Question

A manager of a taco stand is interested in advertising to get more lunch time customers, but doesn’t know how much time it takes to process a single customer. The amount of time it takes to process a single customer will help the manager determine the maximum amount of customers they can process in the lunch hour. On average during lunch hour there are 12 people in line to approach the window. 4 people per minute leave the taco stand after receiving their food.
Fill in the blanks below.
I =________
R =_______
On average how long do customers wait in line? Calculate you answer in minutes. (Enter the value only. Do not enter text.)

Answer 1

Answer:

R = 4 customers per minute

I = 12 customers in line

average time (T) = 3 minutes per customer

Explanation:

if we follow Little's Law and its assumptions: L = λW

• L = average number of clients in line = 12
• λ = arrival or departure rate = 4 per minute
• W = average waiting time

W = L / λ

average waiting time = average number of clients in line / average number of clients arriving (or departing) = 12 / 4 = 3 minutes

Little's Law can also be written as I = RT

I = L

R = λ