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Chapter 2: PROBLEM 10.4AE (page 260)

Question: On average, how many cars do you expect to have in the drive-thru line? (Include those waiting to place orders and those waiting for food.)

Short Answer

Expert verified

Answer

Drive-thru line: A drive-through or drive-thru is a type of take-out service provided by a business that allows customers to purchase products without leaving their cars.

Step by step solution

01

Drive-thru line

In a conventional drive-thru requesting framework, clients pay for their nourishment through the pickup window after setting their arrangement and sometimes getting their nutrition. Instalment more often than not includes a handoff of cash or card between the client and a staff.

02

Assume customer arrival to be Poisson distributed and service to be exponentially distributed

Arrival rate (λ) = 1 in 40 sec = 90 customers per hour.

Service rate for service championμs= 120 per hour

Service rate for food championμf= 100 per hour with 2 servers

Average total number in the system

= Average total number in the service champion system + Average total number in the food champion system

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