The Owner of an Amusement Park Has Decided to Open

question 17

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.Determine the average time the customer spends in the queue.

• A)2.25 minutes
• B)3 minutes
• C)0.25 minutes
• D)1 minute

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Definitions:

Linear Optimization

A mathematical method for determining the best allocation of limited resources to achieve maximum profit or minimum cost, under a set of linear relationships.

Objective Function

A mathematical formula used in optimization to define the goal of the decision-making process, typically to maximize or minimize some quantity.

Minimize

The process of reducing or making as small as possible, often used in the context of optimization problems.

Solver Reports

A summary or output generated by computational software to provide insights or solutions to optimization or mathematical problems.