During the Early Morning Hours, Customers Arrive at a Branch

question 19

Essay

During the early morning hours, customers arrive at a branch post office at an average rate of 45 per hour (Poisson), while clerks can handle transactions in an average time (exponential) of 4 minutes each.Find:
(A) the average number of customers waiting for service if 6 clerks are used
(B) the minimum number of clerks needed to keep the average time in the system to under 5 minutes
(C) If clerk cost is $30 per hour and customer waiting time represents a "cost" of $20 per hour, how many clerks can be justified on a cost basis?

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Definitions:

Self-regulation

The ability to manage one's emotions, thoughts, and behaviors in different situations, effectively controlling impulses and actions.

Heteronomous Morality

A stage in moral development where individuals base their judgments on the dictates of authority figures.

Social Conventions

Established norms or behaviors that are accepted and enforced by society or social groups.

Moral Rules

Principles or standards of behavior that guide actions based on notions of right and wrong.