The University Replication Facility Provides Copier Repair Service for the University

question 97

Short Answer

The university replication facility provides copier repair service for the university and for local businesses. Over the last year the mean arrival rate is 55 copiers a month. The repair facility uses two identical repair technicians who can repair an average of 30 copiers each month. The system is set up as a single channel, first come first served, multi-server system.
a) What is the utilization of the service center?
b) What is the probability that no copiers will be in the system?
c) What is the average number of copiers waiting in line?
d) What is the average time a copier is waiting to be repaired?
e) What is the average number of copiers in the system?

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Definitions:

Rights Offer

A financial offering in which shareholders are given the right to purchase additional shares directly from the company at a discount before the new shares are offered to the public.

Existing Shareholders

Individuals or entities that currently own shares in a company and have an interest in its performance.

Firm Commitment

A commitment by an underwriter to buy all the unsold shares in an issue and sell them to the public, taking on the full risk of the sale.

Firm Commitment Underwriting

An agreement in which an underwriter commits to buying all the securities offered by the issuer and selling them to investors, taking on the full risk of selling the securities.