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Two New Checkout Scanning Systems Are Under Consideration by a Retail

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Two new checkout scanning systems are under consideration by a retail store. Arrivals to the checkout stand follow the Poisson distribution with λ\lambda = 2 per minute. The cost for waiting is $18 per hour. The first system has an exponential service rate of 5 per minute and costs $10 per hour to operate. The second system has an exponential service rate of 8 per minute and costs $20 per hour to operate. Which system should be chosen?

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Definitions:

Net Income

The profit a company retains after all expenses and taxes have been removed from its revenue.

Inventory

A company's merchandise, raw materials, and finished and unfinished products which have not yet been sold.

Perpetual Inventory Method

An inventory management system where updates are made continuously to record sales and purchases instantly, maintaining constant and accurate inventory records.

Consolidation Worksheet

A tool used in accounting to combine the financial statements of parent and subsidiary companies into a single document for analysis.

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