estimating that the arrival rate will increase to 12 per minute.Output is supplied for two- and three-cashier systems.
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Definitions:

Managerial Problem Solving

The process by which managers identify, analyze, and resolve issues within an organizational context using strategic thinking, decision-making techniques, and leadership skills.

Certainty

A condition in decision-making where all necessary information is known and the outcome of a decision is predictable.

Best Solution

The optimal resolution or answer to a problem that maximizes effectiveness and efficiency while minimizing downsides and costs.

Decision Making

The process of choosing between alternatives to reach a conclusion or strategy.