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Consider a Single-Line, Single-Server Waiting Line System

question 49

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Consider a single-line, single-server waiting line system. Suppose that customers arrive according to a Poisson distribution at an average rate of 50 per hour, and the average (exponentially distributed) service time is 45 seconds per customer. What is the average time spent in the system (in minutes)?


Definitions:

Differentiation Value

The unique value that a product or service offers to distinguish it from its competitors, enhancing its appeal to consumers.

Return on Investment

A performance measure used to evaluate the efficiency or profitability of an investment, calculated as the net profit from the investment divided by its cost.

Selling Price

The price at which a product or service is offered to customers for purchase.

Target Cost

The desired cost of a product determined by subtracting a desired profit margin from a competitive market price, guiding cost management efforts.

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