Students Arrive Randomly at the Help Desk of the Computer

question 112

Multiple Choice

Students arrive randomly at the help desk of the computer lab. There is only one service agent, and the time required for inquiry varies from student to student. Arrival rates have been found to follow the Poisson distribution, and the service times follow the negative exponential distribution. The average arrival rate is 12 students per hour, and the average service rate is 20 students per hour. A student has just entered the system. How long is she expected to stay in the system?

• A) 0.125 minute
• B) 0.9 minute
• C) 1.5 minutes
• D) 7.5 minutes
• E) 0.075 hour

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Definitions:

Total Cost

All expenses a business incurs to produce goods or services, including both fixed and variable components.

Price of Capital

The cost of borrowing money to purchase capital assets or the returns expected by investors for providing capital.

Price of Labor

The compensation received by employees for their work, typically measured as an hourly wage or annual salary.

Isoquant

A curve depicting all the combinations of inputs that result in the production of a specific amount of output, illustrating the concept of production efficiency.