The Average Waiting Time in a Line Before Getting Served

question 97

Essay

The average waiting time in a line before getting served is given by
W = S(S A-A)
where A is the average rate that people arrive at the line and S is the average service time. At a certain bank, the average service time is 4 minutes. By sketching a graph of the equation on the interval (0, 4], answer the following questions.
What happens to W when A is close to zero? Why does this make sense? What feature of your graph gives this information?

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Definitions:

Formal Operational Stage

The fourth and final stage of Jean Piaget's theory of cognitive development, characterized by the ability to think abstractly, logically, and systematically.

Abstract Thinking

The ability to think about objects, principles, and ideas that are not physically present.

Hypothetical Propositions

Statements or assertions that propose a possibility or theoretical scenario for the sake of argument.

Concrete Operational

The concrete operational stage is a phase in Piaget's theory of cognitive development where children between about 7 and 12 years old develop logical thinking but still struggle with abstract concepts.