Question

The manager of a new entertainment park is bearing in mind setting up an information desk
operated by an employee. The founder believes that a Quantitative Analyst can apply Queuing
Theory principles and provides vital information for effective waiting line management. After a
couple of days of data collection, the Analyst obtained information and concluded that people will
arrive (following a poison distribution) at the desk at the rate of 30 per hour and it takes exactly 4
minutes to answer each question.

e) Find the average time a person seeking information spends at the desk.
f) Find the expected time a person spends waiting in line to have his question answered.
g) Is it necessary to add another employee? Justify your answer.
h) If the waiting cost is estimated to be R170 per hour and service cost at R75 per hour, what
will be the total cost?

Answer 1