Two New Checkout Scanning Systems Are Under Consideration by a Retail

question 4

Essay

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

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Definitions:

Breakdown Torque

The maximum torque a motor can produce when operating at full load, before the motor stalls or overheats.

Locked-rotor

Locked-rotor refers to a condition where the rotor of an electric motor cannot turn despite electrical current being applied, often due to mechanical obstruction or overload.

Locked-rotor

A condition where the motor's rotor is unable to move or rotate, typically due to excessive load or mechanical obstruction.

NEMA Design B

A specification by the National Electrical Manufacturers Association for standard efficiency induction motors with normal torque and low starting current.