A custom machine shop is able to process 25 orders per day. The average processing time is 4 days. What is the average number of orders that are in process at any time?
A) Less than 50
B) More than 50 but less than or equal to 100
C) More than 100 but less than or equal to 150
D) More than 150 but less than or equal to 200

Question

Quizplus · Accepted Answer

The average number of orders in process at any time can be calculated using Little's Law, which states that the average number of items (L) in a queuing system equals the average arrival rate (λ) times the average time an item spends in the system (W). Here, λ = 25 orders/day and W = 4 days, so L = λW = 25 orders/day * 4 days = 100 orders. This falls into the range of "More than 50 but less than or equal to 100."

A Custom Machine Shop Is Able to Process 25 Orders